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Potential symmetries of a porous medium equation
Journal of Physics A: Mathematical and General, 1996Summary: Potential symmetries, which are not local symmetries, are carried out for the porous medium equation \(u_t= (u^n)_{xx} +g(x)u^m +f(x)u^su_x\) where \(n\neq 0\), when it can be written in a conserved form. These symmetries are realized as local symmetries of a related auxiliary system, and lead to the construction of corresponding invariant ...
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Constitutive equations for a thermoelastic porous medium
Doklady Physics, 20071. In this paper, we develop the phenomenological approach to the description of a saturated porous medium [1‐3]. The case is considered when phase transformations are absent and the contribution of pulsations to both the stress tensor and the kinetic energy is small.
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Flux diffusion and the porous medium equation
Physica C: Superconductivity, 1997Abstract Flux-flow problems in slabs and cylinders, and flux-creep problems in slabs, simplified, reduce to the porous medium equation with possible sign changes. The equation's known self-similar solutions apply exactly or asymptotically if the boundary conditions are right.
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Construction of Medium-Sized Rings by Gold Catalysis
Chemical Reviews, 2021Ronald L Reyes +2 more
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Large metallicity variations in the Galactic interstellar medium
Nature, 2021Annalisa De Cia +2 more
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The Porous Medium Equation. New Contractivity Results
2005We review some lines of recent research in the theory of the porous medium equation. We then proceed to discuss the question of contractivity with respect to the Wasserstein metrics: we show contractivity in one space dimension in all distances d p, 1 ≤p ≤ ∞, and show a negative result for the d ∞ metric in several dimensions.
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An Inverse Problem for Porous Medium Equation
1996An inverse problem for a nonlinear degenerate diffusion equation is considered. We look for unknown coefficient a(u) of the equation u t = (a(u(u x ) x with zero initial values and nonmonotone impulse-like Dirichlet boundary condition. Measurements in an interior point x 0 are taken as overposed data. An optimization approach is used.
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CRISPR screens in physiologic medium reveal conditionally essential genes in human cells
Cell Metabolism, 2021Heather R Keys, David M Sabatini
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Big data analytics adoption: Determinants and performances among small to medium-sized enterprises
International Journal of Information Management, 2020Parisa Maroufkhani +2 more
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