Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3163 ◽

2014 ◽

Vol 38 (8) ◽

pp. 1494-1505 ◽

Author(s):

Yanbo Hu ◽

Wancheng Sheng

Keyword(s):

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

Independent Variables ◽

Simple Waves ◽

Two Independent Variables

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Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables

Annales Polonici Mathematici ◽

10.4064/ap-49-3-259-278 ◽

1989 ◽

Vol 49 (3) ◽

pp. 259-278 ◽

Author(s):

Jan Turo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Partial Differential ◽

Quasilinear Hyperbolic Systems ◽

Independent Variables ◽

Mixed Problems ◽

Two Independent Variables

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Simple waves in quasilinear hyperbolic systems. I. Theory of simple waves and simple states. Examples of applications

Journal of Mathematical Physics ◽

10.1063/1.525979 ◽

1983 ◽

Vol 24 (9) ◽

pp. 2305-2314 ◽

Author(s):

Alfred M. Grundland ◽

Roman Żelazny

Keyword(s):

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

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Bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.04.036 ◽

2005 ◽

Vol 49 (2-3) ◽

pp. 335-364 ◽

Author(s):

Tariel Kiguradze ◽

Takaŝi Kusano

Keyword(s):

Hyperbolic Systems ◽

Independent Variables ◽

Two Independent Variables ◽

Nonlinear Hyperbolic Systems

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Some existence theorems for hyperbolic systems of partial differential equations in two independent variables

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160050202 ◽

1952 ◽

Vol 5 (2) ◽

pp. 119-154 ◽

Author(s):

Avron Douglis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Existence Theorems ◽

Hyperbolic Systems ◽

Partial Differential ◽

Independent Variables ◽

Two Independent Variables

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The development of jump discontinuities in nonlinear hyperbolic systems of equations in two independent variables

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00250691 ◽

1963 ◽

Vol 14 (1) ◽

pp. 27-37 ◽

Author(s):

A. Jeffrey

Keyword(s):

Hyperbolic Systems ◽

Systems Of Equations ◽

Independent Variables ◽

Hyperbolic Systems Of Equations ◽

Jump Discontinuities ◽

Two Independent Variables ◽

Nonlinear Hyperbolic Systems

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On stability of solutions to the Cauchy problem for hyperbolic systems in two independent variables

Siberian Mathematical Journal ◽

10.1007/bf02674122 ◽

1998 ◽

Vol 39 (6) ◽

pp. 1112-1114 ◽

Author(s):

E. V. Vorob'ëva ◽

R. K. Romanovskiî

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

Stability Of Solutions ◽

Independent Variables ◽

The Cauchy Problem ◽

Two Independent Variables

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Estimates of solutions of hyperbolic systems of differential equations in two independent variables

Annales Polonici Mathematici ◽

10.4064/ap-12-2-191-197 ◽

1962 ◽

Vol 12 (2) ◽

pp. 191-197 ◽

Author(s):

W. Mlak

Keyword(s):

Differential Equations ◽

Hyperbolic Systems ◽

Independent Variables ◽

Estimates Of Solutions ◽

Systems Of Differential Equations ◽

Two Independent Variables

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Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables

Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies ◽

10.1007/978-3-662-06707-9_1 ◽

1988 ◽

pp. 2-170

Author(s):

Zhu You-lan ◽

Chen Bing-mu ◽

Zhong Xi-chang ◽

Zhang Zuo-min

Keyword(s):

Numerical Methods ◽

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Initial Boundary Value ◽

Two Independent Variables

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Existence and uniqueness of solutions to initial-boundary value problems for semilinear hyperbolic systems in two independent variables

Journal of Differential Equations ◽

10.1016/0022-0396(76)90005-x ◽

1976 ◽

Vol 22 (1) ◽

pp. 74-88 ◽

Author(s):

Thomas J Langan

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Hyperbolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Uniqueness Of Solutions ◽

Independent Variables ◽

Initial Boundary Value ◽

Semilinear Hyperbolic Systems ◽

Two Independent Variables

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Mathematical Theory of Optimal Control for Semilinear Hyperbolic Systems in Two Independent Variables

SIAM Journal on Control ◽

10.1137/0305008 ◽

1967 ◽

Vol 5 (1) ◽

pp. 138-152 ◽

Author(s):

Wayne Schmaedeke

Keyword(s):

Optimal Control ◽

Mathematical Theory ◽

Hyperbolic Systems ◽

Independent Variables ◽

Theory Of Optimal Control ◽

Semilinear Hyperbolic Systems ◽

Two Independent Variables

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