Upper bound of weak-limitation for the Gross–Pitaevskii equation

This paper is concerned with the blow-up solutions of Gross–Pitaevskii equation. We obtain the upper bound of weak-limitation for the blow-up solutions by using the method of Cazenave (2003) [3] as well as the concentration compact principle.

Saved in:
Bibliographic Details
Published inApplied mathematics and computation Vol. 217; no. 2; pp. 488 - 494
Main Authors Jiang, Yi, Zhu, Shihui
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.09.2010
Elsevier
Subjects
Blow-up solution
Bose–Einstein condensate
Computation
Concentration compact principle
Exact sciences and technology
Gross–Pitaevskii equation
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Upper bounds
Weak-limitation
Bose–Einstein condensate
Gross–Pitaevskii equation
Blow-up solution
Weak-limitation
Concentration compact principle
Upper bound
Numerical analysis
Applied mathematics
Gross-Pitaevskii equation
Gross Pitaevskii equation
Bose-Einstein condensate
Online AccessGet full text

Cover

More Information
Summary:This paper is concerned with the blow-up solutions of Gross–Pitaevskii equation. We obtain the upper bound of weak-limitation for the blow-up solutions by using the method of Cazenave (2003) [3] as well as the concentration compact principle.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.05.081