Results 31 to 40 of about 43,973 (335)
A degenerate pseudo-parabolic equation with memory [PDF]
Communications in Applied and Industrial Mathematics, 2019 Abstract We prove the existence and uniqueness for a degenerate pseudo-parabolic problem with memory. This kind of problem arises in the study of the homogenization of some differential systems involving the Laplace-Beltrami operator and describes the effective behaviour of the electrical conduction in some composite materials.
M. Amar +3 more
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The Cauchy Problem for Parabolic Equations with Degeneration [PDF]
Advances in Mathematical Physics, 2020 Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points.
Ivan Pukal’skii, Bohdan Yashan
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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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, 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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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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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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Fundamental solutions for degenerate parabolic equations [PDF]
Acta Mathematica, 1974 This chapter explains the construction of a candidate for a fundamental solution and the existence, smoothness, and certain bounds for a fundamental solution Γ. The underlying assumptions were that ( a ij , ( x )) is uniformly positive definite and a ij , b i are bounded and uniformly Holder continuous. The chapter presents a proof of how if a ij ,
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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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