On the nonconserved Caginalp phase-field system based on the Maxwell-Cattaneo law with two temperatures and logarithmic potentials
DOI10.3934/dcdsb.2019019zbMath1409.35109OpenAlexW2907621570MaRDI QIDQ1733209
Georges Sadaka, Alain Miranville, Ahmad Makki
Publication date: 21 March 2019
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2019019
dissipativitywell-posednessglobal attractorsimulationslogarithmic nonlinear termsCaginalp systemMaxwell-Cattaneo lawtwo temperatures
Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
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