3 years ago

Global Existence and Temporal Decay Estimate to the Generalized BBM-Burgers Equation with Dissipative Term

Hongmei Xu, Xiaoyan Yang

Abstract

Through constructing a Cauchy sequence in a Banach space, we got the local existence of the solution to the generalized Benjamin-Bona-Mahony-Burgers equation with large initial data in one space dimension. Combined with the global bounded estimate of the solution, we extended the local one to a global solution. Using energy estimate, Fourier analysis and time-frequency decomposition etc, we got L2 decay estimate of the solution. The decay rate is the same as that of the heat equation.

Publisher URL: https://link.springer.com/article/10.1007/s11859-018-1351-9

DOI: 10.1007/s11859-018-1351-9

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