Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws

The IMA Volumes in Mathematics and Its Applications - Oscillation Theory, Computation, and Methods of Compensated Compactness ◽

10.1007/978-1-4613-8689-6_6 ◽

1986 ◽

pp. 115-165 ◽

Cited By ~ 13

Author(s):

Andrew Majda

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Geometric Optics ◽

Systems Of Conservation Laws ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws

Communications in Partial Differential Equations ◽

10.1080/03605302.2013.828229 ◽

2013 ◽

Vol 38 (11) ◽

pp. 1936-1970 ◽

Cited By ~ 3

Author(s):

Gui-Qiang Chen ◽

Wei Xiang ◽

Yongqian Zhang

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Geometric Optics ◽

Weakly Nonlinear ◽

Systems Of Conservation Laws ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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Regularized Conservation Laws and Nonlinear Geometric Optics

Monatshefte für Mathematik ◽

10.1007/s006050050022 ◽

1999 ◽

Vol 127 (1) ◽

pp. 55-66 ◽

Cited By ~ 2

Author(s):

M. Oberguggenberger ◽

Y. G. Wang

Keyword(s):

Conservation Laws ◽

Geometric Optics ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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Resonant Nonlinear Geometric Optics for Weak Solutions of Conservation Laws

Journal of Differential Equations ◽

10.1006/jdeq.1994.1133 ◽

1994 ◽

Vol 113 (2) ◽

pp. 473-504 ◽

Cited By ~ 28

Author(s):

S. Schochet

Keyword(s):

Conservation Laws ◽

Weak Solutions ◽

Geometric Optics ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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Weakly non-linear geometric optics for hyperbolic systems of conservation laws with shock waves

Asymptotic Analysis ◽

10.3233/asy-1995-10202 ◽

1995 ◽

Vol 10 (2) ◽

pp. 117-172 ◽

Cited By ~ 13

Author(s):

Andrea Corli

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Geometric Optics ◽

Non Linear ◽

Systems Of Conservation Laws

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Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2005.04.014 ◽

2006 ◽

Vol 222 (2) ◽

pp. 439-475 ◽

Cited By ~ 6

Author(s):

Gui-Qiang Chen ◽

Stéphane Junca ◽

Michel Rascle

Keyword(s):

Conservation Laws ◽

Entropy Solutions ◽

Geometric Optics ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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The validity of nonlinear geometric optics for weak solutions of conservation laws

Communications in Mathematical Physics ◽

10.1007/bf01205786 ◽

1985 ◽

Vol 98 (3) ◽

pp. 313-347 ◽

Cited By ~ 50

Author(s):

Ronald J. DiPerna ◽

Andrew Majda

Keyword(s):

Conservation Laws ◽

Weak Solutions ◽

Geometric Optics ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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Boundary layers and glancing blow-up in nonlinear geometric optics

Annales Scientifiques de l École Normale Supérieure ◽

10.1016/s0012-9593(00)00116-6 ◽

2000 ◽

Vol 33 (3) ◽

pp. 383-432 ◽

Cited By ~ 10

Author(s):

M WILLIAMS

Keyword(s):

Boundary Layers ◽

Blow Up ◽

Geometric Optics ◽

Nonlinear Geometric Optics ◽

Nonlinear Geometric

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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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 ◽

Systems Of Conservation Laws

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