Dynamics of propagation and interaction of δ-shock waves in conservation law systems

By Vladimir G. Danilov, V. Shelkovich. 2005

279 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/79122732a0ea08dfcebd6862593bec71f2f99202

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

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

In Astronomy and Astrophysics

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

In Statistical and Nonlinear Physics

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

Citations in the corpus

• 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].”