Global Existence of Compressible Dissipative Elastodynamics Systems with Zero Shear Viscosity in Two Dimensions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1177-1243 |
| Journal / Publication | Archive for Rational Mechanics and Analysis |
| Volume | 235 |
| Issue number | 2 |
| Online published | 6 Aug 2019 |
| Publication status | Published - Feb 2020 |
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Abstract
In this paper, we study the two dimensional compressible dissipative elastodynamics system with zero shear viscosity, and prove global stability around a constant equilibrium. Due to the low pointwise dispersive estimate, 1/√t, for the divergence-free projection of solutions in dimension two, and the lack of null structures in convective terms, energy estimates, combined with Green’s functions and dispersive estimates, for both solutions and their potentials, are obtained to control the interactions in nonlinear terms.
Citation Format(s)
Global Existence of Compressible Dissipative Elastodynamics Systems with Zero Shear Viscosity in Two Dimensions. / HU, Xianpeng; ZHAO, Wenbin.
In: Archive for Rational Mechanics and Analysis, Vol. 235, No. 2, 02.2020, p. 1177-1243.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
