We study a nonlinear wave equation on the two-dimensional sphere with a blowing-up nonlinearity. The existence and uniqueness of a local regular solution are established. Also, the behavior of the solutions is examined. We show that a large class of solutions to the initial value problem quench in f
Nonlinear Standing and Rotating Waves on the Sphere
✍ Scribed by Christoph Gugg; Timothy J Healey; Hansjörg Kielhöfer; Stanislaus Maier-Paape
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 411 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We consider the resonant absorption of surface waves in a cold electron plasma by taking into account the nonlinear change in the electron density profile which is caused by the wave pressure in the transition layer. Equations, which describe the time evolution of the amplitudes of the
Nonlinear behaviour is ubiquitous in nature and the interdisciplinary field of Nonlinear Dynamics and complexity consists of a large body of theoretical and experimental work wit many applications. It is the aim of these new series to provide reviews of Nonlinear Dynamics and Complexity where resear
A standing wave in front of a seawall may reach a height more than twice of its incident component. When excess pore pressure occurs, it may even induce seabed instability, hence endangering the structure. This issue was studied previously using only linear wave theory. In this paper, standing-wave
## Abstract This paper is concerned with a nonlinear defocusing fourth‐order dispersive Schrödinger equation with unbounded potentials which models propagation in fiber arrays. We analyze the global existence of the solution and also obtain the existence of the standing waves for the system. Furthe