On the time continuity of entropy solutions
classification
🧮 math.AP
keywords
entropysolutionbelongscontinuityconvectiondeltadiffusionequation
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We show that any entropy solution $u$ of a convection diffusion equation $\partial_t u + \div F(u)-\Delta\phi(u) =b$ in $\OT$ belongs to $C([0,T),L^1_{Loc}(\o\O))$. The proof does not use the uniqueness of the solution.
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