Duong, Giao Ky; Ghoul, Tej-Eddine; Zaag, Hatem Gradient blowup profile for the semilinear heat equation. (English) Zbl 07818415 Discrete Contin. Dyn. Syst. 44, No. 4, 997-1025 (2024). MSC: 35K05 35B40 35K55 35K57 PDFBibTeX XMLCite \textit{G. K. Duong} et al., Discrete Contin. Dyn. Syst. 44, No. 4, 997--1025 (2024; Zbl 07818415) Full Text: DOI arXiv
Du, Wenkui; Haslhofer, Robert Hearing the shape of ancient noncollapsed flows in \(\mathbb{R}^4\). (English) Zbl 07782034 Commun. Pure Appl. Math. 77, No. 1, 543-582 (2024). MSC: 35K93 35P05 PDFBibTeX XMLCite \textit{W. Du} and \textit{R. Haslhofer}, Commun. Pure Appl. Math. 77, No. 1, 543--582 (2024; Zbl 07782034) Full Text: DOI arXiv
Du, Wenkui; Haslhofer, Robert A nonexistence result for rotating mean curvature flows in \(\mathbb{R}^4\). (English) Zbl 07733745 J. Reine Angew. Math. 802, 275-285 (2023). MSC: 53E10 PDFBibTeX XMLCite \textit{W. Du} and \textit{R. Haslhofer}, J. Reine Angew. Math. 802, 275--285 (2023; Zbl 07733745) Full Text: DOI arXiv
Lin, Ping; Zaag, Hatem Feedback controllability for blowup points of the heat equation. (English. French summary) Zbl 1503.35089 J. Math. Pures Appl. (9) 168, 65-107 (2022). MSC: 35K20 35B44 93B05 93B52 PDFBibTeX XMLCite \textit{P. Lin} and \textit{H. Zaag}, J. Math. Pures Appl. (9) 168, 65--107 (2022; Zbl 1503.35089) Full Text: DOI arXiv
Abdelhedi, Bouthaina; Zaag, Hatem Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term. (English) Zbl 1494.35043 J. Math. Anal. Appl. 515, No. 2, Article ID 126447, 19 p. (2022). MSC: 35B44 35K15 35K58 35R09 PDFBibTeX XMLCite \textit{B. Abdelhedi} and \textit{H. Zaag}, J. Math. Anal. Appl. 515, No. 2, Article ID 126447, 19 p. (2022; Zbl 1494.35043) Full Text: DOI arXiv
Gang, Zhou On the dynamics of formation of generic singularities of mean curvature flow. (English) Zbl 07505263 J. Funct. Anal. 282, No. 12, Article ID 109458, 73 p. (2022). MSC: 53E10 53A07 PDFBibTeX XMLCite \textit{Z. Gang}, J. Funct. Anal. 282, No. 12, Article ID 109458, 73 p. (2022; Zbl 07505263) Full Text: DOI arXiv
Abdelhedi, Bouthaina; Zaag, Hatem Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. (English) Zbl 1479.35136 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2607-2623 (2021). MSC: 35B44 35K15 35K58 35R09 PDFBibTeX XMLCite \textit{B. Abdelhedi} and \textit{H. Zaag}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2607--2623 (2021; Zbl 1479.35136) Full Text: DOI arXiv
Gang, Zhou On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow. (English) Zbl 1475.53101 J. Geom. Anal. 31, No. 10, 9819-9890 (2021). MSC: 53E10 35K93 53A05 PDFBibTeX XMLCite \textit{Z. Gang}, J. Geom. Anal. 31, No. 10, 9819--9890 (2021; Zbl 1475.53101) Full Text: DOI arXiv
Abdelhedi, Bouthaina; Zaag, Hatem Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient and a non-local term. (English) Zbl 1454.35221 J. Differ. Equations 272, 1-45 (2021). MSC: 35K58 35R09 35B44 35B20 PDFBibTeX XMLCite \textit{B. Abdelhedi} and \textit{H. Zaag}, J. Differ. Equations 272, 1--45 (2021; Zbl 1454.35221) Full Text: DOI arXiv
Souplet, Philippe A simplified approach to the refined blowup behavior for the nonlinear heat equation. (English) Zbl 1411.35176 SIAM J. Math. Anal. 51, No. 2, 991-1013 (2019). MSC: 35K58 35B44 35B40 PDFBibTeX XMLCite \textit{P. Souplet}, SIAM J. Math. Anal. 51, No. 2, 991--1013 (2019; Zbl 1411.35176) Full Text: DOI
Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem Construction and stability of blowup solutions for a non-variational semilinear parabolic system. (Construction et stabilité de solutions explosives pour un système parabolique sémilinéaire non-variationel.) (English. French summary) Zbl 1394.35222 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1577-1630 (2018). MSC: 35K45 35B44 35B40 35K55 35K57 35B35 35K91 PDFBibTeX XMLCite \textit{T.-E. Ghoul} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1577--1630 (2018; Zbl 1394.35222) Full Text: DOI arXiv
Nguyen, Van Tien; Zaag, Hatem Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation. (English. French summary) Zbl 1395.35125 Ann. Sci. Éc. Norm. Supér. (4) 50, No. 5, 1241-1282 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35K58 35K55 35B40 35B44 PDFBibTeX XMLCite \textit{V. T. Nguyen} and \textit{H. Zaag}, Ann. Sci. Éc. Norm. Supér. (4) 50, No. 5, 1241--1282 (2017; Zbl 1395.35125) Full Text: DOI arXiv Link
Nguyen, V. T. Numerical analysis of the rescaling method for parabolic problems with blow-up in finite time. (English) Zbl 1376.35088 Physica D 339, 49-65 (2017). MSC: 35K20 35B44 65M22 35K55 PDFBibTeX XMLCite \textit{V. T. Nguyen}, Physica D 339, 49--65 (2017; Zbl 1376.35088) Full Text: DOI arXiv
Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation. (English) Zbl 1364.35141 Adv. Nonlinear Stud. 17, No. 1, 31-54 (2017). Reviewer: Andrea Tellini (Madrid) MSC: 35K57 35B40 35K55 PDFBibTeX XMLCite \textit{T.-E. Ghoul} et al., Adv. Nonlinear Stud. 17, No. 1, 31--54 (2017; Zbl 1364.35141) Full Text: DOI arXiv
Nguyen, Van Tien On the blow-up results for a class of strongly perturbed semilinear heat equations. (English) Zbl 1327.35195 Discrete Contin. Dyn. Syst. 35, No. 8, 3585-3626 (2015). Reviewer: Christian Stinner (München) MSC: 35K58 35K55 35B40 35B44 PDFBibTeX XMLCite \textit{V. T. Nguyen}, Discrete Contin. Dyn. Syst. 35, No. 8, 3585--3626 (2015; Zbl 1327.35195) Full Text: DOI arXiv
Matano, Hiroshi; Merle, Frank Threshold and generic type I behaviors for a supercritical nonlinear heat equation. (English) Zbl 1223.35088 J. Funct. Anal. 261, No. 3, 716-748 (2011). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B44 35K58 PDFBibTeX XMLCite \textit{H. Matano} and \textit{F. Merle}, J. Funct. Anal. 261, No. 3, 716--748 (2011; Zbl 1223.35088) Full Text: DOI
Khenissy, S.; Rébaï, Y.; Zaag, H. Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. (English) Zbl 1215.35090 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 1, 1-26 (2011). MSC: 35K58 35B44 35B30 PDFBibTeX XMLCite \textit{S. Khenissy} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 1, 1--26 (2011; Zbl 1215.35090) Full Text: DOI
Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai Blow-up in nonlinear heat equations. (English) Zbl 1180.35130 Adv. Appl. Math. 40, No. 4, 433-481 (2008). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B44 35K57 35K55 35K15 PDFBibTeX XMLCite \textit{S. Dejak} et al., Adv. Appl. Math. 40, No. 4, 433--481 (2008; Zbl 1180.35130) Full Text: DOI arXiv
Zaag, Hatem Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation. (English) Zbl 1096.35062 Duke Math. J. 133, No. 3, 499-525 (2006). MSC: 35K55 35A20 35B40 35K15 PDFBibTeX XMLCite \textit{H. Zaag}, Duke Math. J. 133, No. 3, 499--525 (2006; Zbl 1096.35062) Full Text: DOI Euclid
Dickstein, Flávio Blowup stability of solutions of the nonlinear heat equation with a large life span. (English) Zbl 1100.35044 J. Differ. Equations 223, No. 2, 303-328 (2006). Reviewer: Marek Fila (Bratislava) MSC: 35K55 35K57 35B40 35K15 PDFBibTeX XMLCite \textit{F. Dickstein}, J. Differ. Equations 223, No. 2, 303--328 (2006; Zbl 1100.35044) Full Text: DOI
Zaag, Hatem On the regularity of the blow-up set for semilinear heat equations. (English) Zbl 1012.35039 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 5, 505-542 (2002). Reviewer: A.Cichocka (Katowice) MSC: 35K55 35K15 35K05 PDFBibTeX XMLCite \textit{H. Zaag}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 5, 505--542 (2002; Zbl 1012.35039) Full Text: DOI Numdam EuDML
Velázquez, J. J. L. Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow. (English) Zbl 0926.35023 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 595-628 (1994). MSC: 35B40 35K55 53A10 PDFBibTeX XMLCite \textit{J. J. L. Velázquez}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 595--628 (1994; Zbl 0926.35023) Full Text: Numdam EuDML