TY  - BOOK
AU  - Villani,C�edric
TI  - Hypocoercivity
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470405649 (online)
AV  - QA377 .V53 2009
U1  - 515/.3533 22
PY  - 2009///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Differential equations, Partial
KW  - Asymptotic theory
KW  - Differential equations, Parabolic
KW  - Fokker-Planck equation
KW  - Transport theory
N1  - "Volume 202, number 950 (fourth of 5 numbers)."; Includes bibliographical references; 1. Notation; 2. Operators $L = A^*A + B$; 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; 10. Assumptions; 11. Main theorem; 12. Simplified theorem and applications; 13. Discussion and open problems; 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; A.19. Some criteria for Poincar�e 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0950
UR  - http://dx.doi.org/10.1090/S0065-9266-09-00567-5
ER  -