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	Zero reaction limit for hyperbolic conservation laws with source terms
	Fan, HT ; Jin, S ; Teng, ZH
	2000
关键词	BALANCE LAWS WAVES
英文摘要	In this paper we study the zero reaction limit of the hyperbolic conservation law with stiff source term partial derivative (t)u + partial derivative (x)f(u) = 1/epsilonu(1-u(2)). For the Cauchy problem to the above equation, we prove that as epsilon --> 0, its solution converges to piecewise constant (+/-1) solution, where the two constants are the two stable local equilibria. The constants are separated by either shocks that travel with speed 1/2(f(1) - f(-1)), as determined by the Rankine-Hugoniot jump condition, or a non-shock discontinuity that moves with speed f'(0), where 0 is the unstable equilibrium Our analytic tool is the method of generalized characteristics. Similar results for more general source term 1/epsilong(u), having finitely many simple zeros and satisfying ug(u) < 0 for large \u\, are also given. (C) 2000 Academic Press.; Mathematics; SCI(E); 12; ARTICLE; 2; 270-294; 168
语种	英语
出处	SCI
出版者	微分方程杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/211965]
专题	数学科学学院
推荐引用方式 GB/T 7714	Fan, HT,Jin, S,Teng, ZH. Zero reaction limit for hyperbolic conservation laws with source terms. 2000-01-01.

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