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arXiv · 0812.4765

On the time continuity of entropy solutions

Clément Cancès·Thierry Gallouet
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Abstract

We show that any entropy solution $u$ of a convection diffusion equation $\partial_t u + ÷F(u)-Δϕ(u) =b$ in $\OT$ belongs to $C([0,T),L^1_{Loc}(øØ))$. The proof does not use the uniqueness of the solution.

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Clément Cancès, Thierry Gallouet. 2010-02-25. On the time continuity of entropy solutions. https://arxiv.org/abs/0812.4765

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