Hongqiu Chen : Some thoughts on BBM, BBM-KdV-type nonlinear dispersive equations

Posted by Ian Tobasco , part of the Analysis and Applied Mathematics Seminar.

At

Nov. 22, 2021, 4 p.m.

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636 SEO

Abstract

The BBM equation posed on R, R+ and bounded interval, is revisited. Improving on earlier results, global well-posedness and bounds for the growth in time of relevant norms of solutions corresponding to very general auxiliary data are derived. It is based on some simple variable change. Similarly, one can obtain better results for variety of BBM-KdV-type equations.