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arXiv · 2408.00849

Existence of BV solutions for $2\times2$ hyperbolic balance laws for $L^\infty$ initial data

Boris Haspot·Animesh Jana
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Abstract

We prove the existence of BV solutions for $2\times 2$ system of hyperbolic balance laws in one space dimension. The flux is assumed to have two genuinely nonlinear characteristic fields. We consider a general force which may possibly depend on time and space variable as well. To prove the existence, we assume the initial data to be small in $L^\infty$. Furthermore, we also study qualitative behavior for entropy solutions to hyperbolic system of balance laws.

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Boris Haspot, Animesh Jana. 2024-08-01. Existence of BV solutions for $2\times2$ hyperbolic balance laws for $L^\infty$ initial data. https://arxiv.org/abs/2408.00849

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