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Hypocoercivity.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2009Copyright date: ©2009Edition: 1st edDescription: 1 online resource (154 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470405649
Subject(s): Genre/Form: Additional physical formats: Print version:: HypocoercivityDDC classification:
  • 515/.3533
LOC classification:
  • QA377 -- .V555 2009eb
Online resources:
Contents:
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.
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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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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