Almost global existence of classical discontinuous solutions to genuinely nonlinear hyperbolic systems of conservation laws with small BV initial data

Global existence of solutions to nonlinear hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(76)90102-9 ◽

1976 ◽

Vol 20 (1) ◽

pp. 187-212 ◽

Cited By ~ 53

Author(s):

Ronald J DiPerna

Keyword(s):

Global Existence ◽

Conservation Laws ◽

Existence Of Solutions ◽

Hyperbolic Systems ◽

Global Existence Of Solutions ◽

Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: Shocks and contact discontinuities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.09.037 ◽

2012 ◽

Vol 387 (2) ◽

pp. 698-720 ◽

Cited By ~ 6

Author(s):

Zhi-Qiang Shao

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Contact Discontinuities ◽

Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: Rarefaction waves

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.07.060 ◽

2014 ◽

Vol 409 (2) ◽

pp. 1066-1083 ◽

Cited By ~ 3

Author(s):

Zhi-Qiang Shao

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Rarefaction Waves ◽

Discontinuous Solutions ◽

Global weakly discontinuous solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind of non-smooth initial data

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-007-5096-0 ◽

2007 ◽

Vol 59 (6) ◽

pp. 935-968 ◽

Cited By ~ 1

Author(s):

Zhi-Qiang Shao ◽

Ya-Chun Li ◽

De-Xing Kong

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Smooth Initial Data ◽

Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Cited By ~ 8

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

Lecture Notes in Mathematics - Evolutionary Equations with Applications in Natural Sciences ◽

Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications

10.1007/978-3-319-11322-7_9 ◽

2014 ◽

pp. 439-493 ◽

Cited By ~ 1

Author(s):

Mapundi Kondwani Banda

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005029 ◽

2005 ◽

Vol 39 (4) ◽

pp. 649-692 ◽

Cited By ~ 27

Author(s):

Edwige Godlewski ◽

Kim-Claire Le Thanh ◽

Pierre-Arnaud Raviart

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Interface Coupling ◽

On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30267-0 ◽

1991 ◽

Vol 8 (3-4) ◽

pp. 333-350 ◽

Cited By ~ 5

Author(s):

Michel Rascle

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Dynamic Study ◽

Global classical discontinuous solutions to a class of generalized riemann problem for general quasilinear hyperbolic systems of conservation laws

Communications in Partial Differential Equations ◽

10.1080/03605309908821447 ◽

1999 ◽

Vol 24 (5-6) ◽

pp. 407-437 ◽

Cited By ~ 1

Author(s):

Li Ta-Tsient ◽

Kong De-Xing

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Generalized Riemann Problem ◽

Cauchy-Kovalevsky theorems for hyperbolic systems of conservation laws with piecewise analytic initial data

Contemporary Mathematics - Nonstrictly hperbolic conservation laws ◽

10.1090/conm/060/873530 ◽

1987 ◽

pp. 43-50

Author(s):

Eduard Harabetian

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Systems ◽