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Burgers-KPZ turbulence : Göttingen lectures / / Wojbor A. Woyczyński
Burgers-KPZ turbulence : Göttingen lectures / / Wojbor A. Woyczyński
Autore Woyczyński W. A (Wojbor Andrzej), <1943->
Edizione [1st ed. 1998.]
Pubbl/distr/stampa Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1998]
Descrizione fisica 1 online resource (XII, 328 p.)
Disciplina 510
Collana Lecture Notes in Mathematics
Soggetto topico Turbulence - Mathematical models
Burgers equation
ISBN 3-540-49480-4
Classificazione 60H15
76L05
35Q53
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Shock waves and the large scale structure (LSS) of the universe -- Hydrodynamic limits, nonlinear diffusions, and propagation of chaos -- Hopf-Cole formula and its asymptotic analysis -- Statistical description, parabolic approximation -- Hyperbolic approximation and inviscid limit -- Forced Burgers turbulence -- Passive tracer transport in Burgers' and related flows -- Fractal Burgers-KPZ models.
Record Nr. UNISA-996466619603316
Woyczyński W. A (Wojbor Andrzej), <1943->  
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1998]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Degenerate nonlinear diffusion equations / Angelo Favini, Gabriela Marinoschi
Degenerate nonlinear diffusion equations / Angelo Favini, Gabriela Marinoschi
Autore Favini, Angelo
Pubbl/distr/stampa Berlin ; New York : Springer, c2012
Descrizione fisica xxi, 143 p. : col. ill. ; 23 cm
Disciplina 515.353
Altri autori (Persone) Marinoschi, Gabrielaauthor
Collana Lecture notes in mathematics, 0075-8434 ; 2049
Soggetto topico Burgers equation
Degenerate differential equations
ISBN 9783642282843
Classificazione LC QA377.F38
AMS 35K35
AMS 47H
AMS 35R35
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001809529707536
Favini, Angelo  
Berlin ; New York : Springer, c2012
Materiale a stampa
Lo trovi qui: Univ. del Salento
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The dynamics of modulated wave trains / / Arjen Doelman [and three others]
The dynamics of modulated wave trains / / Arjen Doelman [and three others]
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (122 p.)
Disciplina 515.3534
Collana Memoirs of the American Mathematical Society
Soggetto topico Reaction-diffusion equations
Approximation theory
Burgers equation
Soggetto genere / forma Electronic books.
ISBN 1-4704-0540-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Notation""; ""Chapter 1. Introduction""; ""1.1. Grasshopper's guide""; ""1.2. Slowly-varying modulations of nonlinear wave trains""; ""1.3. Predictions from the Burgers equation""; ""1.4. Verifying the predictions made from the Burgers equation""; ""1.5. Related modulation equations""; ""1.6. References to related works""; ""Chapter 2. The Burgers equation""; ""2.1. Decay estimates""; ""2.2. Fronts in the Burgers equation""; ""Chapter 3. The complex cubic Ginzburg�Landau equation""; ""3.1. Set-up""; ""3.2. Slowly-varying modulations of the k = 0 wave train: Results""
""3.3. Derivation of the Burgers equation""""3.4. The construction of higher-order approximations""; ""3.5. The approximation theorem for the wave numbers""; ""3.6. Mode filters, and separation into critical and noncritical modes""; ""3.7. Estimates of the linear semigroups""; ""3.8. Estimates of the residual""; ""3.9. Estimates of the errors""; ""3.10. Proofs of the theorems from Â3.2""; ""Chapter 4. Reaction-diffusion equations: Set-up and results""; ""4.1. The abstract set-up""; ""4.2. Expansions of the linear and nonlinear dispersion relations""
""4.3. Formal derivation of the Burgers equation""""4.4. Validity of the Burgers equation""; ""4.5. Existence and stability of weak shocks""; ""Chapter 5. Validity of the Burgers equation in reaction-diffusion equations""; ""5.1. From phases to wave numbers""; ""5.2. Bloch-wave analysis""; ""5.3. Mode filters, and separation into critical and noncritical modes""; ""5.4. Estimates for residuals and errors""; ""5.5. Proofs of the theorems from Â4.4""; ""Chapter 6. Validity of the inviscid Burgers equation in reaction-diffusion systems""; ""6.1. An illustration: The Ginzburgâ€?Landau equation""
""6.2. Formal derivation of the conservation law""""6.3. Validity of the inviscid Burgers equation""; ""6.4. Proof of the theorems from Â6.3""; ""Chapter 7. Modulations of wave trains near sideband instabilities""; ""7.1. Introduction""; ""7.2. An illustration: The Ginzburgâ€?Landau equation""; ""7.3. Validity of the Kortewegâ€?de Vries and the Kuramotoâ€?Sivashinsky equation""; ""7.4. Proof of Theorem 7.2""; ""7.5. Proof of Theorem 7.5""; ""Chapter 8. Existence and stability of weak shocks""; ""8.1. Proof of Theorem 4.10""; ""8.2. Proof of Theorem 4.12""
""Chapter 9. Existence of shocks in the long-wavelength limit""""9.1. A lattice model for weakly interacting pulses""; ""9.2. Proof of Theorem 9.2""; ""Chapter 10. Applications""; ""10.1. The FitzHugh�Nagumo equation""; ""10.2. The weakly unstable Taylor�Couette problem""; ""Bibliography""
Record Nr. UNINA-9910480757103321
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The dynamics of modulated wave trains / / Arjen Doelman [and three others]
The dynamics of modulated wave trains / / Arjen Doelman [and three others]
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (122 p.)
Disciplina 515.3534
Collana Memoirs of the American Mathematical Society
Soggetto topico Reaction-diffusion equations
Approximation theory
Burgers equation
ISBN 1-4704-0540-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Notation""; ""Chapter 1. Introduction""; ""1.1. Grasshopper's guide""; ""1.2. Slowly-varying modulations of nonlinear wave trains""; ""1.3. Predictions from the Burgers equation""; ""1.4. Verifying the predictions made from the Burgers equation""; ""1.5. Related modulation equations""; ""1.6. References to related works""; ""Chapter 2. The Burgers equation""; ""2.1. Decay estimates""; ""2.2. Fronts in the Burgers equation""; ""Chapter 3. The complex cubic Ginzburg�Landau equation""; ""3.1. Set-up""; ""3.2. Slowly-varying modulations of the k = 0 wave train: Results""
""3.3. Derivation of the Burgers equation""""3.4. The construction of higher-order approximations""; ""3.5. The approximation theorem for the wave numbers""; ""3.6. Mode filters, and separation into critical and noncritical modes""; ""3.7. Estimates of the linear semigroups""; ""3.8. Estimates of the residual""; ""3.9. Estimates of the errors""; ""3.10. Proofs of the theorems from Â3.2""; ""Chapter 4. Reaction-diffusion equations: Set-up and results""; ""4.1. The abstract set-up""; ""4.2. Expansions of the linear and nonlinear dispersion relations""
""4.3. Formal derivation of the Burgers equation""""4.4. Validity of the Burgers equation""; ""4.5. Existence and stability of weak shocks""; ""Chapter 5. Validity of the Burgers equation in reaction-diffusion equations""; ""5.1. From phases to wave numbers""; ""5.2. Bloch-wave analysis""; ""5.3. Mode filters, and separation into critical and noncritical modes""; ""5.4. Estimates for residuals and errors""; ""5.5. Proofs of the theorems from Â4.4""; ""Chapter 6. Validity of the inviscid Burgers equation in reaction-diffusion systems""; ""6.1. An illustration: The Ginzburgâ€?Landau equation""
""6.2. Formal derivation of the conservation law""""6.3. Validity of the inviscid Burgers equation""; ""6.4. Proof of the theorems from Â6.3""; ""Chapter 7. Modulations of wave trains near sideband instabilities""; ""7.1. Introduction""; ""7.2. An illustration: The Ginzburgâ€?Landau equation""; ""7.3. Validity of the Kortewegâ€?de Vries and the Kuramotoâ€?Sivashinsky equation""; ""7.4. Proof of Theorem 7.2""; ""7.5. Proof of Theorem 7.5""; ""Chapter 8. Existence and stability of weak shocks""; ""8.1. Proof of Theorem 4.10""; ""8.2. Proof of Theorem 4.12""
""Chapter 9. Existence of shocks in the long-wavelength limit""""9.1. A lattice model for weakly interacting pulses""; ""9.2. Proof of Theorem 9.2""; ""Chapter 10. Applications""; ""10.1. The FitzHugh�Nagumo equation""; ""10.2. The weakly unstable Taylor�Couette problem""; ""Bibliography""
Record Nr. UNINA-9910788854903321
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The dynamics of modulated wave trains / / Arjen Doelman [and three others]
The dynamics of modulated wave trains / / Arjen Doelman [and three others]
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (122 p.)
Disciplina 515.3534
Collana Memoirs of the American Mathematical Society
Soggetto topico Reaction-diffusion equations
Approximation theory
Burgers equation
ISBN 1-4704-0540-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Notation""; ""Chapter 1. Introduction""; ""1.1. Grasshopper's guide""; ""1.2. Slowly-varying modulations of nonlinear wave trains""; ""1.3. Predictions from the Burgers equation""; ""1.4. Verifying the predictions made from the Burgers equation""; ""1.5. Related modulation equations""; ""1.6. References to related works""; ""Chapter 2. The Burgers equation""; ""2.1. Decay estimates""; ""2.2. Fronts in the Burgers equation""; ""Chapter 3. The complex cubic Ginzburg�Landau equation""; ""3.1. Set-up""; ""3.2. Slowly-varying modulations of the k = 0 wave train: Results""
""3.3. Derivation of the Burgers equation""""3.4. The construction of higher-order approximations""; ""3.5. The approximation theorem for the wave numbers""; ""3.6. Mode filters, and separation into critical and noncritical modes""; ""3.7. Estimates of the linear semigroups""; ""3.8. Estimates of the residual""; ""3.9. Estimates of the errors""; ""3.10. Proofs of the theorems from Â3.2""; ""Chapter 4. Reaction-diffusion equations: Set-up and results""; ""4.1. The abstract set-up""; ""4.2. Expansions of the linear and nonlinear dispersion relations""
""4.3. Formal derivation of the Burgers equation""""4.4. Validity of the Burgers equation""; ""4.5. Existence and stability of weak shocks""; ""Chapter 5. Validity of the Burgers equation in reaction-diffusion equations""; ""5.1. From phases to wave numbers""; ""5.2. Bloch-wave analysis""; ""5.3. Mode filters, and separation into critical and noncritical modes""; ""5.4. Estimates for residuals and errors""; ""5.5. Proofs of the theorems from Â4.4""; ""Chapter 6. Validity of the inviscid Burgers equation in reaction-diffusion systems""; ""6.1. An illustration: The Ginzburgâ€?Landau equation""
""6.2. Formal derivation of the conservation law""""6.3. Validity of the inviscid Burgers equation""; ""6.4. Proof of the theorems from Â6.3""; ""Chapter 7. Modulations of wave trains near sideband instabilities""; ""7.1. Introduction""; ""7.2. An illustration: The Ginzburgâ€?Landau equation""; ""7.3. Validity of the Kortewegâ€?de Vries and the Kuramotoâ€?Sivashinsky equation""; ""7.4. Proof of Theorem 7.2""; ""7.5. Proof of Theorem 7.5""; ""Chapter 8. Existence and stability of weak shocks""; ""8.1. Proof of Theorem 4.10""; ""8.2. Proof of Theorem 4.12""
""Chapter 9. Existence of shocks in the long-wavelength limit""""9.1. A lattice model for weakly interacting pulses""; ""9.2. Proof of Theorem 9.2""; ""Chapter 10. Applications""; ""10.1. The FitzHugh�Nagumo equation""; ""10.2. The weakly unstable Taylor�Couette problem""; ""Bibliography""
Record Nr. UNINA-9910829176903321
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonlinear diffusion equations [[electronic resource] /] / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Nonlinear diffusion equations [[electronic resource] /] / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (xvii, 502 p.)
Disciplina 515/.352
Altri autori (Persone) WuZhuoqun
Soggetto topico Burgers equation
Heat equation
Soggetto genere / forma Electronic books.
ISBN 1-281-95135-8
9786611951351
981-279-979-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ch. 1. Newtonian filtration equations. 1.1. Introduction. 1.2. Existence and uniqueness of solutions: One dimensional case. 1.3. Existence and uniqueness of solutions: Higher dimensional case. 1.4. Regularity of solutions: One Dimensional case. 1.5. Regularity of solutions: Higher dimensional case. 1.6. Properties of the free boundary: One dimensional case. 1.7. Properties of the free boundary: Higher dimensional case. 1.8. Initial trace of solutions. 1.9. Other problems -- ch. 2. Non-Newtonian filtration equations. 2.1. Introduction. Preliminary knowledge. 2.2. Existence of solutions. 2.3. Harnack inequality and the initial trace of solutions. 2.4. Regularity of solutions. 2.5. Uniqueness of solutions. 2.6. Properties of the free boundary. 2.7. Other problems -- ch. 3. General quasilinear equations of second order. 3.1. Introduction. 3.2. Weakly degenerate equations in one dimension. 3.3. Weakly Degenerate equations in higher dimension. 3.4. Strongly degenerate equations in one dimension. 3.5. Degenerate equations in higher dimension without terms of lower order. 3.6. General strongly degenerate equations in higher dimension -- ch. 4. Nonlinear diffusion equations of higher order. 4.1. Introduction. 4.2. Similarity solutions of a fourth order equation. 4.3. Equations with double-degeneracy. 4.4. Cahn-Hilliard equation with constant mobility. 4.5. Cahn-Hilliard equations with positive concentration dependent mobility. 4.6. Thin film equation. 4.7. Cahn-Hilliard equation with degenerate mobility.
Record Nr. UNINA-9910454363903321
River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonlinear diffusion equations [[electronic resource] /] / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Nonlinear diffusion equations [[electronic resource] /] / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (xvii, 502 p.)
Disciplina 515/.352
Altri autori (Persone) WuZhuoqun
Soggetto topico Burgers equation
Heat equation
ISBN 1-281-95135-8
9786611951351
981-279-979-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ch. 1. Newtonian filtration equations. 1.1. Introduction. 1.2. Existence and uniqueness of solutions: One dimensional case. 1.3. Existence and uniqueness of solutions: Higher dimensional case. 1.4. Regularity of solutions: One Dimensional case. 1.5. Regularity of solutions: Higher dimensional case. 1.6. Properties of the free boundary: One dimensional case. 1.7. Properties of the free boundary: Higher dimensional case. 1.8. Initial trace of solutions. 1.9. Other problems -- ch. 2. Non-Newtonian filtration equations. 2.1. Introduction. Preliminary knowledge. 2.2. Existence of solutions. 2.3. Harnack inequality and the initial trace of solutions. 2.4. Regularity of solutions. 2.5. Uniqueness of solutions. 2.6. Properties of the free boundary. 2.7. Other problems -- ch. 3. General quasilinear equations of second order. 3.1. Introduction. 3.2. Weakly degenerate equations in one dimension. 3.3. Weakly Degenerate equations in higher dimension. 3.4. Strongly degenerate equations in one dimension. 3.5. Degenerate equations in higher dimension without terms of lower order. 3.6. General strongly degenerate equations in higher dimension -- ch. 4. Nonlinear diffusion equations of higher order. 4.1. Introduction. 4.2. Similarity solutions of a fourth order equation. 4.3. Equations with double-degeneracy. 4.4. Cahn-Hilliard equation with constant mobility. 4.5. Cahn-Hilliard equations with positive concentration dependent mobility. 4.6. Thin film equation. 4.7. Cahn-Hilliard equation with degenerate mobility.
Record Nr. UNINA-9910782387703321
River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonlinear diffusion equations / / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Nonlinear diffusion equations / / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Edizione [1st ed.]
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (xvii, 502 p.)
Disciplina 515/.352
Altri autori (Persone) WuZhuoqun
Soggetto topico Burgers equation
Heat equation
ISBN 9786611951351
9781281951359
1281951358
9789812799791
9812799796
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ch. 1. Newtonian filtration equations. 1.1. Introduction. 1.2. Existence and uniqueness of solutions: One dimensional case. 1.3. Existence and uniqueness of solutions: Higher dimensional case. 1.4. Regularity of solutions: One Dimensional case. 1.5. Regularity of solutions: Higher dimensional case. 1.6. Properties of the free boundary: One dimensional case. 1.7. Properties of the free boundary: Higher dimensional case. 1.8. Initial trace of solutions. 1.9. Other problems -- ch. 2. Non-Newtonian filtration equations. 2.1. Introduction. Preliminary knowledge. 2.2. Existence of solutions. 2.3. Harnack inequality and the initial trace of solutions. 2.4. Regularity of solutions. 2.5. Uniqueness of solutions. 2.6. Properties of the free boundary. 2.7. Other problems -- ch. 3. General quasilinear equations of second order. 3.1. Introduction. 3.2. Weakly degenerate equations in one dimension. 3.3. Weakly Degenerate equations in higher dimension. 3.4. Strongly degenerate equations in one dimension. 3.5. Degenerate equations in higher dimension without terms of lower order. 3.6. General strongly degenerate equations in higher dimension -- ch. 4. Nonlinear diffusion equations of higher order. 4.1. Introduction. 4.2. Similarity solutions of a fourth order equation. 4.3. Equations with double-degeneracy. 4.4. Cahn-Hilliard equation with constant mobility. 4.5. Cahn-Hilliard equations with positive concentration dependent mobility. 4.6. Thin film equation. 4.7. Cahn-Hilliard equation with degenerate mobility.
Record Nr. UNINA-9911091514203321
River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonlinear diffusion equations / / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Nonlinear diffusion equations / / Zhuoqun Wu, Junning Zhao and Jingxue Yin, Huilai Li
Edizione [1st ed.]
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (xvii, 502 p.)
Disciplina 515/.352
Altri autori (Persone) WuZhuoqun
Soggetto topico Burgers equation
Heat equation
ISBN 9786611951351
9781281951359
1281951358
9789812799791
9812799796
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ch. 1. Newtonian filtration equations. 1.1. Introduction. 1.2. Existence and uniqueness of solutions: One dimensional case. 1.3. Existence and uniqueness of solutions: Higher dimensional case. 1.4. Regularity of solutions: One Dimensional case. 1.5. Regularity of solutions: Higher dimensional case. 1.6. Properties of the free boundary: One dimensional case. 1.7. Properties of the free boundary: Higher dimensional case. 1.8. Initial trace of solutions. 1.9. Other problems -- ch. 2. Non-Newtonian filtration equations. 2.1. Introduction. Preliminary knowledge. 2.2. Existence of solutions. 2.3. Harnack inequality and the initial trace of solutions. 2.4. Regularity of solutions. 2.5. Uniqueness of solutions. 2.6. Properties of the free boundary. 2.7. Other problems -- ch. 3. General quasilinear equations of second order. 3.1. Introduction. 3.2. Weakly degenerate equations in one dimension. 3.3. Weakly Degenerate equations in higher dimension. 3.4. Strongly degenerate equations in one dimension. 3.5. Degenerate equations in higher dimension without terms of lower order. 3.6. General strongly degenerate equations in higher dimension -- ch. 4. Nonlinear diffusion equations of higher order. 4.1. Introduction. 4.2. Similarity solutions of a fourth order equation. 4.3. Equations with double-degeneracy. 4.4. Cahn-Hilliard equation with constant mobility. 4.5. Cahn-Hilliard equations with positive concentration dependent mobility. 4.6. Thin film equation. 4.7. Cahn-Hilliard equation with degenerate mobility.
Record Nr. UNINA-9911142914203321
River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type / Juan Luis Vazquez
Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type / Juan Luis Vazquez
Autore Vazquez, Juan Luis
Pubbl/distr/stampa Oxford ; New York : Oxford University Press, c2006
Descrizione fisica xiii, 234 p. : ill. ; 24 cm
Disciplina 515.355
Collana Oxford lecture series in mathematics and its applications ; 33
Soggetto topico Burgers equation
ISBN 0199202974
9780199202973
Classificazione AMS 35-02
AMS 35B40
AMS 35B65
AMS 35K57
LC QA377.V397
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000290479707536
Vazquez, Juan Luis  
Oxford ; New York : Oxford University Press, c2006
Materiale a stampa
Lo trovi qui: Univ. del Salento
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