TY - JOUR
T1 - An Evolutionary Continuous Casting Problem of Two Phases and Its Periodic Behaviour
AU - Yi Fahuai
JO - Journal of Partial Differential Equations
VL - 3
SP - 7
EP - 22
PY - 1989
DA - 1989/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5831.html
KW -
AB - The present paper studies a continuous casting problem of two phases: \frac{∂H(u)}{∂t} + b (t) \frac{∂H(u)}{∂x} - Δu = 0 \quad in 𝒟¹ (Ω_T) where u is che temperature. H (u) is a maximal monotonic graph. Ω_T = G × (0, T), where G = (0, a) × (0. 1) stands for the ingot. We obtain the existence and the uniqueness of weak solution and the existence of periodic solution for the first boundary problem.