Zero Reaction Limit for Hyperbolic Conservation Laws with Source Terms
نویسندگان
چکیده
منابع مشابه
Zero Reaction Limit for Hyperbolic Conservation Laws with Source Terms
In this paper we study the zero reaction limit of the hyperbolic conservation law with stii source term @ t u + @ x f(u) = 1 u(1 ? u 2) : For the Cauchy problem to the above equation, we prove that as ! 0, its solution converges to piecewise constant (1) solution, where the two constants are the two stable local equilibrium. The constants are separated by either shocks that travel with speed 1 ...
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In this paper the zero reaction limit of the hyperbolic conservation law with stiff source term of monostable type ∂tu+ ∂xf(u) = 1 u(1− u) is studied. Solutions of Cauchy problems of the above equation with initial value 0 ≤ u0(x) ≤ 1 are proved to converge, as → 0, to piecewise constant functions. The constants are separated by either shocks determined by the Rankine-Hugoniot jump condition, o...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2000
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3887