From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics /
[Book]
Diogo Arsénio, Laure Saint-Raymond.
Zürich :
European Mathematical Society,
[2019]
xii, 406 pages :
illustrations ;
24 cm.
EMS monographs in mathematics
Includes bibliographical references (pages 399-402) and index.
I Formal derivations and macroscopic weak stability -- The Vlasov-Maxwell-Boltzmann system -- Scalings and formal limits -- Weak stability of the limiting macroscopic systems -- II Conditional convergence results -- Two typical regimes -- Weak compactness and relaxation estimates -- Lower-order linear constraint equations and energy inequalities -- Strong compactness and hypoellipticity -- Higher-order and nonlinear constraint equations -- Approximate macroscopic equations -- Acoustic and electromagnetic waves -- Grad's moment method -- The renormalized relative entropy method.
0
Boundary value problems.
Differential equations, Hyperbolic.
Fluid dynamics.
Fluid mechanics.
Maxwell-Boltzmann distribution law.
Navier-Stokes equations.
Viscous flow.
Boundary value problems.
Differential equations, Hyperbolic.
Fluid dynamics.
Fluid mechanics.
Maxwell-Boltzmann distribution law.
Navier-Stokes equations.
Viscous flow.
532
.
0533
23
QA929
.
A77
2019
Arsénio, Diogo
Saint-Raymond, Laure
European Mathematical Society,organisme de publication.