Resonance for the isothermal system of isentropic gas dynamics

Lu, Yun-guang

doi:10.1090/S0002-9939-2011-10733-0

Resonance for the isothermal system of isentropic gas dynamics
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Proc. Amer. Math. Soc. 139 (2011), 2821-2826 Request permission

Abstract:

In this paper, we remove the restriction $z_{0}(x) \geq 0$ or $w_{0}(x) \leq 0$ in the paper “Existence of Solutions to Hyperbolic Conservation Laws with a Source” (Commun. Math. Phys., 187 (1997), 327–340) and obtain the existence of solutions for the resonant, isothermal system of isentropic gas dynamics.

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