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

A.C. Briozzo; M.F. Natale

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

机译：对流扩散方程的非线性运动边界问题

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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.

机译：我们研究了一个非线性扩散对流方程的一维自由边界问题，该方程的扩散率在空间中是异质的，而且是非线性的。在Backlund变换下，问题被简化为相关的自由边界问题。我们使用弗里德曼·鲁宾斯坦积分表示方法和Banach压缩定理证明了该解的存在性和唯一性，在时间上是局部的。

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来源
《International journal of non-linear mechanics》 |2012年第6期|p.712-718|共7页
作者
A.C. Briozzo; M.F. Natale;
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作者单位

Depto. de Matematica, F.C.E., Universidad Austral, Paraguay 1950, S2000FZF Rosario, Argentina,CON1CET, Argentina;

Depto. de Matematica, F.C.E., Universidad Austral, Paraguay 1950, S2000FZF Rosario, Argentina;

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正文语种 eng
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关键词
free boundary problem; nonlinear diffusion-convection equation; volterra integral equation;

机译：自由边界问题;非线性扩散对流方程;沃尔泰拉积分方程;

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

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