Solutions for a two-dimensional hyperbolic-elliptic coupled systems

被引：4

作者：

Ganser, G

Hu, XP

Li, DN

机构：

[1] Department of Mathematics, West Virginia University, Morgantown

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1996年 / 27卷 / 04期

关键词：

two-dimensional hyperbolic-elliptic coupled system; fluidized bed;

D O I：

10.1137/S0036141094264657

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a two-dimensional hyperbolic-elliptic coupled system arising from the study of a gas fluidized bed model. The well-posedness of an initial-boundary value problem is discussed and the short-time existence of classical solutions is obtained.

引用

页码：1024 / 1037

页数：14

共 8 条

[1] EXISTENCE OF RAREFACTION WAVES FOR MULTI-DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS [J].

ALINHAC, S .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (02) :173-230

[2]

[Anonymous], COMPRESSIBLE FLUID F

[3]

DAVIDSON AJF, 1985, FLUIDIZATION

[4] MATHEMATICAL-MODELING OF 2-PHASE FLOW [J].

DREW, DA .

ANNUAL REVIEW OF FLUID MECHANICS, 1983, 15 :261-291

[5] OSCILLATORY TRAVELING WAVES IN A HYPERBOLIC MODEL OF A FLUIDIZED-BED [J].

GANSER, GH ;

LIGHTBOURNE, JH .

CHEMICAL ENGINEERING SCIENCE, 1991, 46 (5-6) :1339-1347

[6]

Gilbarg D, 1977, ELLIPTIC PARTIAL DIF

[7] RAREFACTION AND SHOCK-WAVES FOR MULTIDIMENSIONAL HYPERBOLIC CONSERVATION-LAWS [J].

LI, DN .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (2-3) :425-450

[8] SYMMETRIC POSITIVE SYSTEMS WITH BOUNDARY CHARACTERISTIC OF CONSTANT MULTIPLICITY [J].

RAUCH, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 291 (01) :167-187

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