Results 21 to 30 of about 62 (62)

On a fractional thin film equation

Advances in Nonlinear Analysis, 2020
This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
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System of degenerate parabolic p-Laplacian

Open Mathematics
In 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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A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space

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
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Optimal global second-order regularity and improved integrability for parabolic equations with variable growth

Advances in Nonlinear Analysis
We 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, M.S. Daoussa Haggar, P.M. Tchepmo Djomegni   +2 more
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Pointwise Gradient Estimates in Multi-dimensional Slow Diffusion Equations with a Singular Quenching Term

Advanced Nonlinear Studies, 2020
We consider the high-dimensional equation ∂t⁡u-Δ⁢um+u-β⁢χ{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, Díaz Jesus Ildefonso, Nguyen Quan Ba Hong   +2 more
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Vanishing viscosity limit for a one-dimensional viscous conservation law in the presence of two noninteracting shocks

Demonstratio Mathematica
In this article, we study the inviscid limit of the solution to the Cauchy problem of a one-dimensional viscous conservation law, where the second-order term is nonlinear. Under the assumption that the inviscid equation admits a piecewise smooth solution
Feng Li, Wang Jing
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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, Jin Tianling, Silvestre Luis   +2 more
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On the Two-phase Fractional Stefan Problem

Advanced Nonlinear Studies, 2020
The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix, Endal Jørgen, Vázquez Juan Luis   +2 more
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