Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping

Hongjun Qiu and Yinghui Zhang

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: We investigate the 3D quasilinear hyperbolic equations with nonlinear damping which describes the propagation of heat wave for rigid solids at very low temperature, below about 20 K. The global existence and uniqueness of strong solutions are obtained when the initial data is near its equilibrium in the sense of H3‐norm. Furthermore, if, additionally, Lp‐norm (1 ≤ p

Date: 2017
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https://doi.org/10.1155/2017/2708483

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:2708483

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