Results 71 to 80 of about 1,078 (81)

Large Initial Data Global Well-Posedness for a Supercritical Wave Equation [PDF]

arXiv, 2016
We prove the existence of global solutions to the focusing energy-supercritical semilinear wave equation in R^{3+1} for arbitrary outgoing large initial data, after we modify the equation by projecting the nonlinearity on outgoing states.
arxiv  

A scattering-based algorithm for wave propagation in one dimension [PDF]

arXiv, 2017
We present an explicit numerical scheme to solve the variable coefficient wave equation in one space dimension with minimal restrictions on the coefficient and initial data.
arxiv  

Decay of the local energy for the solutions of the critical Klein-Gordon equation [PDF]

arXiv, 2019
In this paper, we prove the exponential decay of local energy for the Klein-Gordon equation with localized critical nonlinearity. The proof relies on generalized Strichartz estimates, and semi-group of Lax-Phillips.
arxiv  

Topological sensitivity based far-field detection of elastic inclusions

Results in Physics, 2018
The aim of this article is to present and rigorously analyze topological sensitivity based algorithms for detection of diametrically small inclusions in an isotropic homogeneous elastic formation using single and multiple measurements of the far-field ...
Tasawar Abbas, Shujaat Khan, Muhammad Sajid, Abdul Wahab, Jong Chul Ye   +4 more
doaj  

Finite time blow up for wave equations with strong damping in an exterior domain [PDF]

arXiv, 2019
We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power type nonlinearity |u|^p. We will establish blow-up results under some conditions on the initial data and the exponent p.
arxiv  

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  

Blow-up of solutions for a viscoelastic equation with nonlinear damping

Open Mathematics, 2008
Zhifeng Yang
doaj   +1 more source

Blow-up analysis for a periodic two-component μ-Hunter-Saxton system. [PDF]

J Inequal Appl, 2018
Guo Y, Xiong T.
europepmc   +1 more source

On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One. [PDF]

J Nonlinear Sci, 2018
Lazzaroni G, Nardini L.
europepmc   +1 more source

Optimal control of nonlinear one-dimensional periodic wave equation with x-dependent coefficients

Open Mathematics, 2011
Li Hengyan, Ji Shuguan
doaj   +1 more source