Results 51 to 60 of about 115 (113)
On a class of fully nonlinear parabolic equations
Advances in Nonlinear Analysis, 2016 We study the homogeneous Dirichlet problem for the fully nonlinear ...
Antontsev Stanislav, Shmarev Sergey
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Advances in Nonlinear AnalysisIn this work, we consider a flux-limited chemotaxis model with indirect signal production and nonlinear diffusion,ut=∇⋅(D(u)∇u)−∇⋅(uf(|∇v|2)∇v)−k1u+k2w,x∈Ω,t>0,0=Δv−μ(t)+w,x∈Ω,t>0,wt=Δw−λ1w+λ2u,x∈Ω,t>0 $$\begin{cases}_{t}=\nabla \cdot \left(D\left(u ...
Tu Xinyu, Mu Chunlai, Minghua Zhang
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Stabilization of arbitrary structures in a three-dimensional doubly degenerate nutrient taxis system
European Journal of Applied MathematicsThe doubly degenerate nutrient taxis system (0.1) \begin{equation} \left \{ \begin{aligned} &u_{t}=\nabla \cdot (uv\nabla u)-\chi \nabla \cdot (u^{\alpha }v\nabla v)+\ell uv,&x\in \Omega ,\, t\gt 0,\\[5pt] & v_{t}=\Delta v-uv,&x\in \Omega ,\, t\gt 0,\\
Xiang-Mao De-Ji, Ai Huang, Yifu Wang
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, 2008 . We begin with the initial-boundary-value problem for a coupled system of partial differential equations which describes the Biot consolidation model in poroelasticity.
R. E. Showalter
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Weak solutions for anisotropic parabolic equations with low-integrability initial data
Advances in Nonlinear AnalysisWe study an anisotropic nonlinear parabolic equation with initial data u 0 ∈ L r(Ω), for 1 < r < 2, and a general Carathéodory lower-order term. The zero-order term is allowed to grow with a coefficient b(x, t) belonging to a suitable Lorentz space ...
Li Zhongqing
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, 1995 . This paper introduces a discrete scheme for mean curvature motion using a morphological image processing approach. After briefly presenting an axiomatic approach of image processing and the mean curvature PDE, the properties of the proposed scheme are ...
Georges Koepfler, Francine Catt
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Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids
Advanced Nonlinear Studies, 2017 The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
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Continuity of the temperature in a multi-phase transition problem. [PDF]
Math Ann, 2022 Gianazza U, Liao N.
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The Finite Speed of Propagation Property for the Thin Film Equation in Terms of the L¹-Norm
, 2007 We consider the equation u t + (u n u xxx ) x = 0 with 0 ! n ! 3 and establish an estimate for the finite speed of propagation of the support of compactly supported nonnegative solutions.
Josephus Hulshof, Andrey Shishkov
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Ireneo Peral: Forty Years as Mentor
Advanced Nonlinear Studies, 2017 In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene +9 more
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