Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem

2023/02/08 by José M. Arrieta, Arrieta, José M., Alexandre N. Carvalho +5
Mathematics · #Differential Equations and Boundary Problems #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2302.04314

Abstract

In this article, we study a one-dimensional nonlocal quasilinear problem of the form u_t=a(\Vert u_x\Vert²)u_xx+νf(u), with Dirichlet boundary conditions on the interval [0,π], where 0

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