On a non-linear moving boundary problem for a diffusion-convection equation

被引：6
|
作者：
Briozzo, A. C. [1 ,2 ]
Natale, M. F. [1 ]
机构：
[1] Univ Austral, FCE, Depto Matemat, RA-1950 Rosario, Santa Fe, Argentina
[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2012年 / 47卷 / 06期
关键词：
Free boundary problem; Nonlinear diffusion-convection equation; Volterra integral equation; DEPENDENT THERMAL-CONDUCTIVITY; PHASE STEFAN PROBLEM; HEAT-EQUATION; FLUX;
D O I：
10.1016/j.ijnonlinmec.2011.11.012
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We study a one-dimensional free boundary problem for a non-linear diffusion-convection equation whose diffusivity is heterogeneous in space as well as being non-linear. Under the Backlund transformation the problem is reduced to an associated free boundary problem. We prove the existence and uniqueness, local in time, of the solution by using the Friedman Rubinstein integral representation method and the Banach contraction theorem. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：712 / 718
页数：7
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