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| Large-Time Behavior of Periodic Solutions to Fractal Burgers Equation with Large Initial Data |
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Citation： |
Lijuan WANG,Weike WANG.Large-Time Behavior of Periodic Solutions to Fractal Burgers Equation with Large Initial Data[J].Chinese Annals of Mathematics B,2012,33(3):405~418 |
| Page view： 2143
Net amount： 1390 |
Authors： |
Lijuan WANG; Weike WANG; |
Foundation： |
the National Natural Science Foundation of China (No. 11071162) and the Shanghai Jiao Tong University Innovation Fund for Postgraduates (No.WS3220507101) |
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| Abstract： |
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 $ \alpha \in [\frac{1}{2}, 1)$. |
Keywords： |
Fractal Burgers equation, Large-time behavior, Large initial data,Periodic solution, Exponential decay |
Classification： |
35A05, 35B40, 35Q53 |
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