| Description |
1 online resource (654 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Studies in mathematics and its applications, 0168-2024 ; v. 31 |
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Studies in mathematics and its applications ; v. 31. 0168-2024
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| Summary |
This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields. |
| Bibliography |
Includes bibliographical references. |
| Language |
Text in English and French. |
| Contents |
Chapter 1. An introduction to critical points for integral functionals -- Chapter 2. A semigroup formulation for electromagnetic waves in dispersive dielectric media -- Chapter 3. Limite non visqueuse pour les fluides incompressibles axisymétriques -- Chapter 4. Global properties of some nonlinear parabolic equations -- Chapter 5. A model for two coupled turbulent flows -- Chapter 6. Determination de conditions aux limites en mer ouverte par une methode de controle optimal -- Chapter 7. Effective diffusion in vanishing viscosity -- Chapter 8. Vibration of a thin plate with a "rough" surface -- Chapter 9. Anisotropy and dispersion in rotating fluids -- Chapter 10. Integral equations and saddle point formulation for scattering problems -- Chapter 11. Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids -- Chapter 12. Homogenization of dirichlet minimum problems with conductor type periodically distributed constraints -- Chapter 13. Transport of trapped particles in a surface potential -- Chapter 14. Diffusive energy balance models in climatology -- Chapter 15. Uniqueness and stability in the cauchy problem for maxwell and elasticity systems -- Chapter 16. On the unstable spectrum of the euler equation -- Chapter 17. Decomposition en profils des solutions de l'equation des ondes semi lineaire critique a l'exterieur d'un obstacle strictement convexe -- Chapter 18. Upwind descretizations of a steady grade-two fluid model in two dimensions -- Chapter 19. Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings -- Chapter 20. Remarques sur la limite [alpha]-->0 pour les fluides de grade 2 -- Chapter 21. Remarks on the kompaneets equation, a simplified model of the fokker-planck equation -- Chapter 22. Singular perturbations without limits in the energy space. Convergence and computation of the associated layers -- Chapter 23. Optimal design of gradient fields with applications to electrostatics -- Chapter 24. A blackbox reduced-basis output bound method for noncoercive linear problems -- Chapter 25. Simulation of flow in a glass tank -- Chapter 26. Control localized on thin structures for semilinear parabolic equations -- Chapter 27. Stabilite des ondes de choc de viscosite qui peuvent etre caracteristiques. |
| Note |
Print version record. |
| Subject |
Differential equations, Partial.
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Differential equations, Nonlinear.
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Équations aux dérivées partielles.
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Équations différentielles non linéaires.
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MATHEMATICS -- Differential Equations -- Partial.
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Differential equations, Nonlinear
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Differential equations, Partial
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| Added Author |
Cioranescu, D. (Doïna)
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Lions, J.-L. (Jacques-Louis), 1928-2001.
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Collège de France.
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| Other Form: |
Print version: Nonlinear partial differential equations and their applications. Amsterdam ; London : Elsevier, 2002 0444511032 9780444511034 (OCoLC)49785171 |
| ISBN |
9780444511034 |
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0444511032 |
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9780080537672 (electronic bk.) |
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0080537677 (electronic bk.) |
| Standard No. |
9780444511034 |
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AU@ 000048129907 |
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AU@ 000062577586 |
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CHNEW 001006585 |
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DEBBG BV036962327 |
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DEBBG BV039830195 |
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DEBBG BV042317334 |
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DEBSZ 276902319 |
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DEBSZ 482355344 |
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NZ1 12433560 |
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NZ1 15192887 |
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DKDLA 820120-katalog:9910110331805765 |
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