Joglekar, Saurabh; Li, Xiaolin Numerical study of crystal growth in reaction-diffusion systems using front tracking. (English) Zbl 07442370 Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 461-471 (2021). MSC: 76T99 76V05 76R50 76M20 80A22 PDF BibTeX XML Cite \textit{S. Joglekar} and \textit{X. Li}, MATRIX Book Ser. 4, 461--471 (2021; Zbl 07442370) Full Text: DOI OpenURL
Bao, Yangjuan; Huang, Yu; Liu, G. R.; Zeng, Wei SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. II: Solid-liquid-like phase transition and flow-like landslides. (English) Zbl 1476.74105 Int. J. Comput. Methods 17, No. 4, Article ID 1850149, 14 p. (2020). MSC: 74L05 65N75 74N10 PDF BibTeX XML Cite \textit{Y. Bao} et al., Int. J. Comput. Methods 17, No. 4, Article ID 1850149, 14 p. (2020; Zbl 1476.74105) Full Text: DOI OpenURL
Fabrizio, Mauro; Giorgi, Claudio; Morro, Angelo Solidification and separation in saline water. (English) Zbl 1332.76064 Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 139-155 (2016). MSC: 76T99 74F20 82C26 82D15 PDF BibTeX XML Cite \textit{M. Fabrizio} et al., Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 139--155 (2016; Zbl 1332.76064) Full Text: DOI OpenURL
Conti, Monica; Gatti, Stefania; Miranville, Alain A generalization of the Caginalp phase-field system with Neumann boundary conditions. (English) Zbl 1288.35289 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 11-21 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35K51 35B41 80A22 35K58 35K70 PDF BibTeX XML Cite \textit{M. Conti} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 11--21 (2013; Zbl 1288.35289) Full Text: DOI OpenURL
Shirakawa, Ken Two-dimensional steady-state solutions of anisotropic total variation flows associated with phase transitions. (English) Zbl 1221.35056 Aiki, T. (ed.) et al., Current advances in nonlinear analysis and related topics. Collected papers of the conference on nonlinear evolution equations and related topics, Tokyo, Japan, October 10–12, 2009, the 4th Polish-Japanese days on current advances in applied nonlinear analysis and mathematical modelling issues, Warsaw, Poland, May 18–21, 2009 and the RIMS conference on nonlinear evolution equations and mathematical modeling, Kyoto, Japan, October 20–24, 2009. Tokyo: Gakkōtosho (ISBN 978-4-7625-0457-0/hbk). GAKUTO International Series. Mathematical Sciences and Applications 32, 483-504 (2010). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B35 35K90 80A22 PDF BibTeX XML Cite \textit{K. Shirakawa}, GAKUTO Int. Ser., Math. Sci. Appl. 32, 483--504 (2010; Zbl 1221.35056) OpenURL
Martins, A. S.; Seixas, C. X. S.; Dos Santos, L. B.; Rios, P. R. Comparison between molecular dynamics and Monte Carlo descriptions of solid-liquid phase-transition of Lennard-Jones fluids. (English) Zbl 1186.82029 Int. J. Mod. Phys. C 21, No. 3, 349-363 (2010). MSC: 82B26 82B80 82D15 PDF BibTeX XML Cite \textit{A. S. Martins} et al., Int. J. Mod. Phys. C 21, No. 3, 349--363 (2010; Zbl 1186.82029) Full Text: DOI OpenURL
Brusche, J. H.; Segal, A.; Vuik, C. An efficient numerical method for solid-liquid transitions in optical rewritable recording. (English) Zbl 1156.76413 Int. J. Numer. Methods Eng. 77, No. 5, 702-718 (2009). MSC: 76M10 76T99 80A22 PDF BibTeX XML Cite \textit{J. H. Brusche} et al., Int. J. Numer. Methods Eng. 77, No. 5, 702--718 (2009; Zbl 1156.76413) Full Text: DOI OpenURL
Berti, V.; Fabrizio, M.; Giorgi, C. On a doubly nonlinear phase-field model for first-order transitions with memory. (English) Zbl 1224.35029 Differ. Integral Equ. 21, No. 3-4, 325-350 (2008). MSC: 35B40 35G25 45K05 80A22 PDF BibTeX XML Cite \textit{V. Berti} et al., Differ. Integral Equ. 21, No. 3--4, 325--350 (2008; Zbl 1224.35029) OpenURL
Shirakawa, Ken Stability for phase field systems involving indefinite surface tension coefficients. (English) Zbl 1102.35310 Colli, Pierluigi (ed.) et al., Dissipative phase transitions. Hackensack, NJ: World Scientific (ISBN 981-256-650-3/hbk). Series on Advances in Mathematics for Applied Sciences 71, 269-288 (2006). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35B35 35K60 35K50 PDF BibTeX XML Cite \textit{K. Shirakawa}, Ser. Adv. Math. Appl. Sci. 71, 269--288 (2006; Zbl 1102.35310) OpenURL
Fukao, Takesi Weak solutions for Stefan problems with convections. (English) Zbl 1105.35147 Colli, Pierluigi (ed.) et al., Dissipative phase transitions. Hackensack, NJ: World Scientific (ISBN 981-256-650-3/hbk). Series on Advances in Mathematics for Applied Sciences 71, 87-100 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R35 80A22 PDF BibTeX XML Cite \textit{T. Fukao}, Ser. Adv. Math. Appl. Sci. 71, 87--100 (2006; Zbl 1105.35147) OpenURL
Kenmochi, Nobuyuki; Shirakawa, Ken Stability for a phase field model with the total variation functional as the interfacial energy. (English) Zbl 1012.35006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 3-4, 425-440 (2003). Reviewer: Dumitru Motreanu (Perpignan, Cedex) MSC: 35B35 35K85 74N99 35B40 74H55 80A22 PDF BibTeX XML Cite \textit{N. Kenmochi} and \textit{K. Shirakawa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 3--4, 425--440 (2003; Zbl 1012.35006) Full Text: DOI OpenURL
Bondarev, Eh. A.; Popov, V. V. Dynamics of hydrate formation during gas production. (Russian. English summary) Zbl 1015.76081 Vychisl. Tekhnol. 7, No. 1, 28-33 (2002). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 76S05 76T99 80A22 80A20 76M20 PDF BibTeX XML Cite \textit{Eh. A. Bondarev} and \textit{V. V. Popov}, Vychisl. Tekhnol. 7, No. 1, 28--33 (2002; Zbl 1015.76081) OpenURL
Stefanelli, Ulisse Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem. (English) Zbl 0983.65101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 2, 213-240 (2001). Reviewer: H.K.Verma (Ludhiana) MSC: 65M06 65M12 65M50 35K55 82C26 PDF BibTeX XML Cite \textit{U. Stefanelli}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 2, 213--240 (2001; Zbl 0983.65101) Full Text: DOI OpenURL
Colli, Pierluigi; Kenmochi, Nobuyuki; Kubo, Masahiro A phase-field model with temperature dependent constraint. (English) Zbl 0980.35074 J. Math. Anal. Appl. 256, No. 2, 668-685 (2001). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35K60 35K50 76T10 80A22 82C26 PDF BibTeX XML Cite \textit{P. Colli} et al., J. Math. Anal. Appl. 256, No. 2, 668--685 (2001; Zbl 0980.35074) Full Text: DOI OpenURL
Visintin, Augusto Phase transitions and hysteresis. (Italian) Zbl 1001.74091 Proceedings of the 16th national congress of the Italian Mathematical Society, Napoli, Italy, September 13-18, 1999. Bologna: Unione Matematica Italiana, 333-379 (2000). Reviewer: G.A.Maugin (Paris) MSC: 74N30 80A22 PDF BibTeX XML Cite \textit{A. Visintin}, in: Atti del sedicesimo congresso dell'Unione Matematica Italiana, Napoli, Italia, 13--18 settembre 1999. Bologna: Unione Matematica Italiana. 333--379 (2000; Zbl 1001.74091) OpenURL
Pawlow, Irena Diffuse interface model of solid-liquid phase transition with internal energy as an order parameter. (English) Zbl 0962.74045 Adv. Math. Sci. Appl. 10, No. 1, 305-327 (2000). MSC: 74N25 74A15 80A22 PDF BibTeX XML Cite \textit{I. Pawlow}, Adv. Math. Sci. Appl. 10, No. 1, 305--327 (2000; Zbl 0962.74045) OpenURL
Yamazaki, Noriaki Periodic behaviour of solutions of time-dependent double obstacle problems. (English) Zbl 0966.35071 Adv. Math. Sci. Appl. 9, No. 2, 885-906 (1999). Reviewer: Maria Agostina Vivaldi (Roma) MSC: 35K85 35K55 49J40 35B10 35B40 PDF BibTeX XML Cite \textit{N. Yamazaki}, Adv. Math. Sci. Appl. 9, No. 2, 885--906 (1999; Zbl 0966.35071) OpenURL
Grasselli, M. Asymptotic analysis of a phase-field model with memory. (English) Zbl 0929.35185 Athanasopoulos, I. (ed.) et al., Free boundary problems: theory and applications. Proceedings of the conference, Crete, Greece, June 8–14, 1997. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 409, 273-286 (1999). MSC: 35R35 80A22 PDF BibTeX XML Cite \textit{M. Grasselli}, Chapman Hall/CRC Res. Notes Math. 409, 273--286 (1999; Zbl 0929.35185) OpenURL
Yamazaki, Noriaki Periodic solutions for phase transition models. (English) Zbl 0922.35067 Nonlinear Anal., Theory Methods Appl. 35, No. 3, A, 399-412 (1999). Reviewer: M.Kučera (Praha) MSC: 35K50 47H04 35K60 35Q35 35B10 47H20 PDF BibTeX XML Cite \textit{N. Yamazaki}, Nonlinear Anal., Theory Methods Appl. 35, No. 3, 399--412 (1999; Zbl 0922.35067) Full Text: DOI OpenURL
Sato, Naoki; Aiki, Toyohiko \(\omega\)-limit sets for solution of phase field equations with constraints under nonlinear dynamic boundary conditions. (English) Zbl 0908.35019 Nishiura, Y. (ed.) et al., Proceedings of the international conference on asymptotics in nonlinear diffusive systems – towards the understanding of singularities in dissipative structures –, Sendai, Japan, July 28–August 1, 1997. Sendai: Tohoku Univ. Tohoku Math. Publ. 8, 253-256 (1998). MSC: 35B40 35K60 PDF BibTeX XML Cite \textit{N. Sato} and \textit{T. Aiki}, Tohoku Math. Publ. 8, 253--256 (1998; Zbl 0908.35019) OpenURL
Ito, Akio A problem of Allen-Cahn type for \(p\)-Laplacian. (English) Zbl 0908.35069 Nishiura, Y. (ed.) et al., Proceedings of the international conference on asymptotics in nonlinear diffusive systems – towards the understanding of singularities in dissipative structures –, Sendai, Japan, July 28–August 1, 1997. Sendai: Tohoku Univ. Tohoku Math. Publ. 8, 229-233 (1998). MSC: 35K65 35B40 35B35 PDF BibTeX XML Cite \textit{A. Ito}, Tohoku Math. Publ. 8, 229--233 (1998; Zbl 0908.35069) OpenURL
Shirohzu, J.; Sato, N.; Kenmochi, N. Asymptotic convergence in models for phase change problems. (English) Zbl 0873.35012 Kenmochi, N. (ed.) et al., Proceedings of the Banach Center minisemester on nonlinear analysis and applications, Warsaw, Poland, November 14 – December 15, 1994. Tokyo: Gakkōtosho Co., Ltd. GAKUTO Int. Ser., Math. Sci. Appl. 7, 361-385 (1995). Reviewer: M.A.Vivaldi (Roma) MSC: 35B40 35K60 35K50 PDF BibTeX XML Cite \textit{J. Shirohzu} et al., GAKUTO Int. Ser., Math. Sci. Appl. 7, 361--385 (1995; Zbl 0873.35012) OpenURL
Fried, Eliot; Gurtin, Morton E. Continuum theory of thermally induced phase transitions based on an order parameter. (English) Zbl 0793.35049 Physica D 68, No. 3-4, 326-343 (1993). MSC: 35K40 35K55 80A22 PDF BibTeX XML Cite \textit{E. Fried} and \textit{M. E. Gurtin}, Physica D 68, No. 3--4, 326--343 (1993; Zbl 0793.35049) Full Text: DOI OpenURL
Raw, M. J.; Schneider, G. E. A new implicit solution procedure for multidimensional finite-difference modeling of the Stefan problem. (English) Zbl 0582.76106 Numer. Heat Transfer 8, 559-571 (1985). MSC: 76T99 76M99 80A20 PDF BibTeX XML Cite \textit{M. J. Raw} and \textit{G. E. Schneider}, Numer. Heat Transfer 8, 559--571 (1985; Zbl 0582.76106) Full Text: DOI OpenURL