Blow-up dynamics of L 2 solutions for the Davey-Stewartson system

Verfasser / Beitragende:
[Shi Zhu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/3(2015-03-01), 411-429
Format:
Artikel (online)
ID: 605461600
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024 7 0 |a 10.1007/s10114-015-4349-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4349-7 
100 1 |a Zhu  |D Shi  |u Department of Mathematics, Sichuan Normal University, 610066, Chengdu, P. R. China  |4 aut 
245 1 0 |a Blow-up dynamics of L 2 solutions for the Davey-Stewartson system  |h [Elektronische Daten]  |c [Shi Zhu] 
520 3 |a We study the blow-up solutions for the Davey-Stewartson system (D-S system, for short) in L x 2 (ℝ2). First, we give the nonlinear profile decomposition of solutions for the D-S system. Then, we prove the existence of minimal mass blow-up solutions. Finally, by using the characteristic of minimal mass blow-up solutions, we obtain the limiting profile and a precisely mass concentration of L 2 blow-up solutions for the D-S system. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Davey-Stewartson system  |2 nationallicence 
690 7 |a minimal mass blow-up solution  |2 nationallicence 
690 7 |a profile decomposition  |2 nationallicence 
690 7 |a limiting profile  |2 nationallicence 
690 7 |a mass concentration  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 411-429  |x 1439-8516  |q 31:3<411  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4349-7  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4349-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Zhu  |D Shi  |u Department of Mathematics, Sichuan Normal University, 610066, Chengdu, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 411-429  |x 1439-8516  |q 31:3<411  |1 2015  |2 31  |o 10114