Results 51 to 60 of about 1,990 (139)
A new contraction family for porous medium and fast diffusion equation [PDF]
, 2014 In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada +2 more
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A cross-diffusion system derived from a Fokker-Planck equation with partial averaging [PDF]
, 2016 A cross-diffusion system for two compoments with a Laplacian structure is analyzed on the multi-dimensional torus. This system, which was recently suggested by P.-L.
Jüngel, Ansgar, Zamponi, Nicola
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Diffraction problems for quasilinear parabolic systems with boundary intersecting interfaces
Boundary Value Problems, 2013 In this paper, we discuss the n-dimensional diffraction problem for weakly coupled quasilinear parabolic system on a bounded domain Ω, where the interfaces Γk (k=1,…,K−1) are allowed to intersect with the outer boundary ∂ Ω and the coefficients of the ...
Qi-Jian Tan, C. Pan
semanticscholar +2 more sources
System of degenerate parabolic p-Laplacian
Open MathematicsIn this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
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Advances in Nonlinear Analysis, 2014 We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
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Non-Newtonian polytropic filtration systems with nonlinear boundary conditions
Boundary Value Problems, 2011 This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by ...
Du Wanjuan, Li Zhongping
doaj
Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vaccum [PDF]
, 2016 This paper considers the initial boundary problem to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. The global existence and uniqueness of large strong solutions are established when the heat conductivity ...
Fan, Jishan, Huang, Shuxiang, Li, Fucai
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Advances in Nonlinear AnalysisWe consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
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Finite element method for nonlocal problems of Kirchhoff-type in domains with moving boundary
Scientific African, 2022 This paper is devoted to the analysis of the finite element method for the mixed problem for the Kirchhoff nonlinear model given by the hyperbolic-parabolic equations in a bounded noncylindrical domain with moving boundaries.
M. Mbehou +2 more
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Advanced Nonlinear Studies, 2020 We consider the high-dimensional equation ∂tu-Δum+u-βχ{u>0}=0{\partial_{t}u-\Delta u^{m}+u^{-\beta}{\chi_{\{u>0\}}}=0}, extending the mathematical treatment made in 1992 by B. Kawohl and R. Kersner for the one-dimensional case.
Dao Nguyen Anh +2 more
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