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Enhanced existence time of solutions to evolution equations of Whitham type by Ehrnström, Mats; Wang, Yuexun is a scholarly article available to read on EtoBox.

What is Enhanced existence time of solutions to evolution equations of Whitham type about?

We show that Whitham type equations u_t + u u_x -L u_x = 0, where L is a general Fourier multiplier operator of order \alpha \in [-1,1], \alpha\neq 0, allow for small solutions to be extended beyond their expected existence time. The result is valid for a range of quadratic dispersive equations with inhomogeneous symbols in the dispersive range given by \alpha, and should be extendable to other equations of the same relative dispersive strength.

Author

Ehrnström, Mats; Wang, Yuexun

Published

2020

Language

EN