1999Communications in Partial Differential EquationsRequires access

Time regularity for the system of isentropic gas dynamics with γ= 3

Alexis Vasseur

Open publisher page 34 citations

Abstract

We consider the one-dimensional equations of an isentropic gas with γ= 3. We show in this article that every bounded measurable entropy-admissible solution lies in To do so, we use thc kinetic formulation due to Lions, Perthame and Tadmor.

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What this paper is about

We consider the one-dimensional equations of an isentropic gas with γ= 3. We show in this article that every bounded measurable entropy-admissible solution lies in To do so, we use thc kinetic formulation due to Lions, Perthame and Tadmor.

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OpenAlex reports 34 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We consider the one-dimensional equations of an isentropic gas with γ= 3. We show in this article that every bounded measurable entropy-admissible solution lies in To do so, we use thc kinetic formulation due to Lions, Perthame and Tadmor.

Key concepts: Isentropic process, Mathematics, Gas dynamics, Bounded function, Entropy (arrow of time), Kinetic energy, Applied mathematics, Mathematical analysis

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