Non-local porous media equations with fractional time derivative
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Publication:2048347
DOI10.1016/j.na.2021.112486zbMath1471.35295arXiv2010.16332OpenAlexW3182733537MaRDI QIDQ2048347
Jingjing Xu, Xinyu Zhang, Maria Pia Gualdani, Nicola Zamponi, Esther S. Daus
Publication date: 5 August 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.16332
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Theoretical approximation in context of PDEs (35A35) Fractional partial differential equations (35R11)
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Cites Work
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- A parabolic problem with a fractional time derivative
- Regularity of solutions of the fractional porous medium flow
- Porous medium flow with both a fractional potential pressure and fractional time derivative
- Fractional variational problems with the Riesz-Caputo derivative
- Nonlinear porous medium flow with fractional potential pressure
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- On the concepts of state and free energy in linear viscoelasticity
- A nondivergence parabolic problem with a fractional time derivative.
- Existence of weak solutions for a general porous medium equation with nonlocal pressure
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- Singularity formation in fractional Burgers' equations
- The nonlocal porous medium equation: Barenblatt profiles and other weak solutions
- Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation
- Time-fractional diffusion equation in the fractional Sobolev spaces
- A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
- Maximum principles, extension problem and inversion for nonlocal one-sided equations
- Une méthode particulaire déterministe pour des équations diffusives non linéaires
- Regularity of solutions of the fractional porous medium flow with exponent $1/2$
- Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
- Foundations of Linear Viscoelasticity
- A gradient flow approach to an evolution problem arising in superconductivity
- Macroscopic evolution of particle systems with short- and long-range interactions
- A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs
- Existence of weak solutions to a continuity equation with space time nonlocal Darcy law
- Introduction to higher analysis. Topological spaces, function theory, ordinary differential equations, measure and integration theory, functional analysis
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