Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations

Authors: SVETLIN GEORGIEV, AISSA BOUKAROU, KHALED ZENNIR

Abstract: In this article we investigate the IVPs for 1-dimensional and 2-dimensional Boussinesq equations. A new topological approach is applied to prove the existence of at least one classical solution and at least two nonnegative classical solutions for the considered IVPs. The arguments are based upon recent theoretical results.

Keywords: Boussinesq equation, existence, classical solution

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