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	L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM
	He, Lingbing ; Zhang, Ping
	2010-10-12 ; 2010-10-12
关键词	L-2 decay micro-macro model Fourier transform NAVIER-STOKES EQUATIONS GLOBAL EXISTENCE DUMBBELL MODEL WELL-POSEDNESS WEAK SOLUTIONS Mathematics, Applied
中文摘要	In this paper, we consider the long time decay of the L-2 norm to the global solutions (u,psi) constructed in [F.-H. Lin, C. Liu, and P. Zhang, Comm. Pure Appl. Math., 60 ( 2007), pp. 838-866] for a micro-macro model of polymeric fluids near equilibrium ( 0, M). Under the additional assumption that u(0) is an element of (H) over dot(-k) (R-3), (psi(0) -M)/ root M is an element of L-2 (R-q(3); (H) over dot(-k) (R-x(3))), we prove that (u(t), psi(t)) tends to (0, M) as t goes to infinity with decaying rate parallel to u(t)parallel to(2)(L) <= C (1+t)-b/2 and parallel to phi(t)-M/root M parallel to L-2 <= C(1+t)-(b+1/2) for b = min (K, 3/2. In general, without this additional assumption, we shall present an explicit long time decaying formula for parallel to u(t)parallel to(L2) and parallel to psi(t)-M/root M parallel to(2)(L).
语种	英语 ; 英语
出版者	SIAM PUBLICATIONS ; PHILADELPHIA ; 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81213]
专题	清华大学
推荐引用方式 GB/T 7714	He, Lingbing,Zhang, Ping. L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM[J],2010, 2010.
APA	He, Lingbing,&Zhang, Ping.(2010).L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM..
MLA	He, Lingbing,et al."L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM".(2010).

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