TY - JOUR
AU - OVONO, Armel ANDAMI
AB - We study a generalisation of the Caginalp phase field system derived from the Maxwell-Cattaneo law on the one hand, and from the two-temperature theory of heat conduction on the other. We first show that the problem is well posed and obtain dissipativity properties of the associated solution operators. We then prove estimates L∞\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${\textbf{L}^\infty }$$\end{document}-estimates relying on regularity estimates based on Moser’s iterations. We finally analyze a spatial behaviour of the solution in a semi-infinite cylinder, when such solutions exist.
TI - Phase-field system with two temperatures and a nonlinear coupling term based on the Maxwell-Cattaneo law
JF - Indian Journal of Pure and Applied Mathematics
DO - 10.1007/s13226-024-00619-y
DA - 2024-07-15
UR - https://www.deepdyve.com/lp/springer-journals/phase-field-system-with-two-temperatures-and-a-nonlinear-coupling-term-9XViNXL2y2
SP - 1
EP - 25
VL - OnlineFirst
IS - 
DP - DeepDyve
ER -