Results 71 to 80 of about 200 (160)

The quasilinear parabolic kirchhoff equation

Open Mathematics, 2017
In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
doaj   +1 more source

Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces

Advanced Nonlinear Studies, 2023
We survey some ideas regarding the application of the Aleksandrov reflection method in partial differential equation to extrinsic geometric flows of Euclidean hypersurfaces.
Chow Bennett
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Some existence results for a class of parabolic equations with nonlinear boundary conditions

Using the Galerkin approximation and a family of potential wells, we establish the existence of a global weak solution under appropriate conditions.
LAMAIZI, Anass, EL AHMADI, Mahmoud, BARGHOUTHE, Mohammed, DARHOUCHE, Omar   +3 more
core   +1 more source

The Minty-Browder theorem for nonlinear elliptic equations involving p-Laplacian with singular coefficients under form boundary conditions

We consider the elliptic parabolic partial differential equation with singular coefficients under the rather general form boundary conditions. We proved that the bounded operator associated with the elliptic equation satisfies monotony, coercivity, and ...
YAREMENKO, Mykola
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
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Existence of periodic solutions to fractional p(z)-Laplacian parabolic problems

We consider a class of nonlinear parabolic initial boundary value problems having the fractional p(z)-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish theexistence of a time ...
MELLIANI, Said, ZINEDDAINE, Ghizlane, KASSIDI, Abderrazak   +2 more
core   +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
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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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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

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