Stability of polytropic filtration equation with variable exponents
From MaRDI portal
Publication:2196580
zbMath1447.35308MaRDI QIDQ2196580
Zhao-sheng Feng, Hua-Shui Zhan
Publication date: 3 September 2020
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ade/1589594419
Non-Newtonian fluids (76A05) Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Electromagnetic theory (general) (78A25) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions to an initial Dirichlet problem of evolutional \(p(x)\)-Laplace equations
- Long-time behavior for a nonlinear parabolic problem with variable exponents
- Existence of solutions of the parabolic variational inequality with variable exponent of nonlinearity
- Reaction-diffusion systems with \(p(x)\)-growth for image denoising
- Solutions of evolutionary \(p(x)\)-Laplacian equation based on the weighted variable exponent space
- Infiltration equation with degeneracy on the boundary
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
- Nonlinear flow through double porosity media in variable exponent Sobolev spaces
- Compact sets in the space \(L^ p(0,T;B)\)
- Global solutions for quasilinear parabolic systems.
- Electrorheological fluids: modeling and mathematical theory
- Global solutions for quasilinear parabolic problems
- Regularity results for stationary electro-rheological fluids
- Intrinsic Harnack inequalities for parabolic equations with variable exponents
- Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
- Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity
- Existence and asymptotic behavior of solutions for nonlinear parabolic equations with variable exponent of nonlinearity
- Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
