Results 61 to 70 of about 419,059 (296)
Dissipation enhancement for a degenerated parabolic equation
Communications in Mathematical Sciences, 2023 22 ...
Feng, Yu, Hu, Bingyang, Xu, Xiaoqian
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Boundary Estimates for Certain Degenerate and Singular Parabolic Equations [PDF]
J. Eur. Math. Soc. 18, (2016), 381-424, 2014 We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic $p$-Laplacian. Assuming that such solutions continuously vanish on some distinguished part of the lateral part $S_T$ of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences ...
arxiv +1 more source
A strongly degenerate parabolic aggregation equation [PDF]
Communications in Mathematical Sciences, 2011 This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to one side of the given position. This equation can be understood as a model of aggregation of the individuals of a population with the solution representing their local density.
Betancourt, F. +2 more
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Effective junction conditions for degenerate parabolic equations [PDF]
Calculus of Variations and Partial Differential Equations, 2016 We are interested in the study of parabolic equations on a multi-dimensional junction, i.e. the union of a finite number of copies of a half-hyperplane of dimension d+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
C. Imbert, V. Nguyen
semanticscholar +1 more source
A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians [PDF]
, 2015 We investigate large-time asymptotics for viscous Hamilton--Jacobi equations with possibly degenerate diffusion terms. We establish new results on the convergence, which are the first general ones concerning equations which are neither uniformly ...
Barles +24 more
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Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations [PDF]
, 2013 We prove locally in time the existence of a smooth solution for multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type. We establish also natural H\"{o}lder class for the boundary conditions in the Cauchy-Dirichlet problem for a degenerate parabolic equation.
arxiv +1 more source
, 2015 We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a superlinear part in the sense of Barles and Souganidis (2001).
Ley, Olivier, Nguyen, Vinh Duc
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Periodic solutions for a degenerate parabolic equation
Applied Mathematics Letters, 2009 AbstractIn this work, we establish the existence of nontrivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms. The key is the using of Moser’s iteration technique and the theory of the Leray–Schauder degree.
Jiebao Sun +3 more
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Discontinuous “viscosity” solutions of a degenerate parabolic equation [PDF]
Transactions of the American Mathematical Society, 1990 We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.
BERTSCH, MICHIEL, Dal Passo R, Ughi, M.
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj +1 more source