@Article{JPDE-2-7, author = {Yi Fahuai}, title = {An Evolutionary Continuous Casting Problem of Two Phases and Its Periodic Behaviour}, journal = {Journal of Partial Differential Equations}, year = {1989}, volume = {2}, number = {3}, pages = {7--22}, abstract = { 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. }, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5831.html} }