Results 11 to 20 of about 317 (178)

General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

Open Mathematics, 2021
A nonlinear viscoelastic wave equation with Balakrishnan-Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Choucha Abdelbaki, Boulaaras Salah, Ouchenane Djamel   +2 more
doaj   +1 more source

Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System

Advanced Nonlinear Studies, 2021
We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
doaj   +1 more source

Reversed Stein–Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions

Advanced Nonlinear Studies, 2021
Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
doaj   +1 more source

Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

Open Mathematics, 2023
The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.
Choucha Abdelbaki, Boulaaras Salah Mahmoud, Jan Rashid   +2 more
doaj   +1 more source

Asymptotic properties of critical points for subcritical Trudinger-Moser functional

Advanced Nonlinear Studies, 2023
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
doaj   +1 more source

Global nonexistence of solution for coupled nonlinear Klein-Gordon with degenerate damping and source terms

, 2022
In this article we consider a coupled system of nonlinear Klein-Gordon equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solutions by concavity method.
KHALILI, Zineb, OUCHENANE, Djamel, YAZID, Fares   +2 more
core   +1 more source

Dynamical analysis of a reaction–diffusion mosquito-borne model in a spatially heterogeneous environment

Advances in Nonlinear Analysis, 2023
In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj   +1 more source

Global existence and stability of solution for a p−Kirchhoff type hyperbolic equation with damping and source terms

, 2022
In this paper, we consider a nonlinear p−Kirchhoff type hyperbolic equation with damping and source terms f utt − M Ω |∇u|p dx ∆pu + |ut| m−2 ut = |u| r−2 u.
MAOUNI, Messaoud, OUAOUA, Amar, KHALDI, Aya   +2 more
core   +1 more source

Decay rate of solutions to the Cauchy problem for a coupled system of a viscoelastic wave equations with a strong delay in Rⁿ

, 2023
Using weighted spaces, we establish a general decay rate properties of solutions as T→∞ for a coupled system of a viscoelastic wave equations in Rn under some conditions on g1, g2, ϕ.
BELHADJI, Bochra, CHAILI, Amina, BENIANI, Abderrahmane   +2 more
core   +1 more source

Stability of combination of rarefaction waves with viscous contact wave for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large data

Advances in Nonlinear Analysis, 2022
In this article, we study the large-time behavior of combination of the rarefaction waves with viscous contact wave for a one-dimensional compressible Navier-Stokes system whose transport coefficients depend on the temperature.
Dong Wenchao, Guo Zhenhua
doaj   +1 more source