Ntsokongo, Armel Judice Asymptotic behavior of an Allen-Cahn type equation with temperature. (English) Zbl 1527.35091 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2452-2466 (2023). MSC: 35B41 35B45 35K51 35K58 PDFBibTeX XMLCite \textit{A. J. Ntsokongo}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2452--2466 (2023; Zbl 1527.35091) Full Text: DOI
Nimi, Aymard Christbert; Reval Langa, Franck Davhys; Bissouesse, Aurdeli Juves Primpha; Moukoko, Daniel; Batchi, Macaire Robust exponential attractors for the Cahn-Hilliard-Oono-Navier-Stokes system. (English) Zbl 1527.35090 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2426-2451 (2023). MSC: 35B41 35K55 35Q35 37L30 76D05 76T99 PDFBibTeX XMLCite \textit{A. C. Nimi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2426--2451 (2023; Zbl 1527.35090) Full Text: DOI
Cherfils, Laurence; Miranville, Alain The Caginalp phase field systems with logarithmic nonlinear terms. (English) Zbl 1527.35099 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2279-2304 (2023). MSC: 35B45 35K51 35K58 PDFBibTeX XMLCite \textit{L. Cherfils} and \textit{A. Miranville}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2279--2304 (2023; Zbl 1527.35099) Full Text: DOI
Ntsokongo, Armel Judice; Tathy, Christian Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law. (English) Zbl 1508.35186 Asymptotic Anal. 128, No. 1, 1-30 (2022). MSC: 35Q79 80A22 35B41 35A01 35A02 PDFBibTeX XMLCite \textit{A. J. Ntsokongo} and \textit{C. Tathy}, Asymptotic Anal. 128, No. 1, 1--30 (2022; Zbl 1508.35186) Full Text: DOI
Goudiaby, Mouhamadou Samsidy; Dia, Ben Mansour Longtime behavior of a semi-implicit scheme for Caginalp phase-field model. (English) Zbl 1481.35363 Results Appl. Math. 12, Article ID 100213, 13 p. (2021). MSC: 35Q79 80A22 35B41 35B35 35A01 35A02 65M06 PDFBibTeX XMLCite \textit{M. S. Goudiaby} and \textit{B. M. Dia}, Results Appl. Math. 12, Article ID 100213, 13 p. (2021; Zbl 1481.35363) Full Text: DOI
Makki, Ahmad; Miranville, Alain; Sadaka, Georges On the conserved Caginalp phase-field system with logarithmic potentials based on the Maxwell-Cattaneo law with two temperatures. (English) Zbl 1475.35089 Appl. Math. Optim. 84, No. 2, 1285-1316 (2021). MSC: 35B45 35K55 35L15 PDFBibTeX XMLCite \textit{A. Makki} et al., Appl. Math. Optim. 84, No. 2, 1285--1316 (2021; Zbl 1475.35089) Full Text: DOI
Calsavara, Bianca M.; Guillen-Gonzalez, Francisco Existence of global-in-time weak solutions for a solidification model with convection in the liquid and rigid motion in the solid. (English) Zbl 1455.35189 SIAM J. Math. Anal. 52, No. 6, 6260-6280 (2020). MSC: 35Q35 35Q79 35B65 35K51 35A01 35D30 76A15 76D03 80A22 PDFBibTeX XMLCite \textit{B. M. Calsavara} and \textit{F. Guillen-Gonzalez}, SIAM J. Math. Anal. 52, No. 6, 6260--6280 (2020; Zbl 1455.35189) Full Text: DOI
Miranville, Alain; Quintanilla, Ramon; Saoud, Wafa Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature. (English) Zbl 1437.35084 Commun. Pure Appl. Anal. 19, No. 4, 2257-2288 (2020). MSC: 35B40 35B41 35B45 35K35 35K51 PDFBibTeX XMLCite \textit{A. Miranville} et al., Commun. Pure Appl. Anal. 19, No. 4, 2257--2288 (2020; Zbl 1437.35084) Full Text: DOI
Colli, Pierluigi; Kurima, Shunsuke Time discretization of a nonlinear phase field system in general domains. (English) Zbl 1480.35008 Commun. Pure Appl. Anal. 18, No. 6, 3161-3179 (2019). MSC: 35A35 35K51 82B26 PDFBibTeX XMLCite \textit{P. Colli} and \textit{S. Kurima}, Commun. Pure Appl. Anal. 18, No. 6, 3161--3179 (2019; Zbl 1480.35008) Full Text: DOI arXiv
Favre, Gianluca; Schimperna, Giulio On a Navier-Stokes-Allen-Cahn model with inertial effects. (English) Zbl 1416.35203 J. Math. Anal. Appl. 475, No. 1, 811-838 (2019). MSC: 35Q35 35D30 35D35 35B40 76T10 PDFBibTeX XMLCite \textit{G. Favre} and \textit{G. Schimperna}, J. Math. Anal. Appl. 475, No. 1, 811--838 (2019; Zbl 1416.35203) Full Text: DOI arXiv
Makki, Ahmad; Miranville, Alain; Sadaka, Georges On the nonconserved Caginalp phase-field system based on the Maxwell-Cattaneo law with two temperatures and logarithmic potentials. (English) Zbl 1409.35109 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1341-1365 (2019). MSC: 35K55 35B45 35Q79 80M10 35L15 PDFBibTeX XMLCite \textit{A. Makki} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1341--1365 (2019; Zbl 1409.35109) Full Text: DOI
Miranville, Alain; Ntsokongo, A. J. On anisotropic Caginalp phase-field type models with singular nonlinear terms. (English) Zbl 1456.35042 J. Appl. Anal. Comput. 8, No. 3, 655-674 (2018). MSC: 35B41 35G61 35K55 35B45 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{A. J. Ntsokongo}, J. Appl. Anal. Comput. 8, No. 3, 655--674 (2018; Zbl 1456.35042) Full Text: DOI
Doumbé Bangola, Brice Landry Phase-field system with two temperatures and a nonlinear coupling term. (English) Zbl 1425.35084 AIMS Math. 3, No. 2, 298-315 (2018). MSC: 35K55 80A22 PDFBibTeX XMLCite \textit{B. L. Doumbé Bangola}, AIMS Math. 3, No. 2, 298--315 (2018; Zbl 1425.35084) Full Text: DOI
Miranville, Alain On higher-order anisotropic conservative Caginalp phase-field systems. (English) Zbl 1388.35089 Appl. Math. Optim. 77, No. 2, 297-314 (2018). MSC: 35K55 35B41 35B45 PDFBibTeX XMLCite \textit{A. Miranville}, Appl. Math. Optim. 77, No. 2, 297--314 (2018; Zbl 1388.35089) Full Text: DOI
Batangouna, Narcisse; Pierre, Morgan Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system. (English) Zbl 1375.37167 Commun. Pure Appl. Anal. 17, No. 1, 1-19 (2018). MSC: 37L30 65M12 35B41 80A22 PDFBibTeX XMLCite \textit{N. Batangouna} and \textit{M. Pierre}, Commun. Pure Appl. Anal. 17, No. 1, 1--19 (2018; Zbl 1375.37167) Full Text: DOI
Judice Ntsokongo, Armel; Moukoko, Daniel; Reval Langa, Franck Davhys; Moukamba, Fidèle On higher-order anisotropic conservative Caginalp phase-field type models. (English) Zbl 1427.35114 AIMS Math. 2, No. 2, 215-229 (2017). MSC: 35K55 80A20 35Q79 PDFBibTeX XMLCite \textit{A. Judice Ntsokongo} et al., AIMS Math. 2, No. 2, 215--229 (2017; Zbl 1427.35114) Full Text: DOI
Conti, M.; Gatti, S.; Miranville, A.; Quintanilla, R. On a Caginalp phase-field system with two temperatures and memory. (English) Zbl 1372.35047 Milan J. Math. 85, No. 1, 1-27 (2017). MSC: 35B41 35K55 80A22 35K51 35R09 PDFBibTeX XMLCite \textit{M. Conti} et al., Milan J. Math. 85, No. 1, 1--27 (2017; Zbl 1372.35047) Full Text: DOI Link
Ntsokongo, Armel Judice; Batangouna, Narcisse Existence and uniqueness of solutions for a conserved phase-field type model. (English) Zbl 1427.35109 AIMS Math. 1, No. 2, 144-155 (2016). MSC: 35K52 35B41 35A01 35A02 PDFBibTeX XMLCite \textit{A. J. Ntsokongo} and \textit{N. Batangouna}, AIMS Math. 1, No. 2, 144--155 (2016; Zbl 1427.35109) Full Text: DOI
Cherfils, Laurence; Miranville, Alain; Peng, Shuiran Higher-order Allen-Cahn models with logarithmic nonlinear terms. (English) Zbl 1364.35363 Sadovnichiy, Victor A. (ed.) et al., Advances in dynamical systems and control. Cham: Springer (ISBN 978-3-319-40672-5/hbk; 978-3-319-40673-2/ebook). Studies in Systems, Decision and Control 69, 247-263 (2016). MSC: 35Q79 80A22 35B41 PDFBibTeX XMLCite \textit{L. Cherfils} et al., Stud. Syst. Decis. Control 69, 247--263 (2016; Zbl 1364.35363) Full Text: DOI
Miranville, Alain Higher-order anisotropic Caginalp phase-field systems. (English) Zbl 1362.35052 Mediterr. J. Math. 13, No. 6, 4519-4535 (2016). MSC: 35B41 35B45 35K55 35K51 35K58 PDFBibTeX XMLCite \textit{A. Miranville}, Mediterr. J. Math. 13, No. 6, 4519--4535 (2016; Zbl 1362.35052) Full Text: DOI
Korzec, Maciek; Münch, Andreas; Süli, Endre; Wagner, Barbara Anisotropy in wavelet-based phase field models. (English) Zbl 1456.74137 Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1167-1187 (2016). MSC: 74M25 74N05 74E10 74E15 PDFBibTeX XMLCite \textit{M. Korzec} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1167--1187 (2016; Zbl 1456.74137) Full Text: DOI
Miranville, Alain; Quintanilla, Ramon A Caginalp phase-field system based on type III heat conduction with two temperatures. (English) Zbl 1338.35233 Q. Appl. Math. 74, No. 2, 375-398 (2016). MSC: 35K55 35J60 80A22 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{R. Quintanilla}, Q. Appl. Math. 74, No. 2, 375--398 (2016; Zbl 1338.35233) Full Text: DOI Link
Wehbe, Charbel On a Caginalp phase-field system with a logarithmic nonlinearity. (English) Zbl 1363.35045 Appl. Math., Praha 60, No. 4, 355-382 (2015). MSC: 35B40 35B41 35K51 80A22 80A20 35Q53 45K05 35K55 35G30 92D50 PDFBibTeX XMLCite \textit{C. Wehbe}, Appl. Math., Praha 60, No. 4, 355--382 (2015; Zbl 1363.35045) Full Text: DOI Link
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio The Penrose-Fife phase-field model. (English) Zbl 1304.35361 Discrete Contin. Dyn. Syst. 34, No. 10, 4259-4290 (2014). MSC: 35K61 35D30 74H40 80A22 35K51 35K67 PDFBibTeX XMLCite \textit{A. Miranville} et al., Discrete Contin. Dyn. Syst. 34, No. 10, 4259--4290 (2014; Zbl 1304.35361) Full Text: DOI arXiv
Bangola, Brice Doumbé Global and exponential attractors for a Caginalp type phase-field problem. (English) Zbl 1284.35083 Cent. Eur. J. Math. 11, No. 9, 1651-1676 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35B41 35A01 35A02 35B40 35B45 35B65 PDFBibTeX XMLCite \textit{B. D. Bangola}, Cent. Eur. J. Math. 11, No. 9, 1651--1676 (2013; Zbl 1284.35083) Full Text: DOI