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Large-Time Behavior of Periodic Solutions to Fractal Burgers Equation with Large Initial Data 被引量：1

Large-Time Behavior of Periodic Solutions to Fractal Burgers Equation with Large Initial Data
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摘要 The asymptotic behavior of periodic solutions to fractal nonlinear Burgers equation is considered and the initial data are allowed to be arbitrarily large.The exponential decay estimates of the solutions are obtained for the power of Laplacian α∈[1/2,1). The asymptotic behavior of periodic solutions to fractal nonlinear Burgers equation is considered and the initial data are allowed to be arbitrarily large. The exponential decay estimates of the solutions are obtained for the power of Laplacian α∈ [1/2, 1）.
作者 Lijuan WANG Weike WANG
机构地区 Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第3期405-418,共14页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No. 11071162) the Shanghai Jiao Tong University Innovation Fund for Postgraduates (No. WS3220507101)
关键词 BURGERS方程 周期解 大时间行为 LAPLACIAN 分形 渐近行为 衰减估计 非线性 Fractal Burgers equation, Large-time behavior, Large initial data,Periodic solution, Exponential decay
分类号 O241.82 [理学—计算数学] O175.1 [理学—基础数学]
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参考文献18

  • 1Dong, H., Du, D. and Li, D., Finite time singularities and global well-posedness for fractal Burgers equa- tions, Indiana Univ. Math. J., 58(2), 2009, 807-821.
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Chinese Annals of Mathematics,Series B
2012年 第3期

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