RADON MEASURE-VALUED SOLUTIONS OF UNSTEADY FILTRATION EQUATIONS

被引：0
|
作者：
Porzio, Maria Michaela [1 ]
Smarrazzo, Flavia [2 ]
Tesei, Alberto [3 ,4 ]
机构：
[1] Univ Sapienza Roma, Dipartimento Pianificaz Design Tecnol Architettur, Via Flaminia 70, I-00196 Rome, Italy
[2] Univ Campus Biomed Roma, Via Alvaro del Portillo 21, I-00128 Rome, Italy
[3] Univ Sapienza Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
[4] CNR, Ist Applicaz Calcolo M Picone, Rome, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年
关键词：
Radon measure-valued solutions; compatibility conditions; well-posedness; space dependence;
D O I：
10.3934/dcds.2022040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study Radon measure-valued solutions of a Cauchy-Dirichlet problem in one space dimension that describes nonlinear convection-diffusion phenomena in heterogeneous media. Well-posedness results are proven, which extend those previously known for the space homogeneous case.
引用
收藏
页码：1595 / 1624
页数：30
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