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arxiv: 1310.8093 · v5 · pith:ARR5Y4Q7new · submitted 2013-10-30 · 🧮 math.AP · math.PR

Stochastic isentropic Euler equations

classification 🧮 math.AP math.PR
keywords equationseulerexistenceisentropiccharacterizationconcludingdiscussdynamics
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We study the stochastically forced system of isentropic Euler equations of gas dynamics with a $\gamma$-law for the pressure. We show the existence of martingale weak entropy solutions; we also discuss the existence and characterization of invariant measures in the concluding section.

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