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- W2182812393 abstract "In this manuscript we first give the explicit variational structure of the nonlinear elastic waves for isotropic, homogeneous, hyperelastic materials in 2-D. Based on this variational structure, we suggest a null condition which is a kind of structural condition on the nonlinearity in order to stop the formation of finite time singularities of local smooth solutions. In the radial symmetric case, inspired by Alinhac's work [3] on 2-D quasilinear wave equations, we show that such null condition can ensure the globalexistence of smooth solutions with small initial data." @default.
- W2182812393 created "2016-06-24" @default.
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- W2182812393 date "2015-12-04" @default.
- W2182812393 modified "2023-10-17" @default.
- W2182812393 title "Remarks on Nonlinear Elastic Waves in the Radial Symmetry in 2-D" @default.
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- W2182812393 doi "https://doi.org/10.48550/arxiv.1512.01373" @default.
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