Systems of partial differential equations of mixed hyperbolic–parabolic type

We prove the global existence and uniqueness of solutions of certain mixed hyperbolic–parabolic systems of partial differential equations in one space dimension with initial data that is assumed to be pointwise bounded with possibly large oscillation and with small total energy. The systems we consi...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Journal of Differential Equations Ročník 204; číslo 1; s. 163 - 201
Hlavní autoři: Tsyganov, Eugene, Hoff, David
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 10.09.2004
Témata:
Compressible magnetohydrodynamics
Compressible Navier–Stokes equations
Systems of mixed hyperbolic–parabolic type
35A05
Compressible magnetohydrodynamics
Compressible Navier–Stokes equations
35M10
76W05
76N10
Systems of mixed hyperbolic–parabolic type
ISSN:0022-0396, 1090-2732
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:We prove the global existence and uniqueness of solutions of certain mixed hyperbolic–parabolic systems of partial differential equations in one space dimension with initial data that is assumed to be pointwise bounded with possibly large oscillation and with small total energy. The systems we consider are general enough to include the Navier–Stokes equations of compressible flow, the equations of compressible MHD, models of chemical combustion, and others. In particular, the application of our results to the MHD system gives an existence result which is new.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2004.03.010