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Seminar

Language	English
From	2012/01/10 15:00
To	2012/01/10 16:00
Place	Room 552, Building No.3, Faculty of Science, Kyoto University
Seminar Name	NLPDE Seminar
Title	Uniform well-posedness and Inviscid limit for the Benjamin-Ono-Burgers equation
Field	Analysis
Speakers	Zihua Guo
Affiliation	北京大学
Abstract	In this talk I will talk about the inviscid limit of Bejamin-Ono-Burgers (BOB) equation. We prove that the Cauchy problem for the BOB equation is uniformly (with respect to the viscid parameter) globally well-posed in $H^s$ ( $s \geq 1$ ) for all. Moreover, we show that the solution converges to that of Benjamin-Ono equation in $C([0,T]:H^s)$ ( $s \geq 1$ ) for any $T>0$ as $\ve\to 0$ . Our results give a new proof without gauge transform for the global well-posedness of BO equation in $H1$ which was first obtained by Tao (\cite{TaoBO}), and obtain the inviscid limit behavior in $H1$ .
Link	http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html