標題: WKB analysis of the Schrodinger-KdV system
作者: Lin, Chi-Kun
Segata, Jun-ichi
應用數學系
數學建模與科學計算所(含中心)
Department of Applied Mathematics
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
關鍵字: Zero dispersion limit;WKB analysis;System of dispersive equations;Well-posedness
公開日期: 1-六月-2014
摘要: We consider the behavior of solutions to the water wave interaction equations in the limit epsilon -> 0(+). To justify the semiclassical approximation, we reduce the water wave interaction equation into some hyperbolic-dispersive system by using a modified Madelung transform. The reduced system causes loss of derivatives which prevents us to apply the classical energy method to prove the existence of solution. To overcome this difficulty we introduce a modified energy method and construct the solution to the reduced system. (c) 2014 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.jde.2014.03.001
http://hdl.handle.net/11536/24185
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.03.001
期刊: JOURNAL OF DIFFERENTIAL EQUATIONS
Volume: 256
Issue: 11
起始頁: 3817
結束頁: 3834
顯示於類別:期刊論文


文件中的檔案:

  1. 000334727000013.pdf