Results 11 to 20 of about 3,628,509 (295)
Regularity of the interface for the porous medium equation [PDF]
Electronic Journal of Differential Equations, 2000 We establish the interface equation and prove the C-infinity regularity of the interface for the porous medium equation whose solution is radial symmetry.
Youngsang Ko
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p-Adic Analogue of the Porous Medium Equation [PDF]
Journal of Fourier Analysis and Applications, 2017 We consider a nonlinear evolution equation for complex-valued functions of a real positive time variable and a p-adic spatial variable. This equation is a non-Archimedean counterpart of the fractional porous medium equation. Developing, as a tool, an $L^1$-theory of Vladimirov's p-adic fractional differentiation operator, we prove m-accretivity of the ...
Andrei Yu. Khrennikov +1 more
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A Radó theorem for the porous medium equation [PDF]
Boletín de la Sociedad Matemática Mexicana, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitry Fedchenko, Nikolai Tarkhanov
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Periodic solutions for a porous medium equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions.
Dazhi Zhang, Jiebao Sun, Boying Wu
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Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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Numerical Methods for a Porous Medium Equation [PDF]
, 1978 The degenerate parabolic equation has been used to model the flow of gas through a porous medium. Error estimates for continuous and discrete time finite element procedures to approximate the solution of this equation are proved and a new regularity result is described.
Rose, M. E.
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On the Solutions of a Porous Medium Equation with Exponent Variable
Discrete Dynamics in Nature and Society, 2019 The paper studies the initial-boundary value problem of a porous medium equation with exponent variable. How to deal with nonlinear term with the exponent variable is the main dedication of this paper.
Huashui Zhan
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System of porous medium equations [PDF]
Journal of Differential Equations, 2021 We investigate the evolution of population density vector, $\bold{u}=\left(u^1,\cdots,u^k\right)$, of $k$-species whose diffusion is controlled by its absolute value $\left|\bold{u}\right|$. More precisely we study the properties and asymptotic large time behaviour of solution $\bold{u}=\left(u^1,\cdots,u^k\right)$ of degenerate parabolic system \begin{
Kim, Sunghoon, Lee, Ki-Ahm
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Boundary Regularity for the Porous Medium Equation [PDF]
Archive for Rational Mechanics and Analysis, 2018 We study the boundary regularity of solutions to the porous medium equation $u_t = Δu^m$ in the degenerate range $m>1$. In particular, we show that in cylinders the Dirichlet problem with positive continuous boundary data on the parabolic boundary has a solution which attains the boundary values, provided that the spatial domain satisfies the ...
Anders Björn +3 more
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The Toda Flow as a Porous Medium Equation
Communications in Mathematical Physics, 2023 We describe the geometry of the incompressible porous medium (IPM) equation: we prove that it is a gradient dynamical system on the group of area-preserving diffeomorphisms and has a special double-bracket form. Furthermore, we show its similarities and differences with the dispersionless Toda system.
Boris Khesin, Klas Modin
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