Results 21 to 30 of about 289 (126)

Unsteady flow of Bingham fluid in a thin layer with mixed boundary conditions [PDF]

open access: yes, 2022
In this paper we consider the dynamic system for Bingham fluid in a three-dimensional thin domain with Fourier and Tresca boundary condition. We study the existence and uniqueness results for the weak solution, then we establish its asymptotic behavior ...
BENSERIDI, Hamid   +2 more
core   +1 more source

Local existence and blow up of solutions to a logarithmic nonlinear wave equation with time-varying delay [PDF]

open access: yes, 2023
In this work, we are concerned with a problem of a logarithmic nonlinear wave equation with time-varying delay term. We established the local existence result and we proved a blow up result for the solution with negative initial energy under suitable ...
OUCHENANE, Djamel   +3 more
core   +1 more source

Stabilization of a population dynamic model with delay term by a boundary dynamical control [PDF]

open access: yes, 2023
We consider a population dynamic system with delay term and nonlocal boundary condition. The semigroup theory combined with the Banach fixed point theorem lead to the well posedness of the problem.
TRAORE, Amidou, TRAORE, Oumar
core  

Well-posedness and exponential decay for a laminated beam with distributed delay term [PDF]

open access: yes, 2022
In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier’s law effective in the rotation angle ...
Abdelhak DJEBABLA, Abdelhak DJEBABLA   +2 more
core   +1 more source

Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity

open access: yesJournal of Function Spaces, Volume 8, Issue 1, Page 17-54, 2010., 2010
The present work is devoted to the study of homogenization of the weakly damped wave equation ∫Ωρε∂2uε∂t2(t)⋅υdx+2ε2μ∫ΩfεEij(∂uε∂t(t))Eij(υ)dx+ε2λ∫Ωfεdiv(∂uε∂t(t))div υdx+ϑ∫Ωfεdiv(uε(t))divυdx=∫Ωf(t) · υdx for all υ=(υ1, υ2, υ3) ∈ Vε(0 < t < T), with initial conditions uε(0)=∂uε∂t(0)=ω (the origin in ℝ3). Convergence homogenization results are achieved
Gabriel Nguetseng   +3 more
wiley   +1 more source

Optimal decay rates for the acoustic wave motions with boundary memory damping [PDF]

open access: yes, 2020
A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered.
BENOMAR, Khalida, BENAISSA, Abbes
core   +1 more source

Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

open access: yesAdvances in Nonlinear Analysis, 2023
We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
doaj   +1 more source

Reiterated homogenization of nonlinear monotone operators in a general deterministic setting

open access: yesJournal of Function Spaces, Volume 7, Issue 2, Page 121-152, 2009., 2009
We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence.
Dag Lukkassen   +4 more
wiley   +1 more source

On the viscoelastic equation with Balakrishnan - Taylor damping and nonlinear boundary/interior sources with variable-exponent nonlinearities [PDF]

open access: yes, 2020
This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping and nonlinear boundary interior sources with variable exponents.
RAHMOUNE, Abita   +1 more
core   +1 more source

Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity

open access: yesAdvanced Nonlinear Studies, 2023
We consider the asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by Bao et al. [Monge-Ampère equation on exterior domains, Calc. Var PDE.
Liu Zixiao, Bao Jiguang
doaj   +1 more source

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