Global dynamics of the Boussinesq‐Burgers system with large initial data |
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Authors: | Hai‐Yang Jin Zhengrong Liu |
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Affiliation: | School of Mathematics, South China University of Technology, Guangzhou, China |
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Abstract: | In this paper, we study the global existence and asymptotic behavior of the Boussinesq‐Burgers system subject to the Dirichlet boundary conditions. Based on the Lp(p > 2) estimates of the solution, which are different from the standard L2‐based energy methods, we show that the classical solutions exist globally and converge to their boundary data at an exponential decay rate as time goes to infinity for large initial data. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | Boussinesq‐Burgers system exponential decay rate large initial data |
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