Results 21 to 30 of about 100,249 (259)
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
doaj +1 more source
A vanishing diffusion limit in a nonstandard system of phase field equations [PDF]
, 2012 We are concerned with a nonstandard phase field model of Cahn-Hilliard type. The model, which was introduced by Podio-Guidugli (Ric. Mat. 2006), describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +3 more
core +3 more sources
Discrete Dynamics in Nature and Society, 2019 This paper establishes the existence of a nontrivial steady-state solution to a parabolic-parabolic coupled system with singular (or logarithmic) sensitivity and nonlinear source arising from chemotaxis.
Yingjie Zhu
doaj +1 more source
Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper deals with the global existence and the global nonexistence of a doubly nonlinear parabolic system coupled via both nonlinear reaction terms and nonlinear boundary flux.
Jian Wang, Yanyan Ge
doaj +1 more source
Quasilinear Parabolic Systems with Nonlinear Boundary Conditions
Journal of Differential Equations, 2000 Let \(\Omega\) be a smoothly bounded domain in \(\mathbb{R}^n\) with unit outward normal \(\eta\), and let \(M_i> 0\), \(\alpha_i\), and \(m_{ij}\) be nonnegative constants for \(i,j=1,\dots, n\). This paper is considered with the initial-boundary value problem \[ \begin{gathered} \frac {\partial u_i}{\partial t} = \nabla(u_i^{\alpha ^i}\nabla u_i ...
Wang, Shu, Wang, Mingxin, Xie, Chunhong
openaire +2 more sources
Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example [PDF]
, 2004 We have studied properties of nonlinear waves in a mathematical model of a predator-prey system with pursuit and evasion. We demonstrate a new type of propagating wave in this system. The mechanism of propagation of these waves essentially depends on the
Biktashev, V. N. +3 more
core +2 more sources
Terminal value problem for nonlinear parabolic and pseudo-parabolic systems
Discrete and Continuous Dynamical Systems - S, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ho Duy Binh +3 more
openaire +2 more sources
Higher integrability for doubly nonlinear parabolic systems [PDF]
Journal de Mathématiques Pures et Appliquées, 2020 This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient. The main result holds true for a range of parameters suggested by other nonlinear parabolic systems.
Boegelein, Verena +4 more
openaire +2 more sources
Penalty method for a class of differential nonlinear system arising in contact mechanics
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 The main goal of this paper is to study a class of differential nonlinear system involving parabolic variational and history-dependent hemivariational inequalities in Banach spaces by using the penalty method.
Xu Chu +3 more
doaj +1 more source
Global existence of the harmonic map heat flow into Lorentzian manifolds
, 2019 We investigate a parabolic-elliptic system for maps $(u,v)$ from a compact Riemann surface $M$ into a Lorentzian manifold $N\times{\mathbb{R}}$ with a warped product metric.
Al'ber +32 more
core +1 more source