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arXiv · 2403.17732

On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping

Richard De la cruz·Wladimir Neves
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Abstract

In this paper, we study two systems with a time-variable coefficient and general time-gradually-degenerate damping. More explicitly, we construct the Riemann solutions to the time-variable coefficient Zeldovich approximation and time-variable coefficient pressureless gas systems both with general time-gradually-degenerate damping. Applying the method of similar variables and nonlinear viscosity, we obtain classical Riemann solutions and delta shock wave solutions.

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Richard De la cruz, Wladimir Neves. 2024-03-26. On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping. https://arxiv.org/abs/2403.17732

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