Diffusion with interactions between two types of particles and pressureless gas equations. (Q1420173)
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: Diffusion with interactions between two types of particles and pressureless gas equations. |
scientific article; zbMATH DE number 2034214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion with interactions between two types of particles and pressureless gas equations. |
scientific article; zbMATH DE number 2034214 |
Statements
Diffusion with interactions between two types of particles and pressureless gas equations. (English)
0 references
28 January 2004
0 references
A pressureless gas system \(S(d,\nu )\) with viscosity \(\nu\) is considered and a new probabilistic solution for this system is given. An older construction gives a unique weak solution for \(S(d,\nu )\), \(\nu \neq 0\), via stochastic differential equation \(EDS(\nu )\). However, the study of the limit \(EDS(\nu )\) as \(\nu \to \infty\) is very hard. The new approach given in this paper is useful in this direction.
0 references
presureless gas system
0 references
stochastic differential equation
0 references
Brownian motion
0 references
