TY  - BOOK
AU  - Villani,Cédric
TI  - Hypocoercivity
T2  - Memoirs of the American Mathematical Society
SN  - 9781470405649
AV  - QA377 -- .V555 2009eb 
U1  - 515/.3533 
PY  - 2009///
CY  - Providence
PB  - American Mathematical Society
KW  - Differential equations, Partial -- Asymptotic theory
KW  - Differential equations, Parabolic -- Asymptotic theory
KW  - Fokker-Planck equation
KW  - Transport theory
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114191
ER  -