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Villani, C�edric, 1973-

Hypocoercivity / [electronic resource] C�edric Villani. - Providence, R.I. : American Mathematical Society, 2009. - 1 online resource (v, 141 p.) - Memoirs of the American Mathematical Society, v. 950 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 950. .

"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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470405649 (online)

Subjects--Topical Terms:
Differential equations, Partial--Asymptotic theory.
Differential equations, Parabolic--Asymptotic theory.
Fokker-Planck equation.
Transport theory.

LC Class. No.: QA377 / .V53 2009

Dewey Class. No.: 515/.3533