Random flights connecting porous medium and Euler–Poisson–Darboux equations
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Publication:3298900
DOI10.1063/1.5121502zbMath1446.76157arXiv1709.07663OpenAlexW3017030300MaRDI QIDQ3298900
Alessandro De Gregorio, Enzo Orsingher
Publication date: 16 July 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.07663
fractional equationrandom particle motionDirichlet probability distributionKompanets-Zel'dovich-Barenblatt solution
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (9)
Solution to the Fractional Order Euler-Poisson-Darboux Equation ⋮ Solving the Euler-Poisson-Darboux equation of fractional order ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ On the telegraph process driven by geometric counting process with Poisson-based resetting ⋮ Pseudoprocesses related to higher-order equations of vibrations of rods ⋮ Alternative probabilistic representations of Barenblatt-type solutions ⋮ Solutions to non-linear Euler-Poisson-Darboux equations by means of generalized separation of variables ⋮ Stochastic models associated to a nonlocal porous medium equation ⋮ Probability distributions for the run-and-tumble models with variable speed and tumbling rate
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