The multiplication of distributions in the study of delta shock waves for zero-pressure gasdynamics system with energy conservation laws
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DOI: 10.1007/s11587-021-00565-5
Abstract: In this article, we study the delta shock wave for zero-pressure gasdynamics system with energy conservation laws in the frame of $$\alpha $$ -solutions defined in the setting of distributional products. By reformulating the system,… read more here.
Keywords: system; study delta; delta shock; pressure gasdynamics ... See more keywords
Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions
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DOI: 10.1080/14029251.2019.1591718
Abstract: The present paper concerns the study of a Riemann problem for the conservation law ut + [ϕ (u)]x = kδ (x − vt) where x, t, k, v and u = u(x,t) are real numbers.… read more here.
Keywords: laws impulsive; shock waves; waves conservation; conservation laws ... See more keywords
The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System
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DOI: 10.1155/2018/4925957
Abstract: In this paper, we study the perturbed Riemann problem with delta shock for a hyperbolic system. The problem is different from the previous perturbed Riemann problems which have no delta shock. The solutions to the… read more here.
Keywords: perturbed riemann; delta shock; hyperbolic system; problem ... See more keywords