✦ LIBER ✦

Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation

✍ Scribed by Yang Zhijian

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 113 KB
Volume: 21
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19981110)21:16<1467::aid-mma968>3.0.co;2-k

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by B. BrosowskıÍ

n this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation u RR

📜 SIMILAR VOLUMES

Existence and non-existence of global so

Existence and non-existence of global solutions for a class of non-linear wave equations

✍ Chen Guowang; Yang Zhijian 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 2 views

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con

Existence and Uniqueness of a Solution t

Existence and Uniqueness of a Solution to the Cauchy Problem for the Damped Boussinesq Equation

✍ V. Varlamov 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 499 KB 👁 2 views

## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for

Global existence, asymptotic behaviour,

Global existence, asymptotic behaviour, and global non-existence of solutions for damped non-linear wave equations of Kirchhoff type in the whole space

✍ Kosuke Ono 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB 👁 1 views

We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of Kirchho! type in the whole space: , and '0, with initial data u(x, 0)"u (x) and u R (x, 0)"u (x).

The Existence of the Global Generalized

The Existence of the Global Generalized Solution of the System of Equations Describing Suspension Motion

✍ O. Anoshchenko; A. Boutet de Monvel-Berthier 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 339 KB 👁 1 views

The paper deals with an initial boundary value problem for the system of equations describing suspension motion in the case of specular reflecting boundary of the domain. A definition of a global generalized solution of Hopf class is given and its existence proved.

Existence and Uniqueness of Solutions of

Existence and Uniqueness of Solutions of the Equilibrium Equations for a Class of Nonlinearly Elastic Materials

✍ H.W. Engl; C. Stangl 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 323 KB 👁 1 views

On Global Existence, Asymptotic Stabilit

On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

✍ Kosuke Ono 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB 👁 1 views

We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.