Delta-shock wave type solution of hyperbolic systems of conservation laws

By Vladimir G. Danilov, V. Shelkovich. 2005

173 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/72e585289ee1471353a5b41cbeb04e62c5406008

How researchers see this paper

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In Applied Mathematics

1. Darko Mitrovic
2. E. Panov
3. V. Shelkovich
4. Vladimir G. Danilov

In Computational Mechanics

1. V. Shelkovich
2. Darko Mitrovic
3. E. Panov
4. Vladimir G. Danilov

In Mathematical Physics

1. V. Shelkovich
2. Darko Mitrovic
3. E. Panov
4. Vladimir G. Danilov

Citations in the corpus

• Dynamics of propagation and interaction of δ-shock waves in conservation law systems (2005, methodology): “In the framework of the weak asymptotics method, in [ 8 ], the propagation of ‐-shock waves was described for systems (1.5), (1.8), (1.6).”
• Shock wave formation process for a multidimensional scalar conservation law (2011, methodology): “For instance, using this method, we are able to find explicit formulas describing the interaction of solitons in the case of generalized KdV equations [5, 10], the interaction of Sine-Gordon solitons [14, 21], the evolution of nonlinear waves in the case of scalar conservation laws [3, 7], the inter”
• δ-Shock waves as a new type of solutions to systems of conservation laws (2006, methodology): “One of the approaches to solving problems related to singular solutions of quasilinear equations was developed in [3–9,22–25].”