Answer by Rosy for Conservation Laws: Difference and Reasonability Weak...
Any weak solution is a distributional solution.. However when we are dealing with initial value problem, it makes more sense to talk about weak solution as one would expect in some sense solution takes...
View ArticleConservation Laws: Difference and Reasonability Weak solutions, Integral...
Suppose we have for $T\in\mathbb{R}_{>0}$ a conservation law of the following general form\begin{align}\dot{u}(t,x)+(a(t,x,u(t,x)))_{x}&=0 &&...
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