A minimization approach to conservation laws with random initialconditions and non-smooth, non-strictly convex flux
We obtain solutions to conservation laws under any random initial conditionsthat are described by Gaussian stochastic processes (in some cases discretized). We analyze thegeneralization of Burgers' equation for a smooth flux function $H\left( p\right)=\left\vert p\right\vert ^{j}$ for $j\geq2$...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/10.3934/Math.2018.1.148/fulltext.html |