Results 81 to 90 of about 1,608 (149)

Feedback Control of Nonlinear Dissipative Systems by Finite Determining Parameters - A Reaction-diffusion Paradigm

, 2014
We introduce here a simple finite-dimensional feedback control scheme for stabilizing solutions of infinite-dimensional dissipative evolution equations, such as reaction-diffusion systems, the Navier-Stokes equations and the Kuramoto-Sivashinsky equation.
Azouani, Abderrahim, Titi, Edriss S.
core  

A Reaction-Diffusion Model with Spatially Inhomogeneous Delays. [PDF]

J Dyn Differ Equ, 2023
Lou Y, Wang FB.
europepmc   +1 more source

Sharp forced waves of degenerate diffusion equations in shifting environments

Advances in Nonlinear Analysis
This article is concerned with the sharp forced waves for degenerate diffusion equations in a shifting environment. The degeneracy of diffusion usually causes the forced waves to become sharp.
Mei Ming, Ji Shanming, Wang Zejia, Xu Tianyuan, Yin Jingxue   +4 more
doaj   +1 more source

Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. [PDF]

J Math Biol, 2023
Lu MJ, Hao W, Hu B, Li S.
europepmc   +1 more source

Global boundedness and stability of a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities

Advances in Nonlinear Analysis
This study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
doaj   +1 more source

Pattern Formation in Epidemic Model with Media Coverage. [PDF]

Differ Equ Dyn Syst, 2022
Sarker RC, Sahani SK.
europepmc   +1 more source

Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method

Partial Differential Equations in Applied Mathematics
A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided.
G. Yokeswari, I. Paulraj Jayasimman, L. Rajendran, M.E.G. Lyons   +3 more
doaj   +1 more source

Propagation thresholds in a diffusive epidemic model with latency and vaccination. [PDF]

Z Angew Math Phys, 2023
Wang Y, Wang X, Lin G.
europepmc   +1 more source

Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction-Diffusion Model. [PDF]

Qual Theory Dyn Syst, 2023
Zhi S, Niu HT, Su YH, Han X.
europepmc   +1 more source

Existence of global solutions to reaction-diffusion systems with nonhomogeneous boundary conditions via a Lyapunov functional

Electronic Journal of Differential Equations, 2002
Most publications on reaction-diffusion systems of $m$ components ($mgeq 2$) impose $m$ inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10 ] and Hollis [4]).
Said Kouachi
doaj