• Corpus ID: 235727531

Uniqueness and asymptotic stability of time-periodic solution for the fractal Burgers equation

@inproceedings{Zhang2021UniquenessAA,
  title={Uniqueness and asymptotic stability of time-periodic solution for the fractal Burgers equation},
  author={Yong Zhang},
  year={2021}
}
Abstract. The paper is concerned with the time-periodic (T-periodic) problem of the fractal Burgers equation with a T-periodic force on the real line. Based on the Galerkin approximates and Fourier series (transform) methods, we first prove the existence of T-periodic solution to a linearized version. Then, the existence and uniqueness of T-periodic solution to the nonlinear equation are established by the contraction mapping argument. Furthermore, we show that the unique T-periodic solution is… 
1 Citations
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