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80A22 Stefan problems, phase changes, etc. (25 articles)

• Molati, Motlatsi; Murakawa, Hideki: An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 305-314
• Klimeš, Lubomír; Popela, Pavel; Mauder, Tomáš; Štětina, Josef; Charvát, Pavel: Two-stage stochastic programming approach to a PDE-constrained steel production problem with the moving interface. (English). Kybernetika, vol. 53 (2017), issue 6, pp. 1047-1070
• Colturato, Michele: Solvability of a class of phase field systems related to a sliding mode control problem. (English). Applications of Mathematics, vol. 61 (2016), issue 6, pp. 623-650
• Heida, Martin: Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. (English). Applications of Mathematics, vol. 60 (2015), issue 1, pp. 51-90
• Wehbe, Charbel: On a Caginalp phase-field system with a logarithmic nonlinearity. (English). Applications of Mathematics, vol. 60 (2015), issue 4, pp. 355-382
• Chabiniok, Radomír; Máca, Radek; Beneš, Michal; Tintěra, Jaroslav: Segmentation of MRI data by means of nonlinear diffusion. (English). Kybernetika, vol. 49 (2013), issue 2, pp. 301-318
• Zhu, Peicheng: Spherically symmetric solutions to a model for interface motion by interface diffusion. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 240-247
• Krupička, Lukáš; Štefan, Radek; Beneš, Michal: Coupled heat transport and Darcian water flow in freezing soils. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 130-135
• Miranville, Alain: On a phase-field model with a logarithmic nonlinearity. (English). Applications of Mathematics, vol. 57 (2012), issue 3, pp. 215-229
• Mansutti, Daniela; Bucchignani, Edoardo: On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 117-136
• Krejčí, Pavel: Elastoplastic reaction of a container to water freezing. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 423-441
• Fterich, Nesrine: Global solution to a generalized nonisothermal Ginzburg-Landau system. (English). Applications of Mathematics, vol. 55 (2010), issue 1, pp. 1-46
• Cherfils, Laurence; Miranville, Alain: On the Caginalp system with dynamic boundary conditions and singular potentials. (English). Applications of Mathematics, vol. 54 (2009), issue 2, pp. 89-115
• Murakawa, Hideki: A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 580-590
• Rocca, Elisabetta; Rossi, Riccarda: Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 485-520
• Prüss, Jan; Saal, Jürgen; Simonett, Gieri: Analytic solutions for the classical two-phase Stefan problem. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 415-425
• Beneš, Michal: Computational studies of anisotropic diffuse interface model of microstructure formation in solidification. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 39-50
• Gilardi, Gianni; Marson, Andrea: On a conserved Penrose-Fife type system. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 465-499
• Monneau, R.; Weiss, G. S.: Self-propagating high temperature synthesis (SHS) in the high activation energy regime. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 99-109
• Rocca, Elisabetta: Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 415-450
• Beneš, Michal: Diffuse-interface treatment of the anisotropic mean-curvature flow. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 437-453
• Schimperna, Giulio: Singular limit of a transmission problem for the parabolic phase-field model. (English). Applications of Mathematics, vol. 45 (2000), issue 3, pp. 217-238
• Krejčí, Pavel; Sprekels, Jürgen: Hysteresis operators in phase-field models of Penrose-fife type. (English). Applications of Mathematics, vol. 43 (1998), issue 3, pp. 207-222
• Beneš, Michal: Analysis of equations in the phase-field model. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 17-35
• Dzurenda, Peter: The use of linear approximation scheme for solving the Stefan problem. (English). Applications of Mathematics, vol. 42 (1997), issue 1, pp. 35-56