Results 61 to 70 of about 249 (171)

Small noise asymptotic expansions for stochastic pde's.i : The case of a dissipative polynomially bounded non linearity [PDF]

, 2010
We study a reaction-diusion evolution equation perturbed by a Gaussian noise. Here the leading operator is the innitesimal generator of a C0-semigroup of strictly negative type, the nonlinear term has at most polynomial growth and is such that the whole ...
Albeverio, Sergio, Elisa Mastrogiacomo, Mastrogiacomo, Elisa, Sergio Albeverio, Di Persio, Luca   +4 more
core   +1 more source

Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

Advances in Nonlinear Analysis
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
doaj   +1 more source

Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit

Open Mathematics, 2018
The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting, Wang Shu, Xu Wen-Qing, Liu Mingshuo   +3 more
doaj   +1 more source

Invariant Regions and Global Existence of Uniqueness Weak Solutions for Tridiagonal Reaction-Diffusion Systems [PDF]

In this paper we study the existence of uniqueness global weak solutions for m × m reaction-diffusion systems for which two main properties hold: the positivity of the weak solutions and the total mass of the components are preserved with time. Moreover,
BARROUK, Nabila, ABDELMALEK, Karima, REDJOUH, Mounir   +2 more
core   +1 more source

Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems

Advanced Nonlinear Studies, 2021
This paper analyzes the behavior of the positive solution θε{\theta_{\varepsilon}} of the perturbed ...
Li Wan-Tong, López-Gómez Julián, Sun Jian-Wen   +2 more
doaj   +1 more source

CNN Modelling of Nano-Inclusions [PDF]

, 2015
Piezoelectrical material with heterogeneities of nano-inclusions is considered in the case when it is subjected to time harmonic electro-mechanical load. The model is defined by the system of two partial differential equations and the boundary conditions
Slavova, Angela, Markova, Maya
core   +1 more source

Propagation of calcium waves in a bistable buffered system with nonlocal dispersal

Advanced Nonlinear Studies
We investigate wave propagation in a bistable buffered system with nonlocal dispersal. A central question in this problem is the effect of stationary buffers on calcium waves.
Guan Changchang, Wu Shi-Liang
doaj   +1 more source

Traveling waves for bistable reaction–diffusion–convection equations with discontinuous density-dependent coefficients

Advances in Nonlinear Analysis
Continuing our previous study (P. Drábek, S. Jung, E. Ko, and M. Zahradníková, Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients, J. Math. Anal. Appl. 539 (2024), no.
Drábek Pavel, Jung Soyeun, Ko Eunkyung, Zahradníková Michaela   +3 more
doaj   +1 more source

Dynamics in a Discrete Nagumo Equation - Spatial Topological Chaos

, 1994
AMS(MOS) subject classifications. 34A35, 34C35, 35K57, 58F10, 58F13.In this paper we show the existence of spatial topological chaos in a discrete Nagumo equation, and discuss the similarities and differences between the discrete Nagumao equation and the
Shen, Wenxian, Chow, Shui-Nee
core  

Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment

Advances in Nonlinear Analysis
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat.
Liu Jiaxing, Wang Jinliang
doaj   +1 more source