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	Decay Estimates for Hyperbolic Balance Laws
	Kawashima, Shuichi ; Yong, Wen-An
	2010-10-12 ; 2010-10-12
关键词	Hyperbolic balance laws entropy stability condition global smooth solutions decay estimates GLOBAL EXISTENCE SMOOTH SOLUTIONS CONVEX ENTROPY TIME BEHAVIOR SYSTEMS Mathematics, Applied Mathematics
中文摘要	This work is concerned with time-decay properties of small-amplitude global smooth solutions to the initial value problem for hyperbolic systems of balance laws admitting an entropy and satisfying the stability condition. By using energy methods in both the physical space and the Fourier space, we obtain the optimal decay estimates of solutions and their derivatives in the L-2-norm up to order s - 1, provided that the initial data are in H-s. A key ingredient in our analysis is a time-weighted energy estimate, leading to a decay estimate for multi-dimensional problems without assuming the L-1 property on initial data.
语种	英语 ; 英语
出版者	HELDERMANN VERLAG ; LEMGO ; LANGER GRABEN 17, 32657 LEMGO, GERMANY
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81205]
专题	清华大学
推荐引用方式 GB/T 7714	Kawashima, Shuichi,Yong, Wen-An. Decay Estimates for Hyperbolic Balance Laws[J],2010, 2010.
APA	Kawashima, Shuichi,&Yong, Wen-An.(2010).Decay Estimates for Hyperbolic Balance Laws..
MLA	Kawashima, Shuichi,et al."Decay Estimates for Hyperbolic Balance Laws".(2010).

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