Results 31 to 40 of about 221,531 (271)
On a fractional thin film equation
Advances in Nonlinear Analysis, 2020 This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
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Revue des Énergies Renouvelables, 2022 The three-dimensional numerical simulation of laminar mixed convection heat transfer with and without porous medium in a cylindrical duct was carried out in this study. The cylinder is divided into three parts. The first and the third parts are adiabatic,
Amira Houichi +2 more
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Finite speed of propagation for a non-local porous medium equation [PDF]
, 2015 This note is concerned with proving the finite speed of propagation for some non-local porous medium equation by adapting arguments developed by Caffarelli and V\'azquez (2010).Comment: 10 pages. New version after revision.
Imbert, Cyril
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A fractional porous medium equation
Advances in Mathematics, 2011 We develop a theory of existence, uniqueness and regularity for a porous medium equation with fractional diffusion, $\frac{\partial u}{\partial t} + (- )^{1/2} (|u|^{m-1}u)=0$ in $\mathbb{R}^N$, with $m>m_*=(N-1)/N$, $N\ge1$ and $f\in L^1(\mathbb{R}^N)$.
de Pablo, Arturo +3 more
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Numerical Method for a Filtration Model Involving a Nonlinear Partial Integro-Differential Equation
Mathematics, 2022 In this paper, we propose an efficient numerical method for solving an initial boundary value problem for a coupled system of equations consisting of a nonlinear parabolic partial integro-differential equation and an elliptic equation with a nonlinear ...
Dossan Baigereyev +4 more
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Bounded $H_\infty$-calculus for cone differential operators [PDF]
, 2017 We prove that parameter-elliptic extensions of cone differential operators have a bounded $H_\infty$-calculus.
Schrohe, Elmar, Seiler, Jörg
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The porous medium equation in one dimension [PDF]
Transactions of the American Mathematical Society, 1977 We consider a second order nonlinear degenerate parabolic partial differential equation known as the porous medium equation, restricting our attention to the case of one space variable and to the Cauchy problem where the initial data are nonnegative and have compact support consisting of a bounded interval.
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Concavity of Solutions of the Porous Medium Equation [PDF]
Transactions of the American Mathematical Society, 1987 We consider the problem \[ ( P ) { u t =
Benilan, Philippe, Vazquez, Juan Luis
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Blow up for Porous Medium Equations
Mathematical Sciences and Applications E-Notes, 2021 In various branches of applied sciences, porous medium equations exist where this basic model occurs in a natural fashion. It has been used to model fluid flow, chemical reactions, diffusion or heat transfer, population dynamics, etc.. Nonlinear diffusion equations involving the porous medium equations have also been extensively studied. However, there
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On the Cauchy problem for a general fractional porous medium equation with variable density
, 2013 We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according with the behavior of the density
Punzo, Fabio, Terrone, Gabriele
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