A new kind of the solution of degenerate parabolic equation with unbounded convection term
Open Mathematics, 2015 A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic ...
Huashui Zhan
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WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
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An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension [PDF]
Mathematische Annalen, 2022 Energy (or Lyapunov) functions are used to prove stability of equilibria, or to indicate a gradient-like structure of a dynamical system. Matano constructed a Lyapunov function for quasilinear non-degenerate parabolic equations. We modify Matano’s method
Phillipo Lappicy, Ester Beatriz
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Stability for degenerate parabolic equations [PDF]
Advances in Calculus of Variations, 2010 The authors study the stability of the solutions of the evolutionary \(p\)-Laplace equation \[ {\partial u\over\partial t}= \nabla\cdot(|\nabla u|^{p-2}\nabla u) \] under variations of the parameter \(p\). The problem is delicate, since the underlying Sobolev space varieties with \(p\). The boundary values are given on the parabolic boundary of a space-
Parviainen, Mikko, Kinnunen, Juha
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, 2020 In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed ...
Floridia, Giuseppe +2 more
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Liouville properties and critical value of fully nonlinear elliptic operators [PDF]
, 2016 We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
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Hölder gradient estimates for a class of singular or degenerate parabolic equations
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation
Discrete Dynamics in Nature and Society, 2020 This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method.
Fahe Miao, Hui Liu, Jie Xin
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An improved homogenization result for immiscible compressible two-phase flow in porous media
Networks and Heterogeneous Media, 2017 The paper deals with a degenerate model of immiscible compressible two-phase flow in heterogeneous porous media. We consider liquid and gas phases (water and hydrogen) flow in a porous reservoir, modeling the hydrogen migration through engineered and ...
Brahim Amaziane +2 more
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
, 2018 Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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