The Behavior of the Interphase Heat-Transfer for the Fast-Igniting Catalytic Converter

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Title:	The Behavior of the Interphase Heat-Transfer for the Fast-Igniting Catalytic Converter
Authors:	張幼賢;趙國欽
Date:	2006-03
Issue Date:	2016-04-28 15:30:00 (UTC+8)
Abstract:	Fixed-point theory; Blow-up; Asymptotic behavior
Relation:	The main purpose of this paper is to study the thermal balance equations for the gas and solid interphase heat-transfer for the fast-igniting catalytic converter of automobiles:    ∂ ∂tu (t, x) = −α ∂ ∂xu (t, x) + av (t, x) − au (t, x) for t > 0, 0<x<l; ∂ ∂tv (t, x) = bu (t, x) − bv (t, x) + λ exp (v (t, x)) for t > 0, 0<x<l; u (t, 0) = η for t ≥ 0; u (0, x) = u0 (x) and v (0, x) = v0 (x) for x>0. where u0, v0 are continuous functions on [0, l] with u0 (0) = η. We establish some results concerning the existence and uniqueness of the mild solutions and classical solutions of the above differential system. The asymptotical behavior of the solution is also addressed.
Appears in Collections:	[Department of Mathematic and Computer Science Education] Periodical Articles

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