Results 41 to 50 of about 3,628,509 (295)
Three-dimensional spatially localized binary-fluid convection in a porous medium [PDF]
, 2013 Three-dimensional convection in a binary mixture in a porous medium heated from below is studied. For negative separation ratios steady spatially localized convection patterns are expected.
Bergeon, Alain +2 more
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Solute Transport for Pulse Type Input Point Source along Temporally and Spatially Dependent Flow [PDF]
Pollution, 2019 In the present study, analytical solutions are obtained for two-dimensional advection dispersion equation for conservative solute transport in a semi-infinite heterogeneous porous medium with pulse type input point source of uniform nature. The change in
R. R. Yadav, L. K. Kumar
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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, $\frac{\partial u}{\partial t} + (-Δ)^{1/2} (|u|^{m-1}u)=0$ in $\mathbb{R}^N$, with $m>m_*=(N-1)/N$, $N\ge1$ and $f\in L^1(\mathbb{R}^N)$. An $L^1$-contraction semigroup is constructed and the continuous dependence on data and exponent
de Pablo, Arturo +3 more
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Microscopic Dynamics for the Porous Medium Equation [PDF]
, 2011 In this work, I present an interacting particle system whose dynamics conserves the total number of particles but with gradient transition rates that vanish for some configurations. As a consequence, the invariant pieces of the system, namely, the hyperplanes with a fixed number of particles can be decomposed into an irreducible set of configurations ...
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An Asymptotic Approach to Second-kind Similarity Solutions of the Modified Porous-medium Equation
, 2005 The problem of a spreading ground-water mound of liquid in a porous medium, situated on an impermeable horizontal solid layer is revisited. The mathematical formulation for this problem is given by the modified porous medium equation.
Wagner, Barbara
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Convergence in relative error for the porous medium equation in a tube
Annali di Matematica Pura ed Applicata (1923 -), 2023 Given a bounded domain $D \subset \mathbb{R}^N$ and $m > 1$, we study the long-time behaviour of solutions to the Porous Medium equation (PME) posed in a tube \[ \partial_tu = Δu^m \quad \text{ in } D \times \mathbb{R}, \quad t > 0, \] with homogeneous Dirichlet boundary conditions on the boundary $\partial D \times \mathbb{R}$ and suitable ...
Audrito, A., Gárriz, A., Quirós, F.
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The porous medium equation with variable exponent revisited
, 2021 The author presents a simplified proof for the local continuity of the weak solutions to the porous medium equation with variable positive bounded exponent γ (x , t
Henriques, Eurica
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Existence of traveling profiles solutions to porous medium equation [PDF]
, 2023 In this paper, we shall study the existence and uniqueness of solutions called "traveling profiles solutions" to the porous medium equation in one dimension.
Arioua, Yacine, Benhamidouche, Nouredine
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Asymptotic behavior of solutions to coupled porous medium systems with boundary degeneracy
Electronic Journal of Differential Equations, 2022 This article concerns the asymptotic behavior of solutions of one-dimensional porous medium systems with boundary degeneracy in bounded and unbounded intervals.
Xutong Zhao, Mingjun Zhou, Qian Zhou
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An interface tracking algorithm for the porous medium equation [PDF]
Transactions of the American Mathematical Society, 1984 We study the convergence of a finite difference scheme for the Cauchy problem for the porous medium equation u t
DiBenedetto, E., Hoff, David
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