Cauchy problem of Schrödinger-Improved Boussinesq Systems on the torus |
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Authors: | Sijia Zhong |
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Institution: | Department of Mathematics, Southeast University, Nanjing 210096, China |
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Abstract: | In this paper, we will study the local well-posedness of Schrödinger-Improved Boussinesq System with additive noise in Td, d?1, and we will also study the global well-posedness of dimension 1 case with the initial data (u0,v1,v2)∈L2×L2×L2 almost surely, gaining some exponential growth of L2 norm of v. |
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Keywords: | Schrö dinger-Improved Boussinesq System Local well-posedness Global well-posedness Noise |
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