TY - JOUR
T1 - The behavior of the interphase heat-transfer for the fast-igniting catalytic converter
AU - Chang, Yu Hsien
AU - Jau, Guo Chin
PY - 2006/3
Y1 - 2006/3
N2 - 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: { ∂/∂t u (t, x) = - α∂/∂x u (t, x) + av (t, x) - au (t, x) for t > 0, 0 < x < l; ∂/∂t v (t, x) = bu (t, x) - bv (t, x) + λexp (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.
AB - 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: { ∂/∂t u (t, x) = - α∂/∂x u (t, x) + av (t, x) - au (t, x) for t > 0, 0 < x < l; ∂/∂t v (t, x) = bu (t, x) - bv (t, x) + λexp (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.
KW - Asymptotic behavior
KW - Blow-up
KW - Fixed-point theory
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U2 - 10.11650/twjm/1500403862
DO - 10.11650/twjm/1500403862
M3 - Article
AN - SCOPUS:33750065709
SN - 1027-5487
VL - 10
SP - 807
EP - 827
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
IS - 3
ER -