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| Nonresonance and Global Existence of Nonlinear Elastic Wave Equations with External Forces |
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Citation： |
Yi ZHOU,Wei XU.Nonresonance and Global Existence of Nonlinear Elastic Wave Equations with External Forces[J].Chinese Annals of Mathematics B,2012,33(3):437~452 |
| Page view： 2181
Net amount： 1295 |
Authors： |
Yi ZHOU; Wei XU; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11121101, 10728101),the National Basic Research Program of China (973 Program) (No. 2007CB814800), the 111 Project (No. B08018) and SGST (No. 09DZ2272900) |
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| Abstract： |
This paper establishes the global existence of classical solution to the system of homogeneous, isotropic hyperelasticity with time-independent external force, provided that the nonlinear term obeys a type of null condition. The authors first prove the existence and uniqueness of the stationary solution. Then they show that the solution to the dynamical system converges to the stationary solution as time goes to infinity. |
Keywords： |
Nonlinear elasticity, Global existence, Null condition, External force |
Classification： |
35L70, 35Q72 |
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