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Emerging topics on differential equations and their applications [[electronic resource] ] : proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, Nankai University, China, 5-9 December 2011 / / edited by Hua Chen, Yiming Long, Yasumasa Nishiura
| Emerging topics on differential equations and their applications [[electronic resource] ] : proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, Nankai University, China, 5-9 December 2011 / / edited by Hua Chen, Yiming Long, Yasumasa Nishiura |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (319 p.) |
| Disciplina | 515.353 |
| Altri autori (Persone) |
ChenHua
LongYiming NishiuraYasumasa |
| Collana | Nankai series in pure, applied mathematics and theoretical phyics |
| Soggetto topico | Differential equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-299-46279-0
981-4449-75-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; A Spectral Theory of Linear Operators on Rigged Hilbert Spaces under Certain Analyticity Conditions H. Chiba; 1. Introduction; 2. A review of the spectral theory on rigged Hilbert spaces; References; Conditional Fredholm Determinant and Trace Formula for Hamiltonian Systems: a Survey X.-J. Hu and P.-H. Wang; 1. Introduction; 2. Hill Formula for S-periodic Hamiltonian systems; 2.1. Trace finite condition and conditional Fredholm determinant; 2.2. Hill formula and its application; 3. Trace formula in Hamiltonian systems; Acknowledgement; References
Initial Value Problem for Water Waves and Shallow Water and Long Wave Approximations T. Iguchi 1. Introduction; 2. Initial Value Problem; 3. Shallow Water Approximations; 3.1. Shallow water equations; 3.2. Tsunami generation; 3.3. Green-Naghdi equations; 4. Long Wave Approximations; 4.1. KdV equation; 4.2. Kawahara equation; 4.3. Forced KdV equation; 4.4. Benjamin-Ono equation; References; On the Existence and Nonexistence of Maximizers Associated with Trudinger-Moser Type Inequalities in Unbounded Domains M. Ishiwata; 1. Introduction and main results; 2. Proof of Theorem 1.1 3. Proof of Theorem 1.24. Proof of Theorem 1.3; References; Computer-assisted Uniqueness Proof for Stokes' Wave of Extreme Form K. Kobayashi; 1. Introduction; 2. The idea behind the proof of uniqueness; 3. Numerical results; 4. Conclusion; Funding; Acknowledgements; References; From the Boltzmann H-theorem to Perelman's W-entropy formula for the Ricci flow X.-D. Li; 1. Introduction; 2. History and Boltzmann entropy formula; 2.1. Thermodynamic entropy; 2.2. Boltzmann equation and H-theorem; 2.3. Boltzmann entropy formula; 2.4. Shannon and Nash entropy 2.5. The maximum entropy principle and the central limit theorem 2.6. Canonical ensemble and Boltzmann's entropy formula; 3. Perelman's interpretation of the W-entropy for Ricci flow; 4. A probabilistic interpretation of the W-entropy for Ricci flow; 5. Comparison between Boltzmann's H-theorem and Perelman's entropy formula; 6. An open problem: the "density of states" measure for the Ricci flow; Acknowledgement; References; The Spreading of a New Species with Free Boundaries X. Liu and B. Lou; 1. Introduction; 2. Convergence Results; 2.1. Dichotomy and trichotomy; 2.2. Key lemmas of the proof 3. Asymptotic spreading speed References; Recent Progress on Observability for Stochastic Partial Differential Equations Q. Lu and Z.-Q. Yin; 1. Introduction; 2. Observability estimate for stochastic parabolic equation; 3. Observability estimate for stochastic hyperbolic equations; 4. Observability estimate for stochastic Schrodinger equations; 5. Some open problems; Acknowledgement; References; The Nonlinear "Hot Spots" Conjecture in Balls of S2 and H2 Y. Miyamoto; 1. Introduction and Main results; 2. Preliminaries; 3. Proofs; 3.1. Proofs of Theorems 1.1 (i) and 1.2 (i) 3.2. Proofs of Theorems 1.1 (ii) and 1.2 (ii) |
| Record Nr. | UNINA-9910452371103321 |
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Emerging topics on differential equations and their applications [[electronic resource] ] : proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, Nankai University, China, 5-9 December 2011 / / edited by Hua Chen, Yiming Long, Yasumasa Nishiura
| Emerging topics on differential equations and their applications [[electronic resource] ] : proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, Nankai University, China, 5-9 December 2011 / / edited by Hua Chen, Yiming Long, Yasumasa Nishiura |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (319 p.) |
| Disciplina | 515.353 |
| Altri autori (Persone) |
ChenHua
LongYiming NishiuraYasumasa |
| Collana | Nankai series in pure, applied mathematics and theoretical phyics |
| Soggetto topico | Differential equations |
| ISBN |
1-299-46279-0
981-4449-75-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; A Spectral Theory of Linear Operators on Rigged Hilbert Spaces under Certain Analyticity Conditions H. Chiba; 1. Introduction; 2. A review of the spectral theory on rigged Hilbert spaces; References; Conditional Fredholm Determinant and Trace Formula for Hamiltonian Systems: a Survey X.-J. Hu and P.-H. Wang; 1. Introduction; 2. Hill Formula for S-periodic Hamiltonian systems; 2.1. Trace finite condition and conditional Fredholm determinant; 2.2. Hill formula and its application; 3. Trace formula in Hamiltonian systems; Acknowledgement; References
Initial Value Problem for Water Waves and Shallow Water and Long Wave Approximations T. Iguchi 1. Introduction; 2. Initial Value Problem; 3. Shallow Water Approximations; 3.1. Shallow water equations; 3.2. Tsunami generation; 3.3. Green-Naghdi equations; 4. Long Wave Approximations; 4.1. KdV equation; 4.2. Kawahara equation; 4.3. Forced KdV equation; 4.4. Benjamin-Ono equation; References; On the Existence and Nonexistence of Maximizers Associated with Trudinger-Moser Type Inequalities in Unbounded Domains M. Ishiwata; 1. Introduction and main results; 2. Proof of Theorem 1.1 3. Proof of Theorem 1.24. Proof of Theorem 1.3; References; Computer-assisted Uniqueness Proof for Stokes' Wave of Extreme Form K. Kobayashi; 1. Introduction; 2. The idea behind the proof of uniqueness; 3. Numerical results; 4. Conclusion; Funding; Acknowledgements; References; From the Boltzmann H-theorem to Perelman's W-entropy formula for the Ricci flow X.-D. Li; 1. Introduction; 2. History and Boltzmann entropy formula; 2.1. Thermodynamic entropy; 2.2. Boltzmann equation and H-theorem; 2.3. Boltzmann entropy formula; 2.4. Shannon and Nash entropy 2.5. The maximum entropy principle and the central limit theorem 2.6. Canonical ensemble and Boltzmann's entropy formula; 3. Perelman's interpretation of the W-entropy for Ricci flow; 4. A probabilistic interpretation of the W-entropy for Ricci flow; 5. Comparison between Boltzmann's H-theorem and Perelman's entropy formula; 6. An open problem: the "density of states" measure for the Ricci flow; Acknowledgement; References; The Spreading of a New Species with Free Boundaries X. Liu and B. Lou; 1. Introduction; 2. Convergence Results; 2.1. Dichotomy and trichotomy; 2.2. Key lemmas of the proof 3. Asymptotic spreading speed References; Recent Progress on Observability for Stochastic Partial Differential Equations Q. Lu and Z.-Q. Yin; 1. Introduction; 2. Observability estimate for stochastic parabolic equation; 3. Observability estimate for stochastic hyperbolic equations; 4. Observability estimate for stochastic Schrodinger equations; 5. Some open problems; Acknowledgement; References; The Nonlinear "Hot Spots" Conjecture in Balls of S2 and H2 Y. Miyamoto; 1. Introduction and Main results; 2. Preliminaries; 3. Proofs; 3.1. Proofs of Theorems 1.1 (i) and 1.2 (i) 3.2. Proofs of Theorems 1.1 (ii) and 1.2 (ii) |
| Record Nr. | UNINA-9910779564103321 |
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Emerging topics on differential equations and their applications [[electronic resource] ] : proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, Nankai University, China, 5-9 December 2011 / / edited by Hua Chen, Yiming Long, Yasumasa Nishiura
| Emerging topics on differential equations and their applications [[electronic resource] ] : proceedings on Sino-Japan Conference of Young Mathematicians on Emerging Topics on Differential Equations and their Applications, Nankai University, China, 5-9 December 2011 / / edited by Hua Chen, Yiming Long, Yasumasa Nishiura |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (319 p.) |
| Disciplina | 515.353 |
| Altri autori (Persone) |
ChenHua
LongYiming NishiuraYasumasa |
| Collana | Nankai series in pure, applied mathematics and theoretical phyics |
| Soggetto topico | Differential equations |
| ISBN |
1-299-46279-0
981-4449-75-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; A Spectral Theory of Linear Operators on Rigged Hilbert Spaces under Certain Analyticity Conditions H. Chiba; 1. Introduction; 2. A review of the spectral theory on rigged Hilbert spaces; References; Conditional Fredholm Determinant and Trace Formula for Hamiltonian Systems: a Survey X.-J. Hu and P.-H. Wang; 1. Introduction; 2. Hill Formula for S-periodic Hamiltonian systems; 2.1. Trace finite condition and conditional Fredholm determinant; 2.2. Hill formula and its application; 3. Trace formula in Hamiltonian systems; Acknowledgement; References
Initial Value Problem for Water Waves and Shallow Water and Long Wave Approximations T. Iguchi 1. Introduction; 2. Initial Value Problem; 3. Shallow Water Approximations; 3.1. Shallow water equations; 3.2. Tsunami generation; 3.3. Green-Naghdi equations; 4. Long Wave Approximations; 4.1. KdV equation; 4.2. Kawahara equation; 4.3. Forced KdV equation; 4.4. Benjamin-Ono equation; References; On the Existence and Nonexistence of Maximizers Associated with Trudinger-Moser Type Inequalities in Unbounded Domains M. Ishiwata; 1. Introduction and main results; 2. Proof of Theorem 1.1 3. Proof of Theorem 1.24. Proof of Theorem 1.3; References; Computer-assisted Uniqueness Proof for Stokes' Wave of Extreme Form K. Kobayashi; 1. Introduction; 2. The idea behind the proof of uniqueness; 3. Numerical results; 4. Conclusion; Funding; Acknowledgements; References; From the Boltzmann H-theorem to Perelman's W-entropy formula for the Ricci flow X.-D. Li; 1. Introduction; 2. History and Boltzmann entropy formula; 2.1. Thermodynamic entropy; 2.2. Boltzmann equation and H-theorem; 2.3. Boltzmann entropy formula; 2.4. Shannon and Nash entropy 2.5. The maximum entropy principle and the central limit theorem 2.6. Canonical ensemble and Boltzmann's entropy formula; 3. Perelman's interpretation of the W-entropy for Ricci flow; 4. A probabilistic interpretation of the W-entropy for Ricci flow; 5. Comparison between Boltzmann's H-theorem and Perelman's entropy formula; 6. An open problem: the "density of states" measure for the Ricci flow; Acknowledgement; References; The Spreading of a New Species with Free Boundaries X. Liu and B. Lou; 1. Introduction; 2. Convergence Results; 2.1. Dichotomy and trichotomy; 2.2. Key lemmas of the proof 3. Asymptotic spreading speed References; Recent Progress on Observability for Stochastic Partial Differential Equations Q. Lu and Z.-Q. Yin; 1. Introduction; 2. Observability estimate for stochastic parabolic equation; 3. Observability estimate for stochastic hyperbolic equations; 4. Observability estimate for stochastic Schrodinger equations; 5. Some open problems; Acknowledgement; References; The Nonlinear "Hot Spots" Conjecture in Balls of S2 and H2 Y. Miyamoto; 1. Introduction and Main results; 2. Preliminaries; 3. Proofs; 3.1. Proofs of Theorems 1.1 (i) and 1.2 (i) 3.2. Proofs of Theorems 1.1 (ii) and 1.2 (ii) |
| Record Nr. | UNINA-9910815368803321 |
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical Challenges in a New Phase of Materials Science [[electronic resource] ] : Kyoto, Japan, August 2014 / / edited by Yasumasa Nishiura, Motoko Kotani
| Mathematical Challenges in a New Phase of Materials Science [[electronic resource] ] : Kyoto, Japan, August 2014 / / edited by Yasumasa Nishiura, Motoko Kotani |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (VII, 157 p. 39 illus., 21 illus. in color.) |
| Disciplina | 620.110151 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Partial differential equations
Physics Dynamics Ergodic theory Convex geometry Discrete geometry Partial Differential Equations Mathematical Methods in Physics Dynamical Systems and Ergodic Theory Convex and Discrete Geometry |
| ISBN | 4-431-56104-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910254063103321 |
| Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||