Abstract
The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.
| Original language | English |
|---|---|
| Pages (from-to) | 39-93 |
| Number of pages | 55 |
| Journal | Probability Theory and Related Fields |
| Volume | 82 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1989 Jun |
| Externally published | Yes |
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ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty
Cite this
Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model. / Funaki, Tadahisa.
In: Probability Theory and Related Fields, Vol. 82, No. 1, 06.1989, p. 39-93.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model
AU - Funaki, Tadahisa
PY - 1989/6
Y1 - 1989/6
N2 - The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.
AB - The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.
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UR - http://www.scopus.com/inward/citedby.url?scp=0009125442&partnerID=8YFLogxK
U2 - 10.1007/BF00340012
DO - 10.1007/BF00340012
M3 - Article
AN - SCOPUS:0009125442
VL - 82
SP - 39
EP - 93
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
SN - 0178-8051
IS - 1
ER -