Hypocoercivity.
Villani, CĂ©dric.
Hypocoercivity. - 1st ed. - 1 online resource (154 pages) - Memoirs of the American Mathematical Society ; v.202 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Abstract -- Introduction -- Part I. = * + -- 1. Notation -- 2. Operators = * + -- 3. Coercivity and hypocoercivity -- 4. Basic theorem -- 5. Generalization -- 6. Hypocoercivity in entropic sense -- 7. Application: The kinetic Fokker-Planck equation -- 8. The method of multipliers -- 9. Further applications and open problems -- Part II. The auxiliary operator method -- 10. Assumptions -- 11. Main theorem -- 12. Simplified theorem and applications -- 13. Discussion and open problems -- Part III. Fully nonlinear equations -- 14. Main abstract theorem -- 15. Proof of the main theorem -- 16. Compressible Navier-Stokes system -- 17. Weakly self-consistent Vlasov-Fokker-Planck equation -- 18. Boltzmann equation -- Appendices -- A.19. Some criteria for Poincaré inequalities -- A.20. Well-posedness for the Fokker-Planck equation -- A.21. Some methods for global hypoellipticity -- A.22. Local positivity estimates -- A.23. Toolbox -- Bibliography.
9781470405649
Differential equations, Partial -- Asymptotic theory.
Differential equations, Parabolic -- Asymptotic theory.
Fokker-Planck equation.
Transport theory.
Electronic books.
QA377 -- .V555 2009eb
515/.3533
Hypocoercivity. - 1st ed. - 1 online resource (154 pages) - Memoirs of the American Mathematical Society ; v.202 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Abstract -- Introduction -- Part I. = * + -- 1. Notation -- 2. Operators = * + -- 3. Coercivity and hypocoercivity -- 4. Basic theorem -- 5. Generalization -- 6. Hypocoercivity in entropic sense -- 7. Application: The kinetic Fokker-Planck equation -- 8. The method of multipliers -- 9. Further applications and open problems -- Part II. The auxiliary operator method -- 10. Assumptions -- 11. Main theorem -- 12. Simplified theorem and applications -- 13. Discussion and open problems -- Part III. Fully nonlinear equations -- 14. Main abstract theorem -- 15. Proof of the main theorem -- 16. Compressible Navier-Stokes system -- 17. Weakly self-consistent Vlasov-Fokker-Planck equation -- 18. Boltzmann equation -- Appendices -- A.19. Some criteria for Poincaré inequalities -- A.20. Well-posedness for the Fokker-Planck equation -- A.21. Some methods for global hypoellipticity -- A.22. Local positivity estimates -- A.23. Toolbox -- Bibliography.
9781470405649
Differential equations, Partial -- Asymptotic theory.
Differential equations, Parabolic -- Asymptotic theory.
Fokker-Planck equation.
Transport theory.
Electronic books.
QA377 -- .V555 2009eb
515/.3533