Results 21 to 30 of about 118 (113)

Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models

open access: yesAdvanced Nonlinear Studies, 2022
For studying the evolution of the transverse deflection of an extensible beam derived from the connection mechanics, we investigate the initial boundary value problem of nonlinear extensible beam equation with linear strong damping term, nonlinear weak ...
Yang Chao   +3 more
doaj   +1 more source

Global nonexistence of solutions to a logarithmic nonlinear wave equation with infinite memory and delay term

open access: yes, 2023
As a continuity to the study by M. Kafini [24], we consider a logarithmic nonlinear wave condition with delay term. We obtain a blow-up result of solutions under suitable conditions.
OUCHENANE, Djamel, BOUREGA, Abdeldjabar
core   +1 more source

E8 spectral curves

open access: yesProceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020
Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley   +1 more source

Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions

open access: yesAdvances in Nonlinear Analysis, 2023
In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

open access: yesAdvances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed   +2 more
doaj   +1 more source

Exponential growth of solutions with L_p-norm of a nonlinear viscoelastic wave equation with strong damping and source and delay terms

open access: yes, 2023
In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and delay terms. We show the exponential growth of solutions with Lₚ-norm. i.e.
OUCHENANE, Djamel   +3 more
core   +1 more source

An accurate and efficient local one-dimensional method for the 3D acoustic wave equation

open access: yesDemonstratio Mathematica, 2022
We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
doaj   +1 more source

Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers

open access: yesForum of Mathematics, Pi, 2021
The article studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations given the knowledge of an associated source-to-solution map.
Ali Feizmohammadi   +2 more
doaj   +1 more source

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

open access: yes, 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   +2 more
core   +1 more source

Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects

open access: yesAdvances in Nonlinear Analysis, 2023
We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
doaj   +1 more source

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