Handbook of Mathematical Fluid Dynamics
S. Friedlander, D. Serre
Elsevier, Jul 9, 2002 - Science - 856 pages
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
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Viscous andor heat conducting compressible fluids
Dynamic flows with liquidvapor phase transitions
The Cauchy problem for the Euler equations for compressible fluids
Stability of strong discontinuities in fluids and MHD
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Anal approximation assume assumption asymptotic Blokhin Boltzmann equation boundary conditions bounded Cauchy problem Cercignani characteristic field collision kernel collision operator Comm compactness compressible conservation laws constant convergence convex denote density Desvillettes domain energy entropy dissipation entropy solutions Euler equations existence finite flow fluid Fokker–Planck gas dynamics Glimm global grad hyperbolic systems inequality initial data integral interaction kinetic theory Lemma limit Math mathematical Maxwellian method molecules Navier–Stokes equations nonlinear obtain Partial Differential Equations particles perturbations Phys physical priori estimates proof properties prove Pure Appl Rational Mech REMARK renormalized renormalized solutions Riemann problem satisfies Section shock waves singularity smooth solutions Sobolev Sobolev inequalities Sobolev space space spatially homogeneous Boltzmann strong discontinuity symmetric systems of conservation Theorem trend to equilibrium uniqueness variables vector velocity viscous weak solutions zero