Results 1 to 10 of about 2,229 (130)

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
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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
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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

Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

Demonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
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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

Heterogeneous Diffusion and Nonlinear Advection in a One-Dimensional Fisher-KPP Problem. [PDF]

Entropy (Basel), 2022
Palencia JLD, Rahman SU, Redondo AN.
europepmc   +1 more source

Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Advanced Nonlinear Studies
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
doaj   +1 more source

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
doaj   +1 more source

Higher integrability for doubly nonlinear parabolic systems. [PDF]

SN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

Open Mathematics, 2017
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj   +1 more source