Results 41 to 50 of about 234 (137)
Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating
Boundary Value Problems, 2014 We consider the asymptotic behavior of the solution of the non-local parabolic equation ut=(κ(u))rr+(κ(u))rr+f(u)(a+2πb∫01f(u)rdr)2, for 00, with a homogeneous Dirichlet boundary condition.
Mingshu Fan, Anyin Xia, Lei Zhang
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Large time behavior of solutions for the porous medium equation with a nonlinear gradient source
Boundary Value Problems, 2014 This paper deals with the large time behavior of non-negative solutions for the porous medium equation with a nonlinear gradient source ut=Δum+|∇ul|q, (x,t)∈Ω×(0,∞), where l≥m>1 and 1 ...
Nan Li +3 more
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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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THE EVOLUTION OF AN ANISOTROPIC HYPERBOLIC SCHRODINGER MAP HEAT FLOW
, 2015 Solution of Schrödinger map heat flow equation with applied field in 2-dimensional H2 space is obtained. Two different methods are used to construct the norm −1 exact solution. The solution admit a finite time singularity or a global smooth property. AMS
P. Zhong
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A General Approach to Stability in Free Boundary Problems
, 2000 Every solution of a linear elliptic equation on a bounded domain may be considered as an equilibrium of a free boundary problem. The free boundary problem consists of the corresponding parabolic equation on a variable unknown domain with free boundary ...
Alessandra Lunardi +10 more
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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
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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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An anisotropic quasilinear problem with perturbations
Boundary Value Problems, 2013 This work focuses on proving the existence and uniqueness of strong solutions of perturbed anisotropic total variation flow with the Neumann boundary condition when the initial data is an L2(Ω) function. MSC:35K65, 35K55.
J. Rui, Jianguo Si
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Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation
, 2013 We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point theorem, we prove the existence of time-periodic solutions.
Changchun Liu, Aibo Liu, Hui Tang
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Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator
Open MathematicsIn this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
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