Results 81 to 90 of about 2,477 (140)
Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability
, 2004 Received by the editors September 18, 2002. 2000 Mathematics Subject Classification. Primary 35L60; Secondary 35B35, 35B45, 35K55, 35L65, 76L05.
O. Guès +3 more
semanticscholar +1 more source
Global and non global solutions for a class of coupled parabolic systems
Advances in Nonlinear Analysis, 2020 In the present paper, we investigate the global well-posedness and exponential decay for some coupled non-linear heat equations. Moreover, we discuss the global and non global existence of solutions using the potential well method.
Saanouni T.
doaj +1 more source
Gradient estimates for a weighted nonlinear parabolic equation and applications
Open Mathematics, 2020 This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold.
Abolarinwa Abimbola +2 more
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Advances in Nonlinear AnalysisThe aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
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Optimal coupling for mean field limits
, 2009 We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods.
Bolley, François
core
The impact factors of the risk index and diffusive dynamics of a SIS free boundary model. [PDF]
Infect Dis Model, 2022 Tong Y, Ahn I, Lin Z.
europepmc +1 more source
Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
, 2016 The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with nonnegative initial data,
Xiao, Weiliang, Zhou, Xuhuan
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Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Calc Var Partial Differ Equ, 2021 Bögelein V +3 more
europepmc +1 more source
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
Open Mathematics, 2017 The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
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Higher-order anisotropic models in phase separation
Advances in Nonlinear Analysis, 2017 Our aim in this paper is to study higher-order (in space) Allen–Cahn and Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor.
Cherfils Laurence +2 more
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