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General Decay for Semi-Linear Wave Equations with Memory Term and Logarithmic Source

Results in Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dandan Guo, Zhifei Zhang
exaly   +2 more sources

MATHEMATICAL BEHAVIOR of SOLUTIONS of P-LAPLACIAN EQUATION with LOGARITHMIC SOURCE TERM

open access: yes, 2019
For the p-Laplacian wave equation with logarithmic nonlinearity of initial value problem is analyzed. Focusing on the interplay between damped term and logarithmic source, we discuss the local existence of solutions. © 2019 Yildiz Technical University. All Rights Reserved.
Pışkın E., Irkil N.
core   +7 more sources

Decay Results for a Viscoelastic Problem with Nonlinear Boundary Feedback and Logarithmic Source Term

Journal of Dynamical and Control Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Messaoudi   +2 more
exaly   +3 more sources

The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term

Mathematical Methods in the Applied Sciences, 2021
We investigate the limiting behavior of the Riemann solution to the isentropic Euler equations for logarithmic equation of state with the Coulomb‐like friction term. The formation of vacuum state and delta shock waves are identified and analyzed when the pressure vanishes. Unlike the homogeneous case, the Riemann solution is no longer self‐similar.
T Raja Sekhar, Anupam Sen
exaly   +2 more sources

Global existence and stability of solutions for Kirchhoff-type parabolic system with logarithmic source term

open access: yes, 2022
This paper deals with the initial-boundary value problem for Kirchhoff-type parabolic system with logarithmic source term. We discuss the global existence and exponential energy decay estimates of weak solutions under some conditions by employing potential method.
Comert, Tugrul, Piskin, Erhan
core   +3 more sources

Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term

Journal of Evolution Equations, 2017
The authors deal with the existence and decay of solutions of the nonlinear plate problem \[ \begin{aligned} & u_{tt}+\Delta^2u+u+ h(u_t) = ku\ln|u|,\;x\in \Omega\subset \mathbb{R}^2,\;t>0; \\ & u(x,t)=\frac{\partial u}{\partial \nu}(x,t)=0,\;x\in \partial \Omega,\;t>0;\quad u(x,0)=u_0(x),\;u_t(x,0)=u_1(x),\;x\in \Omega.
Salim Messaoudi, Mohammad Al-Gharabli
exaly   +2 more sources

Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term

Differential Equations and Dynamical Systems, 2022
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Mohammad M. Al-Gharabli   +2 more
openaire   +2 more sources

GENERAL DECAY OF THE SOLUTION ENERGY OF AN AXIALLY MOVING VISCOELASTIC BEAM WITH LOGARITHMIC SOURCE TERMS

Advances in Mathematics: Scientific Journal, 2022
In this paper, we study the stabilization of an axially moving viscoelastic beam with Logarithmic Source Terms. We obtain an asymptotic stability result of global solution, for certain class of relaxation functions. The proofs is obtained by using the multiplier technique. We extend a recent result in Kelleche and Tatar and Khemmoudj \cite{l12}.
T. Belgacem, A. Kelleche, T. Hadj Ammar
openaire   +1 more source

Global well-posedness of wave equation with weak and strong damping terms p-Laplacian and logarithmic nonlinearity source term

Nonlinear Analysis: Real World Applications, 2023
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Wu, Xiulan, Yang, Xiaoxin, Cheng, Libo
openaire   +2 more sources

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