Results 71 to 80 of about 234 (137)
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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, 2008 . This paper considers a system of coupled second order parabolic and first order hyperbolic equations arising from the age-dependent diffusion population dynamics with an infectious disease.
Chaocheng Huang, Jiongmin Yong
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Analysis of a Darcy flow model with a dynamic pressure saturation relation
, 1998 We consider a new model for groundwater flow. The model differs from previous models in that the saturation-pressure relation is extended with a dynamic term, namely the time derivative of the saturation.
Josephus Hulshof, John R. King
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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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Continuity of the temperature in a multi-phase transition problem. [PDF]
Math Ann, 2022 Gianazza U, Liao N.
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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
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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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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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, 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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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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