Results 241 to 250 of about 7,450,281 (272)
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General Decay for Semi-Linear Wave Equations with Memory Term and Logarithmic Source
Results in Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dandan Guo, Zhifei Zhang
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MATHEMATICAL BEHAVIOR of SOLUTIONS of P-LAPLACIAN EQUATION with LOGARITHMIC SOURCE TERM
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.
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Journal of Dynamical and Control Systems, 2020
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Salim Messaoudi +2 more
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Salim Messaoudi +2 more
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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
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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
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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
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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
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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
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Blow up phenomenon for a plate equation with logarithmic source term
Applicable AnalysisKhadijeh Baghaei
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Differential Equations and Dynamical Systems, 2022
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Mohammad M. Al-Gharabli +2 more
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Mohammad M. Al-Gharabli +2 more
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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
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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
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Nonlinear Analysis: Real World Applications, 2023
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Wu, Xiulan, Yang, Xiaoxin, Cheng, Libo
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Wu, Xiulan, Yang, Xiaoxin, Cheng, Libo
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