Analysis of class of 2D nonlinear Rosenau-regularized long wave equation with Neumann boundary conditions

Ghassan A. Al-Juaifri; Basheer A.   Sadiq

doi:10.5269/bspm.76379

Ghassan A. Al-Juaifri Department of Mathematics,Faculty of Computer Science and Mathematics, University of Kufa, Kufa, Iraq
Basheer A. Sadiq

Résumé

We analyze nonlinear Rosenau-Regularized LongWave equation on open bounded convex domains with Neumann boundary conditions. The classical Faedo-Galerkin method, combined with compactness arguments, is employed to establish the existence, continuous dependence and uniqueness of analytic solutions on the initial data. Furthermore, a comprehensive case study is presented to illustrate the application of this approach to the Rosenau equation.

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