Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations (Q2724979)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations |
scientific article; zbMATH DE number 1618517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations |
scientific article; zbMATH DE number 1618517 |
Statements
Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations (English)
0 references
29 October 2001
0 references
blow up
0 references
stochastic nonlinear Schrödinger equation
0 references
white noise
0 references
singular solution
0 references
numerical simulations
0 references
This paper considers theoretical and numerical aspects of the stochastic nonlinear Schrödinger equation with both additive and multiplicative space-time white noise in Stratonovich form.NEWLINENEWLINENEWLINEExistence and uniqueness results are given and the influence of noise on the ``blow up'' phenomenon is investigated. In particular, it is shown that in the presence of additive noise all initial data yields a singular solution.NEWLINENEWLINENEWLINESome numerical simulations are presented in which there is an attempt to preserve symplecticity.
0 references
