Results 31 to 40 of about 526 (46)

A coupled system of mKdV-KdV equations with damping

Applied Mathematics in Science and Engineering
In this paper, we study the influence of a damping term on the dynamics of a coupled Korteweg–de Vries type system, namely the mKdV–KdV system, posed on the real line.
Aissa Boukarou, Khaled Zennir, Keltoum Bouhali, Safa M. Mirgani   +3 more
doaj   +1 more source

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Existence of global solutions to a quasilinear wave equation with general nonlinear damping

Electronic Journal of Differential Equations, 2002
In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
doaj  

Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

, 2020
We are concerned with the suitability of the main models of compressible fluid dynamics for the Lighthill problem for shock diffraction by a convex corned wedge, by studying the regularity of solutions of the problem, which can be formulated as a free ...
Chen, Gui-Qiang, Feldman, Mikhail, Hu, Jingchen, Xiang, Wei   +3 more
core  

Nonlinear wave equations

, 2003
The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions, useful in the ...
Tataru, Daniel
core   +1 more source

Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions

Advances in Difference Equations, 2011
A second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the nonlocal conditions is investigated. This model covers many of the existing models in the literature. It extends the integer order
Tatar Nasser-eddine
doaj  

Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system

, 2006
Local well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+\epsilon} and the Klein - Gordon part to H^{{1/4}-\epsilon} for 0 < \epsilon < 1/4, and global well-posedness, if ...
Pecher, Hartmut
core   +3 more sources

Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

Boundary Value Problems, 2011
In this paper, we consider the system of nonlinear viscoelastic equations u t t - Δ u + ∫ 0 t g 1 ( t - τ ) Δ u ( τ ) d τ - Δ u t = f 1 ( u , v ) , ( x , t )
Liang Fei, Gao Hongjun
doaj  

The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions

, 2010
This paper is concerned with the existence and the regularity of global solutions to the linear wave equation associated with two-point type boundary conditions.
Dinh, Alain Pham Ngoc, Long, Nguyen Thanh, Ngoc, Le Thi Phuong, Truong, Le Xuan   +3 more
core  

On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]

J Dyn Differ Equ, 2018
Kopylova E.
europepmc   +1 more source