Results 11 to 20 of about 7,450,281 (272)

Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term [PDF]

Advances in Nonlinear Analysis, 2019
The main goal of this work is to investigate the initial boundary value problem of nonlinear wave equation with weak and strong damping terms and logarithmic term at three different initial energy levels, i.e., subcritical energy E(0) < d, critical ...
Lian Wei, Xu Runzhang
doaj   +3 more sources

Global Solutions for a Nonlocal Problem with Logarithmic Source Term [PDF]

Sahand Communications in Mathematical Analysis
The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem$$ u_{tt}- M\left(\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u + \delta u_{t}= |u|^{\rho-2}u \log|u|, \quad ...
Eugenio Lapa
doaj   +2 more sources

Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms [PDF]

Advances in Difference Equations, 2021
In this work, we investigate blowup phenomena for nonlinearly damped viscoelastic equations with logarithmic source effect and time delay in the velocity.
Sun-Hye Park
doaj   +2 more sources

Numerical and Theoretical Stability Study of a Viscoelastic Plate Equation with Nonlinear Frictional Damping Term and a Logarithmic Source Term [PDF]

Mathematical and Computational Applications, 2022
This paper is designed to explore the asymptotic behaviour of a two dimensional visco-elastic plate equation with a logarithmic nonlinearity under the influence of nonlinear frictional damping. Assuming that relaxation function g satisfies g′(t)≤−ξ(t)G(g(
Mohammad M. Al-Gharabli, Adel M. Almahdi, Maher Noor, Johnson D. Audu   +3 more
doaj   +2 more sources

Blow up of Solution for a Nonlinear Viscoelastic Problem with Internal Damping and Logarithmic Source Term

Вестник КазНУ. Серия математика, механика, информатика, 2022
This paper is concerned with blow up of weak solutions of the following nonlinear viscoelastic problem with internal damping and logarithmic source term |ut|ρutt + M(∥u∥2)(-∆u) - ∆utt + Z0t g(t - s)∆u(s)ds + ut = u|u|p R-2 ln |u|k R with Dirichlet ...
J. Ferreira, M. Shahrouzi, S. Cordeiro, D. Rocha   +3 more
doaj   +2 more sources

Blow-up phenomena for a damped wave equation with logarithmic source term and variable-exponents [PDF]

Theoretical and Applied Mechanics
This paper investigates the wave equation with variable-exponent nonlinearity and logarithmic source term, given by the following: utt − Δu + $ aut|ut|^{m(・)−2} $ = $ bu|u|^{p(・)−2} $ ln |u|, where a and b are positive constants, and the functions m(・)
Trigui Mohammed Y., Saadaoui Mohamed
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A two-stage hierarchical runoff bias correction framework for observation-constrained river flow reconstruction [PDF]

Scientific Reports
Accurate reconstruction of long-term river flow across all stream orders is essential for managing water resources. However, modeling simulations often exhibit significant biases, and traditional corrections at individual gauging stations typically ...
Zhiwen Xiong, Jiajun Jiang, Li Tang
doaj   +2 more sources

The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Messaoudi, Mohammad Al-Gharabli
exaly   +3 more sources

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +2 more sources

The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term

Electronic Research Archive, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gongwei Liu
exaly   +4 more sources