Singular solutions to systems of conservation laws and their algebraic aspects

Linear and Non-Linear Theory of Generalized Functions and its Applications ◽

10.4064/bc88-0-20 ◽

2010 ◽

Author(s):

V. M. Shelkovich

Keyword(s):

Conservation Laws ◽

Singular Solutions ◽

Systems Of Conservation Laws

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δ′-shock waves as a new type of singular solutions to hyperbolic systems of conservation laws

Doklady Mathematics ◽

10.1134/s106456240602030x ◽

2006 ◽

Vol 73 (2) ◽

pp. 264-268 ◽

Cited By ~ 3

Author(s):

E. Yu. Panov ◽

V. M. Shelkovich

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Singular Solutions ◽

Systems Of Conservation Laws ◽

New Type

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$ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes

Russian Mathematical Surveys ◽

10.1070/rm2008v063n03abeh004534 ◽

2008 ◽

Vol 63 (3) ◽

pp. 473-546 ◽

Cited By ~ 36

Author(s):

V M Shelkovich

Keyword(s):

Shock Wave ◽

Conservation Laws ◽

Singular Solutions ◽

Delta Shock Wave ◽

Delta Shock ◽

Systems Of Conservation Laws

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Systems of Conservation Laws 1

10.1017/cbo9780511612374 ◽

1999 ◽

Cited By ~ 214

Author(s):

Denis Serre

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.017 ◽

2015 ◽

Vol 282 ◽

pp. 381-396 ◽

Cited By ~ 2

Author(s):

Matthew R. Norman

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Time Discretization ◽

Finite Volume Methods ◽

Systems Of Conservation Laws

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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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New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Cited By ~ 81

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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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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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/110836961 ◽

2012 ◽

Vol 50 (2) ◽

pp. 544-573 ◽

Cited By ~ 106

Author(s):

Ulrik S. Fjordholm ◽

Siddhartha Mishra ◽

Eitan Tadmor

Keyword(s):

Conservation Laws ◽

High Order ◽

Systems Of Conservation Laws ◽

Entropy Stable ◽

Essentially Nonoscillatory

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Viscous limits for a Riemannian problem to a class of systems of conservation laws

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2018-48-5-1721 ◽

2018 ◽

Vol 48 (5) ◽

pp. 1721-1741 ◽

Cited By ~ 1

Author(s):

Yanyan Zhang ◽

Yu Zhang

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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