Complexity of asymptotic behavior of solutions for the fractional porous medium equation
From MaRDI portal
Publication:2697293
DOI10.3934/dcdsb.2022251OpenAlexW4313856450MaRDI QIDQ2697293
Yuanyuan Hu, Liangwei Wang, Jingxue Yin
Publication date: 18 April 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022251
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Cites Work
- Regularity of solutions of the fractional porous medium flow
- Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure
- Barenblatt profiles for a nonlocal porous medium equation
- Complexity of asymptotic behavior of the porous medium equation in \({\mathbb{R}^N}\)
- Highly time-oscillating solutions for very fast diffusion equations
- Complexity of large time behaviour of evolution equations with bounded data
- Nonlinear porous medium flow with fractional potential pressure
- Existence of weak solutions for a general porous medium equation with nonlocal pressure
- The nonlocal porous medium equation: Barenblatt profiles and other weak solutions
- Complicated asymptotic behavior of solutions for the Cauchy problem of Cahn-Hilliard equation
- Relation between solutions and initial values for evolution \(p\)-Laplacian equation
- Asymptotic behaviour of a porous medium equation with fractional diffusion
- Asymptotic complexity in filtration equations
- Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\)
- Regularity of solutions of the fractional porous medium flow with exponent $1/2$
- Finite speed of propagation for a non-local porous medium equation
- Multiscale Asymptotic Behavior of the Schrödinger Equation
- Long-time asymptotics for a 1D nonlocal porous medium equation with absorption or convection
- Equivalence Relation between Initial Values and Solutions for Evolution $p$-Laplacian Equation in Unbounded Space
This page was built for publication: Complexity of asymptotic behavior of solutions for the fractional porous medium equation
