Results 71 to 80 of about 206 (158)

A parabolic quasi-variational inequality arising in a superconductivity model [PDF]

, 2000
35K85 (primary), 35K55, 35R35 (secondary)We consider the existence of solutions for a parabolic quasilinear problem with a gradient constraint which threshold depends on the solution itself. The problem may be considered as a quasi-variational inequality
Rodrigues, José Francisco, Santos, Lisa
core   +1 more source

Drift perturbation’s influence on traveling wave speed in KPP-Fisher system

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
doaj   +1 more source

The impact factors of the risk index and diffusive dynamics of a SIS free boundary model. [PDF]

Infect Dis Model, 2022
Tong Y, Ahn I, Lin Z.
europepmc   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values

Advanced Nonlinear Studies, 2020
In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δ⁢u+|u|α⁢u=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u⁢(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab, Tayachi Slim, Weissler Fred B.   +2 more
doaj   +1 more source

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

Calc Var Partial Differ Equ, 2021
Bögelein V, Heran A, Schätzler L, Singer T.   +3 more
europepmc   +1 more source

Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type [PDF]

, 2010
A Cauchy problem for a parabolic-elliptic system of drift-di usion type is considered. The problem is formally of the form Ut = r (rU Ur( ) 1U): This system describes a mass-conserving aggregation phenomenon including gravitational collapse and ...
Yoshikazu, Giga, Takasi, Senba, Noriko, Mizoguchi   +2 more
core   +1 more source

Critical mass for a no-flux-Dirichlet chemotaxis model with indirect signal production mechanism

Advances in Nonlinear Analysis
In this paper, we investigate the no-flux-Dirichlet parabolic–elliptic–ODE system with indirect signal production mechanismut*=Δu*−∇⋅u*∇v*,x∈Ω,t>0,0=Δv*−kv*+w*,x∈Ω,t>0,τ*wt*=−δw*+u*,x∈Ω,t>0,∂u*∂ν−u*∂v*∂ν=v*=0,x∈∂Ω,t>0,u*(x,0)=u0*(x),w*(x,0)=w0*(x),x∈Ω, $$
Yang Lan
doaj   +1 more source

© Hindawi Publishing Corp. REMARKS ON NONLINEAR BIHARMONIC EVOLUTION EQUATION OF KIRCHHOFF TYPE IN NONCYLINDRICAL DOMAIN

, 2002
We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the
L. A. Medeiros, H. R. Clark, J. Límaco
core  

Global existence and blow-up for a mixed local and nonlocal parabolic equation with logarithmic nonlinearity

Advances in Nonlinear Analysis
This paper is devoted to dealing with the global existence and blow-up property for a mixed local and nonlocal parabolic equation with logarithmic nonlinear source and different initial energy levels.
Liu Dengming, Li Na
doaj   +1 more source