Nonlinear analysis on the vibration of elastic plates |
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| Authors: | Min DING Shengbo GONG |
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| Institution: | Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China;School of Mathematical Science and School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | We consider the vibration of elastic thin plates under certain reasonable assumptions. We derive the nonlinear equations for this model by the Hamilton Principle. Under the conditions on the hyperbolicity for the initial data, we establish the local time well-posedness for the initial and boundary value problem by Picard iteration scheme, and obtain the estimates for the solutions. |
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| Keywords: | Vibration of elastic plates Hamilton principle well-posedness Picard iteration 35A01 35L20 35B35 |
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