Info
Lectures on nonlinear evolution equations : initial value problems / Reinhard Racke
| Lectures on nonlinear evolution equations : initial value problems / Reinhard Racke |
| Autore | Racke, Reinhard |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 306 p. : ill. ; 24 cm |
| Soggetto topico |
35K05 - Heat equation [MSC 2020]
35L70 - Second-order hyperbolic equations [MSC 2020] 35L05 - Wave equation [MSC 2020] 35K55 - Nonlinear parabolic equations [MSC 2020] 35Qxx - Partial differential equations of mathematical physics and other areas of application [MSC 2020] 74F05 - Thermal effects in solid mechanics [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35L45 - Initial value problems for first-order hyperbolic systems [MSC 2020] 35Q74 - PDEs in connection with mechanics of deformable solids [MSC 2020] |
| Soggetto non controllato |
Cauchy problem
Heat equation plate equation Klein-Gordon Equation Partial differential equations Schrödinger equations Thermoelasticity Wave equations Waveguides |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113701 |
Racke, Reinhard
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| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Lectures on Nonlinear Evolution Equations : Initial Value Problems / Reinhard Racke
| Lectures on Nonlinear Evolution Equations : Initial Value Problems / Reinhard Racke |
| Autore | Racke, Reinhard |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 306 p. : ill. ; 24 cm |
| Soggetto topico |
35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020]
35K05 - Heat equation [MSC 2020] 35K55 - Nonlinear parabolic equations [MSC 2020] 35L05 - Wave equation [MSC 2020] 35L45 - Initial value problems for first-order hyperbolic systems [MSC 2020] 35L70 - Second-order hyperbolic equations [MSC 2020] 35Q74 - PDEs in connection with mechanics of deformable solids [MSC 2020] 35Qxx - Partial differential equations of mathematical physics and other areas of application [MSC 2020] 74F05 - Thermal effects in solid mechanics [MSC 2020] |
| Soggetto non controllato |
Cauchy Problem
Heat equation plate equation Klein-Gordon Equation Partial differential equations Schrödinger equations Thermoelasticity Wave equations Waveguides |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113701 |
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Racke, Reinhard
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| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Potential Method in Mathematical Theories of Multi-Porosity Media / Merab Svanadze
| Potential Method in Mathematical Theories of Multi-Porosity Media / Merab Svanadze |
| Autore | Svanadze, Merab |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | xvi, 302 p. ; 24 cm |
| Soggetto topico |
74Gxx - Equilibrium (steady-state) problems in solid mechanics [MSC 2020]
74H45 - Vibrations in dynamical problems in solid mechanics [MSC 2020] 35Exx - Partial differential equations and systems of partial differential equations with constant coefficients [MSC 2020] 74Fxx - Coupling of solid mechanics with other effects [MSC 2020] 74M25 - Micromechanics of solids [MSC 2020] |
| Soggetto non controllato |
Boundary Value Problems
Elasticity Galerkin-type solutions Laplace transform Mathematics and Solid Mechanics Multi-Porosity Media Partial differential equations Porosity materials Porosity math Potential Method Potential method book Potential method elasticity Quadruple porosity materials Singular integral equation Thermoelastic stress analysis Thermoelasticity |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0127121 |
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Svanadze, Merab
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Potential Method in Mathematical Theories of Multi-Porosity Media / Merab Svanadze
| Potential Method in Mathematical Theories of Multi-Porosity Media / Merab Svanadze |
| Autore | Svanadze, Merab |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | xvi, 302 p. ; 24 cm |
| Soggetto topico |
35Exx - Partial differential equations and systems of partial differential equations with constant coefficients [MSC 2020]
74Fxx - Coupling of solid mechanics with other effects [MSC 2020] 74Gxx - Equilibrium (steady-state) problems in solid mechanics [MSC 2020] 74H45 - Vibrations in dynamical problems in solid mechanics [MSC 2020] 74M25 - Micromechanics of solids [MSC 2020] |
| Soggetto non controllato |
Boundary Value Problems
Elasticity Galerkin-type solutions Laplace transforms Mathematics and Solid Mechanics Multi-Porosity Media Partial differential equations Porosity materials Porosity math Potential Method Potential method elasticity Quadruple porosity materials Singular integral equations Thermoelastic stress analysis Thermoelasticity |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00127121 |
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Svanadze, Merab
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Thermoelasticity : basic theory and applications / A.D. Kovalenko ; translated from the russian by D.B. Macvean, with an appendix on Thermoelastic Stability by J.B. Alblas
| Thermoelasticity : basic theory and applications / A.D. Kovalenko ; translated from the russian by D.B. Macvean, with an appendix on Thermoelastic Stability by J.B. Alblas |
| Autore | Kovalenko, A. D. |
| Pubbl/distr/stampa | Groningen : Wolters-Noordhoff Publishi ng, 1969 |
| Descrizione fisica | 251 p. ; 23 cm |
| Disciplina | 531 |
| Soggetto non controllato | Thermoelasticity |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000828510403321 |
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Kovalenko, A. D.
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| Groningen : Wolters-Noordhoff Publishi ng, 1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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