Abstract
We consider a new concept of weak solutions to the phase field equations with a small parameter ϵ characterizing the length of interaction. For the standard situation of a single free interface, this concept (in contrast to the common one) leads to the well-known Stefan–Gibbs–Thomson problem as ϵ → 0. For the case of a large number M(ϵ) (M(ϵ) → ∞ as ϵ → 0) of free interfaces, which is related to the “wave-train” interpretation of a “mushy region”, this concept allows us to obtain limiting problems as ϵ → 0.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
