Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
By Songzhe Lian, Wenjie Gao, Chunling Cao, Hongjun Yuan. 2008
52 citations recorded by the source corpus.
Abstract The authors of this paper study the Dirichlet problem of the following equation u t − div ( | u | ν ( x , t ) ∇ u ) = f − | u | p ( x , t ) − 1 u . The existence and uniqueness of weak solutions are proven. Also, the properties of the solutions are studied which include the property of finite speed of propagation of disturbances, localization property and the property of vanishing at a finite time etc.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/68f2ca899bbfc9c2d455a2f99edd3d51fbd5cdc4
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Blow‐up of solutions for a viscoelastic wave equation with variable exponents (2019, background): “Obviously, it is a solution of (1)-(3).”