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Ping Chen

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Preprint Jul 2026

Stochastic Scalar Conservation Laws on Moving Hypersurfaces

We establish the well-posedness of stochastic scalar conservation laws on moving hypersurfaces driven by Brownian motion. To handle the interaction between stochastic forcing and evolving geometry, we derive an It\^{o} formula on moving surfaces and introduce the notion of generalized entropy solutions incorporating th...

Ping Chen, Tu-Sheng Zhang · 0 citations

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