Riemann-invariant solutions of the isentropic fluid flow equations

被引：0

作者：

R. Conte

A. M. Grundland

B. Huard

机构：

[1] École Normale Supérieure de Cachan (CMLA) et CEA-DAM,LRC MESO

[2] CEA-Saclay,Service de Physique de l’État Condensé (URA 2464)

[3] Université de Montréal,Centre de Recherches Mathématiques

[4] Université du Québec,Département de Mathématiques et de Statistique

[5] Université de Montréal,undefined

来源：

Theoretical and Mathematical Physics | 2009年 / 159卷

关键词：

Riemann invariant; conditional symmetry method; rank-; solution; system of hydrodynamic type;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use a new version of the conditional symmetry method to obtain rank-k solutions expressed in terms of Riemann invariants of the isentropic compressible ideal fluid flow in 3+1 dimensions. We describe the procedure for constructing bounded solutions in terms of the elliptic Weierstrass p-function in detail.

引用

页码：752 / 762

页数：10

共 7 条

[1] RIEMANN-INVARIANT SOLUTIONS OF THE ISENTROPIC FLUID FLOW EQUATIONS
Conte, R.
Grundland, A. M.
Huard, B.
THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 159 (03) : 752 - 762
[2] Blowup of the solutions for the IBVP of the isentropic Euler equations with damping
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[3] Blowup of the axis-symmetric solutions for the IBVP of the isentropic Euler equations
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Tu, Aihua
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[4] Particular solutions and Riemann problem for modified shallow water equations
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[5] Existence of Global Solutions for Unsteady Isentropic Gas Flow in a Laval Nozzle
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Archive for Rational Mechanics and Analysis, 2012, 205 : 151 - 193
[6] Long Time Existence of Entropy Solutions to the One-Dimensional Non-isentropic Euler Equations with Periodic Initial Data
Peng Qu
Zhouping Xin
Archive for Rational Mechanics and Analysis, 2015, 216 : 221 - 259
[7] Global Attractivity of Solutions for Nonlinear Fractional Order Riemann-Liouville Volterra-Stieltjes Partial Integral Equations
Abbas, Said
Benchohra, Mouffak
Nieto, Juan J.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (81) : 1 - 15

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