# Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms

## Related Articles

- A Global Solution Curve for a Class of Free Boundary Value Problems Arising in Plasma Physics. Korman, Philip // Applied Mathematics & Optimization;Feb2015, Vol. 71 Issue 1, p25
We study the existence and multiplicity of solutions and the global solution curve of the following free boundary value problem, arising in plasma physics, see Temam (Arch Ration Mech Anal 60(1):51-73, ), and Berestycki and Brezis (Nonlinear Anal. 4(3):415-436, ): find a function $$u(x)$$ and a...

- Global Well-Posedness for the Generalized Large-Scale Semigeostrophic Equations. Çalik, Mahmut; Oliver, Marcel; Vasylkevych, Sergiy // Archive for Rational Mechanics & Analysis;Mar2013, Vol. 207 Issue 3, p969
We prove existence and uniqueness of global classical solutions to the generalized large-scale semigeostrophic equations with periodic boundary conditions. This family of Hamiltonian balance models for rapidly rotating shallow water includes the L model derived by R. Salmon in 1985 and its 2006...

- Blow up of positive initial-energy solutions to systems of nonlinear wave equations with degenerate damping and source terms. BENAISSA, Abbes; OUCHENANE, Djamel; ZENNIR, Khaled // Nonlinear Studies;2012, Vol. 19 Issue 4, p523
Blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms supplemented with the initial and Dirichlet boundary conditions is shown in [13], in a bounded domain O ? Rn, where n = 1,2,3 and the initial energy is negative. Our result extends this previous...

- Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms. Pişkin, Erhan // Advances in Mathematical Physics;2/22/2015, Vol. 2015, p1
We consider initial-boundary conditions for coupled nonlinear wave equations with damping and source terms. We prove that the solutions of the problem are unbounded when the initial data are large enough in some sense.

- Global existence, decay and blow up solutions for coupled nonlinear wave equations with damping and source terms. PİŞKİN, Erhan; POLAT, Necat // Turkish Journal of Mathematics;Jul2013, Vol. 37 Issue 3, p633
We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some...

- Existence of time periodic solutions for a damped generalized coupled nonlinear wave equations. Fang Shao-mei; Guo Bo-ling // Applied Mathematics & Mechanics;Jun2003, Vol. 24 Issue 6, p673
The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied. By using the Galerkin method to construct the approximating sequence of time periodic solutions, a priori estimate and Laray-Schauder fixed point theorem to...

- A semilinear wave equation with space-time dependent coefficients and a memory boundarylike antiperiodic condition: Regularity and stability. Lê, Út V. // Journal of Mathematical Physics;Oct2010, Vol. 51 Issue 10, p103504
This paper deals with regularity and stability of solutions to an initial-boundary value problem of a semilinear wave equation. This equation admits space-time dependent coefficients and a memory boundarylike antiperiodic condition. For regularity or existence of a unique strong solution, the...

- Well-posedness for a class of Kirchhoff equations with damping and memory terms. HUA CHEN; GONGWEI LIU // IMA Journal of Applied Mathematics;Dec2015, Vol. 80 Issue 6, p1808
The initial boundary value problem for a non-linear wave equation of Kirchhoff type with damping and memory terms in the bounded domain is considered. The local, global existence and exponential decay result are discussed under certain conditions. We also prove that, under certain conditions,...

- Asymptotic Behavior of Global Solutions for Some Nonlinear Wave Equation. Yongxian YAN // Applied Mechanics & Materials;2014, Issue 638-640, p1691
In this paper we study the asymptotic behavior of the global solutions to the initial-boundary value problem of the nonlinear wave equation with damping term by applying a difference inequality.