Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/8871
Title: Dirichlet problem on the half-line for a forced Burgers equation with time-variable coefficients and exactly solvable models
Authors: Atılgan Büyükaşık, Şirin
Bozacı, Aylin
Issue Date: 2020
Publisher: Elsevier
Abstract: We consider a forced Burgers equation with time-variable coefficients and solve the initial-boundary value problem on the half-line 0 < x < infinity with inhomogeneous Dirichlet boundary condition imposed at x = 0. Solution of this problem is obtained in terms of a corresponding second order ordinary differential equation and a second kind singular Volterra type integral equation. As an application of the general results, we introduce three different Burgers type models with specific damping, diffusion and forcing coefficients and construct classes of exactly solvable models. The Burgers problems with smooth time-dependent boundary data and an initial profile with pole type singularity have exact solutions with moving singularity. For each model we provide the solutions explicitly and describe the dynamical properties of the singularities depending on the time-variable coefficients and the given initial and boundary data. (C) 2019 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cnsns.2019.105059
https://hdl.handle.net/11147/8871
ISSN: 1007-5704
1878-7274
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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