Nonlinear Hyperbolic Equations and Linear Heat Conduction with Memory

被引：0
|
作者：
Carillo, Sandra [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat Sci Applica, I-00161 Rome, Italy
来源：
MECHANICS OF MICROSTRUCTURED SOLIDS 2: CELLULAR MATERIALS, FIBRE REINFORCED SOLIDS AND SOFT TISSUES: CELLULAR MATERIALS, FIBRE REINFORCED SOLIDS AND SOFT TISSUES | 2010年 / 50卷
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D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The model of a rigid heat conductor with memory is considered. Specifically, in the one-dimensional case, a connection, via Cole-Hopf Transformation, between the linear integro-differential evolution equation which describes heat conduction with memory and a nonlinear partial integro-differential equation of hyperbolic type is established. Notably, when the heat conductor is homogeneous, as well as when the homogeneity hypothesis is removed, the differential operator of the transformed nonlinear partial differential equation is of hyperbolic type.
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页码：63 / 70
页数：8
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