Stochastic models associated to a nonlocal porous medium equation
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Publication:2326518
DOI10.15559/18-VMSTA112zbMath1436.60062arXiv1902.01227WikidataQ129218438 ScholiaQ129218438MaRDI QIDQ2326518
Publication date: 8 October 2019
Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.01227
Fractional processes, including fractional Brownian motion (60G22) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Quasilinear parabolic equations (35K59)
Related Items (3)
Density Fluctuations in Stochastic Kinematic Flows ⋮ Random flights connecting porous medium and Euler–Poisson–Darboux equations ⋮ Alternative probabilistic representations of Barenblatt-type solutions
Cites Work
- Random flights governed by Klein-Gordon-type partial differential equations
- On random flights with non-uniformly distributed directions
- Barenblatt profiles for a nonlocal porous medium equation
- Nonlinear diffusion of dislocation density and self-similar solutions
- A new family of solvable Pearson-Dirichlet random walks
- Flying randomly in \(\mathbb R^d\) with Dirichlet displacements
- Nonlinear porous medium flow with fractional potential pressure
- Exact probability distributions for noncorrelated random walk models
- A Markov process associated with a porous medium equation
- Interacting diffusions approximating the porous medium equation and propagation of chaos
- Construction of diffusion processes associated with a porous medium equation
- Derivation of a porous medium equation from many Markovian particles and the propagation of chaos
- A microscopic mechanism for the porous medium equation
- Probabilistic approximation for a porous medium equation.
- The nonlocal porous medium equation: Barenblatt profiles and other weak solutions
- Asymptotic behaviour of a porous medium equation with fractional diffusion
- Finite and infinite speed of propagation for porous medium equations with fractional pressure
- Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
- Fractional Klein-Gordon equations and related stochastic processes
- On a directionally reinforced random walk
- First Passage Times for Symmetric Stable Processes in Space
- Random flights connecting porous medium and Euler–Poisson–Darboux equations
- Dirichlet Random Walks
- A family of random walks with generalized Dirichlet steps
- Explicit Barenblatt profiles for fractional porous medium equations
- Random flights related to the Euler-Poisson-Darboux equation
- A Pearson random walk with steps of uniform orientation and Dirichlet distributed lengths
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