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1.

図書
図書
1. On Euler equations and statistical physics
Pierre-Louis Lions
出版情報: Pisa : Scuola Normale Superiore Pubblicazioni della Classe di Scienze, 1997  69 p. ; 25 cm
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2.

図書
図書
2. The mathematical theory of thermodynamic limits : Thomas-Fermi type models
Isabelle Catto, Claude Le Bris, Pierre-Louis Lions
出版情報: Oxford ; New York : Clarendon Press, 1998  xiii, 277 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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目次情報: 続きを見る
Preface
General Presentation / 1：
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2：
Convergence of the energy for the Thomas-Fermi-von-Weizsacker model / 3：
Convergence of the density for the Thomas-Fermi-von-Weizsacker model with Yukawa potential / 4：
Convergence of the density for the Thomas-Fermi-von-Weizsacker model / 5：
Convergence of the energy via the convergence of the density / 6：
Bibliography
Preface
General Presentation / 1：
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2：
3.

図書
図書
3. Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995
M. Bardi ... [et al.] ; editors, I. Capuzzo Dolcetta, P.L. Lions
出版情報: Berlin ; Heidelberg : Springer-Verlag, c1997  ix, 259 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1660 . Fondazione C.I.M.E., Firenze / adviser, Roberto Conti
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4.

図書
図書
4. Mathematical topics in fluid mechanics (v. 1 ; v. 2)
Pierre-Louis Lions
出版情報: Oxford : Clarendon Press, 1996-1998  2 v. ; 24 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 3, 10
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目次情報: 続きを見る
Compressible models / Part 2：
Compactness results for compressible isentropic Navier-Stokes equations / 5：
Stationary problems / 6：
Existence results for Cauchy problems / 7：
Related problems / 8：
A few facts about some function spaces / Appendix A：
On a weakly continuous product / Appendix B：
A remark on the limiting case for Sobolev inequalities / Appendix C：
Continua and limits Appendix E. On sums of Lp spaces / Appendix D：
A remark on parabolic equations / Appendix F：
Bibliography of Volumes 1 and 2 Erratum (Volume 1)
Index
Preface
Presentation of the models / 1：
Incompressible Models / Part 1：
Density-dependent Navier-Stokes equations / 2：
Navier-Stokes equations / 3：
Euler equations and other incompressible models / 4：
Truncation of divergence-free vectorfields
Two facts on D1,2(R2)
Compactness in time with values in weak topologies
Weak L1 estimates for solutions of the heat equation
A short proof of the existence of renormalized solutions for parabolic equations / Appendix E：
Intended Table of Contents of Volume 2
Compressible Models
Compactness results for compressible isentropic Navier-Stokes
Existence results
Related questions
Asymptotic limites / Part 3：
Asymptotic limits / 9：
Compressible models / Part 2：
Compactness results for compressible isentropic Navier-Stokes equations / 5：
Stationary problems / 6：
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