Edit Profile (opens in new tab) Zaag, Hatem Co-Author Distance Author ID: zaag.hatem Published as: Zaag, Hatem; Zaag, H. Documents Indexed: 87 Publications since 1996, including 1 Book and 7 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 41 Co-Authors with 80 Joint Publications 796 Co-Co-Authors all top 5 Co-Authors 7 single-authored 24 Merle, Frank 11 Nguyen, Van Tien 10 Duong, Giao Ky 9 Ghoul, Tej-Eddine 9 Nouaili, Nejla 8 Hamza, Mohamed Ali 4 Azaiez, Asma 3 Abdelhedi, Bouthaina 3 Kavallaris, Nikos Ioannis 2 Benjemaa, Mondher 2 Corrias, Lucilla 2 Fermanian-Kammerer, Clotilde 2 Jrajria, Aida 2 Masmoudi, Nader 2 Perthame, Benoît 2 Rébaï, Yomna 2 Tayachi, Slim 1 Banna, Fayad Ali 1 Ben Ayed, Mohamed 1 Boukhris, Louay 1 Côte, Raphaël 1 Ebde, Mohamed Abderrahman 1 Eckmann, Jean-Pierre 1 Groisman, Pablo 1 Gueddiche, Ahmed 1 Hassani, Farbod 1 Jendoubi, Mohamed Ali 1 Khenissy, Saïma 1 Lasram, Ahmed 1 Lin, Ping 1 Mahmoudi, Fethi 1 Nadin, Grégoire 1 Ogier-Denis, Eric 1 Rayana, Elyes Ben 1 Rebai, Ahmed 1 Riahi, Hasna 1 Rossi, Julio Daniel 1 Roy, Tristan 1 Souissi, Fares 1 Toledo, Ana I. 1 Toujani, Radhi all top 5 Serials 5 Journal of Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Duke Mathematical Journal 3 Communications in Mathematical Physics 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Bulletin des Sciences Mathématiques 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 American Journal of Mathematics 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 IMRN. International Mathematics Research Notices 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Biology 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Memoirs of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Séminaire Équations aux Dérivées Partielles 1 Turkish Journal of Mathematics 1 Methods and Applications of Analysis 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 London Mathematical Society Lecture Note Series 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Advances in Pure and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Advances in Nonlinear Analysis 1 Séminaire Laurent Schwartz. EDP et Applications 1 Tunisian Journal of Mathematics all top 5 Fields 85 Partial differential equations (35-XX) 3 Biology and other natural sciences (92-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 1,471 times in 544 Documents Cited by ▼ Year ▼ Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136 Corrias, L.; Perthame, Benoît; Zaag, H. 186 2004 Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\). Zbl 0872.35049 Merle, Frank; Zaag, Hatem 91 1997 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062 Corrias, L.; Perthame, B.; Zaag, H. 61 2003 Optimal estimates for blowup rate and behavior for nonlinear heat equations. Zbl 0899.35044 Merle, Frank; Zaag, Hatem 56 1998 A Liouville theorem for vector-valued nonlinear heat equations and applications. Zbl 0939.35086 Merle, Frank; Zaag, Hatem 51 2000 Determination of the blow-up rate for the semilinear wave equation. Zbl 1052.35043 Merle, Frank; Zaag, Hatem 51 2003 Determination of the blow-up rate for a critical semilinear wave equation. Zbl 1136.35055 Merle, Frank; Zaag, Hatem 46 2005 Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension. Zbl 1252.35204 Merle, Frank; Zaag, Hatem 46 2012 Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension. Zbl 1133.35070 Merle, Frank; Zaag, Hatem 45 2007 Openness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equation. Zbl 1159.35046 Merle, Frank; Zaag, Hatem 39 2008 Construction of a multisoliton blowup solution to the semilinear wave equation in one space dimension. Zbl 1295.35124 Côte, Raphaël; Zaag, Hatem 39 2013 On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations. Zbl 1315.35134 Merle, Frank; Zaag, Hatem 36 2015 Refined uniform estimates at blow-up and applications for nonlinear heat equations. Zbl 0926.35024 Merle, F.; Zaag, H. 35 1998 Blow-up profile for the complex Ginzburg-Landau equation. Zbl 1158.35016 Masmoudi, Nader; Zaag, Hatem 35 2008 Blow-up results for vector-valued nonlinear heat equations with no gradient structure. Zbl 0902.35050 Zaag, Hatem 33 1998 Profile for a simultaneously blowing up solution to a complex valued semilinear heat equation. Zbl 1335.35126 Nouaili, Nejla; Zaag, Hatem 33 2015 Stability of the blow-up profile of nonlinear heat equations from the dynamical system point of view. Zbl 0971.35038 Fermanian Kammerer, C.; Merle, F.; Zaag, H. 31 2000 Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation. Zbl 1270.35320 Merle, Frank; Zaag, Hatem 29 2012 On the regularity of the blow-up set for semilinear heat equations. Zbl 1012.35039 Zaag, Hatem 27 2002 Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. Zbl 1241.35125 Ebde, M. A.; Zaag, Hatem 26 2011 On growth rate near the blowup surface for semilinear wave equations. Zbl 1160.35478 Merle, Frank; Zaag, Hatem 24 2005 A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure. Zbl 1029.35113 Zaag, Hatem 22 2001 Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation. Zbl 1096.35062 Zaag, Hatem 22 2006 Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Zbl 1423.35186 Tayachi, Slim; Zaag, Hatem 22 2019 One dimensional behavior of singular \(n\)-dimensional solutions of semilinear heat equations. Zbl 0993.35041 Zaag, Hatem 21 2002 Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations. Zbl 1378.35178 Nguyen, Van Tien; Zaag, Hatem 21 2016 Blow-up behavior outside the origin for a semilinear wave equation in the radial case. Zbl 1222.35126 Merle, Frank; Zaag, Hatem 18 2011 Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions. Zbl 1339.35062 Merle, Frank; Zaag, Hatem 18 2016 Construction of a stable blowup solution with a prescribed behavior for a non-scaling-invariant semilinear heat equation. Zbl 1407.35092 Duong, Giao Ky; Nguyen, Van Tien; Zaag, Hatem 18 2019 Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term. Zbl 1378.35173 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 17 2017 A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations. Zbl 1255.35057 Hamza, M. A.; Zaag, H. 16 2012 Lyapunov functional and blow-up results for a class of perturbations of semilinear wave equations in the critical case. Zbl 1255.35171 Hamza, Mohamed Ali; Zaag, Hatem 15 2012 Construction of a blow-up solution for the complex Ginzburg-Landau equation in a critical case. Zbl 1397.35295 Nouaili, Nejla; Zaag, Hatem 15 2018 Reconnection of vortex with the boundary and finite time quenching. Zbl 0910.35020 Merle, Frank; Zaag, Hatem 14 1997 Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation. Zbl 1395.35125 Nguyen, Van Tien; Zaag, Hatem 14 2017 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.) Zbl 1394.35222 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 14 2018 Regularity of the blow-up set and singular behavior for semilinear heat equations. Zbl 1017.35043 Zaag, Hatem 13 2002 Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations. Zbl 1278.35030 Hamza, M. A.; Zaag, H. 13 2013 Construction of type I blowup solutions for a higher order semilinear parabolic equation. Zbl 1416.35141 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 13 2020 Profile of a touch-down solution to a nonlocal MEMS model. Zbl 1425.35116 Duong, Giao Ky; Zaag, Hatem 12 2019 Blow-up results for semilinear wave equations in the superconformal case. Zbl 1284.35288 Hamza, Mohamed-Ali; Zaag, Hatem 12 2013 Boundedness up to blow-up of the difference between two solutions to a semilinear heat equation. Zbl 0954.35085 Fermanian Kammerer, Clotilde; Zaag, Hatem 11 2000 Blowup solutions for a reaction-diffusion system with exponential nonlinearities. Zbl 1393.35096 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 10 2018 O. D. E. type behavior of blow-up solutions of nonlinear heat equations. Zbl 1009.35039 Merle, Frank; Zaag, Hatem 9 2002 Blow-up results for a strongly perturbed semilinear heat equation: theoretical analysis and numerical method. Zbl 1334.35148 Nguyen, Van Tien; Zaag, Hatem 9 2016 Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile. Zbl 1334.35145 Mahmoudi, Fethi; Nouaili, Nejla; Zaag, Hatem 7 2016 The blow-up rate for a non-scaling invariant semilinear wave equations. Zbl 1439.35088 Hamza, Mohamed Ali; Zaag, Hatem 6 2020 Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient and a non-local term. Zbl 1454.35221 Abdelhedi, Bouthaina; Zaag, Hatem 6 2021 A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up. Zbl 1213.35158 Nouaili, Nejla; Zaag, Hatem 6 2010 Stability of blow-up profile for equations of the type \(u_ t= \Delta u+| u|^{p-1} u\). (Stabilité du profil à l’explosion pour les équations du type \(u_ t= \Delta u+| u|^{p-1} u\).) Zbl 0846.35060 Merle, Frank; Zaag, Hatem 5 1996 Existence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term. Zbl 1378.35048 Zaag, Hatem; Tayachi, Slim 5 2016 Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. Zbl 1215.35090 Khenissy, S.; Rébaï, Y.; Zaag, H. 4 2011 On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem. Zbl 1036.35025 Groisman, Pablo; Rossi, Julio D.; Zaag, Hatem 4 2003 Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system. Zbl 1477.35043 Duong, G. K.; Kavallaris, N. I.; Zaag, H. 4 2021 Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. Zbl 1479.35136 Abdelhedi, Bouthaina; Zaag, Hatem 4 2021 Refined asymptotics for the blow-up solution of the complex Ginzburg-Landau equation in the subcritical case. Zbl 1512.35562 Duong, Giao Ky; Nouaili, Nejla; Zaag, Hatem 4 2022 Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation. Zbl 1364.35141 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 3 2017 Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters. Zbl 1496.35102 Duong, G. K.; Ghoul, T. E.; Kavallaris, N. I.; Zaag, H. 3 2022 Construction of blowup solutions for the complex Ginzburg-Landau equation with critical parameters. Zbl 1518.35001 Duong, Giao Ky; Nouaili, Nejla; Zaag, Hatem 3 2023 Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension. Zbl 1425.35008 Azaiez, Asma; Masmoudi, Nader; Zaag, Hatem 3 2019 A modulation technique for the blow-up profile of the vector-valued semilinear wave equation. Zbl 1387.35065 Azaiez, Asma; Zaag, Hatem 2 2017 Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems. Zbl 1425.35108 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 2 2019 Behavior rigidity near non-isolated blow-up points for the semilinear heat equation. Zbl 1501.35092 Merle, Frank; Zaag, Hatem 2 2022 The blow-up rate for a non-scaling invariant semilinear heat equation. Zbl 1486.35074 Hamza, Mohamed Ali; Zaag, Hatem 2 2022 Blowup solutions to the semilinear wave equation with a stylized pyramid as a blowup surface. Zbl 1402.35181 Merle, Frank; Zaag, Hatem 2 2018 A remark on the energy blow-up behavior for nonlinear heat equations. Zbl 0971.35042 Zaag, Hatem 1 2000 Uniform blow-up estimates for nonlinear heat equations and applications. Zbl 1019.35044 Merle, Frank; Zaag, Hatem 1 2001 Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation. Zbl 1437.35500 Hamza, Mohamed Ali; Zaag, Hatem 1 2019 The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions. Zbl 1472.35240 Hamza, Mohamed Ali; Zaag, Hatem 1 2021 A Turing mechanism in order to explain the patchy nature of Crohn’s disease. Zbl 1466.92004 Nadin, Grégoire; Ogier-Denis, Eric; Toledo, Ana I.; Zaag, Hatem 1 2021 Construction of blowup solutions for the complex Ginzburg-Landau equation with critical parameters. Zbl 1518.35001 Duong, Giao Ky; Nouaili, Nejla; Zaag, Hatem 3 2023 Refined asymptotics for the blow-up solution of the complex Ginzburg-Landau equation in the subcritical case. Zbl 1512.35562 Duong, Giao Ky; Nouaili, Nejla; Zaag, Hatem 4 2022 Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters. Zbl 1496.35102 Duong, G. K.; Ghoul, T. E.; Kavallaris, N. I.; Zaag, H. 3 2022 Behavior rigidity near non-isolated blow-up points for the semilinear heat equation. Zbl 1501.35092 Merle, Frank; Zaag, Hatem 2 2022 The blow-up rate for a non-scaling invariant semilinear heat equation. Zbl 1486.35074 Hamza, Mohamed Ali; Zaag, Hatem 2 2022 Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient and a non-local term. Zbl 1454.35221 Abdelhedi, Bouthaina; Zaag, Hatem 6 2021 Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system. Zbl 1477.35043 Duong, G. K.; Kavallaris, N. I.; Zaag, H. 4 2021 Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. Zbl 1479.35136 Abdelhedi, Bouthaina; Zaag, Hatem 4 2021 The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions. Zbl 1472.35240 Hamza, Mohamed Ali; Zaag, Hatem 1 2021 A Turing mechanism in order to explain the patchy nature of Crohn’s disease. Zbl 1466.92004 Nadin, Grégoire; Ogier-Denis, Eric; Toledo, Ana I.; Zaag, Hatem 1 2021 Construction of type I blowup solutions for a higher order semilinear parabolic equation. Zbl 1416.35141 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 13 2020 The blow-up rate for a non-scaling invariant semilinear wave equations. Zbl 1439.35088 Hamza, Mohamed Ali; Zaag, Hatem 6 2020 Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Zbl 1423.35186 Tayachi, Slim; Zaag, Hatem 22 2019 Construction of a stable blowup solution with a prescribed behavior for a non-scaling-invariant semilinear heat equation. Zbl 1407.35092 Duong, Giao Ky; Nguyen, Van Tien; Zaag, Hatem 18 2019 Profile of a touch-down solution to a nonlocal MEMS model. Zbl 1425.35116 Duong, Giao Ky; Zaag, Hatem 12 2019 Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension. Zbl 1425.35008 Azaiez, Asma; Masmoudi, Nader; Zaag, Hatem 3 2019 Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems. Zbl 1425.35108 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 2 2019 Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation. Zbl 1437.35500 Hamza, Mohamed Ali; Zaag, Hatem 1 2019 Construction of a blow-up solution for the complex Ginzburg-Landau equation in a critical case. Zbl 1397.35295 Nouaili, Nejla; Zaag, Hatem 15 2018 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.) Zbl 1394.35222 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 14 2018 Blowup solutions for a reaction-diffusion system with exponential nonlinearities. Zbl 1393.35096 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 10 2018 Blowup solutions to the semilinear wave equation with a stylized pyramid as a blowup surface. Zbl 1402.35181 Merle, Frank; Zaag, Hatem 2 2018 Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term. Zbl 1378.35173 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 17 2017 Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation. Zbl 1395.35125 Nguyen, Van Tien; Zaag, Hatem 14 2017 Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation. Zbl 1364.35141 Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem 3 2017 A modulation technique for the blow-up profile of the vector-valued semilinear wave equation. Zbl 1387.35065 Azaiez, Asma; Zaag, Hatem 2 2017 Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations. Zbl 1378.35178 Nguyen, Van Tien; Zaag, Hatem 21 2016 Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions. Zbl 1339.35062 Merle, Frank; Zaag, Hatem 18 2016 Blow-up results for a strongly perturbed semilinear heat equation: theoretical analysis and numerical method. Zbl 1334.35148 Nguyen, Van Tien; Zaag, Hatem 9 2016 Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile. Zbl 1334.35145 Mahmoudi, Fethi; Nouaili, Nejla; Zaag, Hatem 7 2016 Existence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term. Zbl 1378.35048 Zaag, Hatem; Tayachi, Slim 5 2016 On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations. Zbl 1315.35134 Merle, Frank; Zaag, Hatem 36 2015 Profile for a simultaneously blowing up solution to a complex valued semilinear heat equation. Zbl 1335.35126 Nouaili, Nejla; Zaag, Hatem 33 2015 Construction of a multisoliton blowup solution to the semilinear wave equation in one space dimension. Zbl 1295.35124 Côte, Raphaël; Zaag, Hatem 39 2013 Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations. Zbl 1278.35030 Hamza, M. A.; Zaag, H. 13 2013 Blow-up results for semilinear wave equations in the superconformal case. Zbl 1284.35288 Hamza, Mohamed-Ali; Zaag, Hatem 12 2013 Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension. Zbl 1252.35204 Merle, Frank; Zaag, Hatem 46 2012 Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation. Zbl 1270.35320 Merle, Frank; Zaag, Hatem 29 2012 A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations. Zbl 1255.35057 Hamza, M. A.; Zaag, H. 16 2012 Lyapunov functional and blow-up results for a class of perturbations of semilinear wave equations in the critical case. Zbl 1255.35171 Hamza, Mohamed Ali; Zaag, Hatem 15 2012 Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. Zbl 1241.35125 Ebde, M. A.; Zaag, Hatem 26 2011 Blow-up behavior outside the origin for a semilinear wave equation in the radial case. Zbl 1222.35126 Merle, Frank; Zaag, Hatem 18 2011 Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation. Zbl 1215.35090 Khenissy, S.; Rébaï, Y.; Zaag, H. 4 2011 A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up. Zbl 1213.35158 Nouaili, Nejla; Zaag, Hatem 6 2010 Openness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equation. Zbl 1159.35046 Merle, Frank; Zaag, Hatem 39 2008 Blow-up profile for the complex Ginzburg-Landau equation. Zbl 1158.35016 Masmoudi, Nader; Zaag, Hatem 35 2008 Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension. Zbl 1133.35070 Merle, Frank; Zaag, Hatem 45 2007 Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation. Zbl 1096.35062 Zaag, Hatem 22 2006 Determination of the blow-up rate for a critical semilinear wave equation. Zbl 1136.35055 Merle, Frank; Zaag, Hatem 46 2005 On growth rate near the blowup surface for semilinear wave equations. Zbl 1160.35478 Merle, Frank; Zaag, Hatem 24 2005 Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136 Corrias, L.; Perthame, Benoît; Zaag, H. 186 2004 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062 Corrias, L.; Perthame, B.; Zaag, H. 61 2003 Determination of the blow-up rate for the semilinear wave equation. Zbl 1052.35043 Merle, Frank; Zaag, Hatem 51 2003 On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem. Zbl 1036.35025 Groisman, Pablo; Rossi, Julio D.; Zaag, Hatem 4 2003 On the regularity of the blow-up set for semilinear heat equations. Zbl 1012.35039 Zaag, Hatem 27 2002 One dimensional behavior of singular \(n\)-dimensional solutions of semilinear heat equations. Zbl 0993.35041 Zaag, Hatem 21 2002 Regularity of the blow-up set and singular behavior for semilinear heat equations. Zbl 1017.35043 Zaag, Hatem 13 2002 O. D. E. type behavior of blow-up solutions of nonlinear heat equations. Zbl 1009.35039 Merle, Frank; Zaag, Hatem 9 2002 A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure. Zbl 1029.35113 Zaag, Hatem 22 2001 Uniform blow-up estimates for nonlinear heat equations and applications. Zbl 1019.35044 Merle, Frank; Zaag, Hatem 1 2001 A Liouville theorem for vector-valued nonlinear heat equations and applications. Zbl 0939.35086 Merle, Frank; Zaag, Hatem 51 2000 Stability of the blow-up profile of nonlinear heat equations from the dynamical system point of view. Zbl 0971.35038 Fermanian Kammerer, C.; Merle, F.; Zaag, H. 31 2000 Boundedness up to blow-up of the difference between two solutions to a semilinear heat equation. Zbl 0954.35085 Fermanian Kammerer, Clotilde; Zaag, Hatem 11 2000 A remark on the energy blow-up behavior for nonlinear heat equations. Zbl 0971.35042 Zaag, Hatem 1 2000 Optimal estimates for blowup rate and behavior for nonlinear heat equations. Zbl 0899.35044 Merle, Frank; Zaag, Hatem 56 1998 Refined uniform estimates at blow-up and applications for nonlinear heat equations. Zbl 0926.35024 Merle, F.; Zaag, H. 35 1998 Blow-up results for vector-valued nonlinear heat equations with no gradient structure. Zbl 0902.35050 Zaag, Hatem 33 1998 Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\). Zbl 0872.35049 Merle, Frank; Zaag, Hatem 91 1997 Reconnection of vortex with the boundary and finite time quenching. Zbl 0910.35020 Merle, Frank; Zaag, Hatem 14 1997 Stability of blow-up profile for equations of the type \(u_ t= \Delta u+| u|^{p-1} u\). (Stabilité du profil à l’explosion pour les équations du type \(u_ t= \Delta u+| u|^{p-1} u\).) Zbl 0846.35060 Merle, Frank; Zaag, Hatem 5 1996 all cited Publications top 5 cited Publications all top 5 Cited by 604 Authors 53 Zaag, Hatem 21 Merle, Frank 15 Donninger, Roland 14 Ghoul, Tej-Eddine 13 Souplet, Philippe 12 Nguyen, Van Tien 12 Wang, Zhian 11 Winkler, Michael 10 Calvez, Vincent 10 Duong, Giao Ky 10 Wei, Juncheng 9 Carrillo de la Plata, José Antonio 9 Collot, Charles 9 Fujishima, Yohei 9 Ishige, Kazuhiro 9 Martel, Yvan 9 Nouaili, Nejla 9 Ogawa, Takayoshi 9 Perthame, Benoît 9 Raphael, Pierre 8 Hamza, Mohamed Ali 7 Li, Tong 7 Sugiyama, Yoshie 6 Del Pino, Manuel A. 6 Harada, Junichi 6 Kavallaris, Nikos Ioannis 6 Krieger, Joachim 6 Masmoudi, Nader 6 Quittner, Pavol 6 Schörkhuber, Birgit 6 Zhao, Jihong 5 Azaiez, Asma 5 Chen, Miaochao 5 Kenig, Carlos Eduardo 5 Liu, Qilin 5 Lu, Shengqi 5 Musso, Monica 5 Rossi, Julio Daniel 5 Tao, Youshan 5 Zheng, Jiashan 4 Ahn, Jaewook 4 Bedrossian, Jacob 4 Cazenave, Thierry 4 Chen, Jiajie 4 Choi, Kyeongsu 4 Côte, Raphaël 4 Duyckaerts, Thomas 4 Figueira, Mário S. R. 4 Granero Belinchón, Rafael 4 Guo, Jong-Shenq 4 Jin, Chunhua 4 Jüngel, Ansgar 4 Kang, Kyungkeun 4 Kozono, Hideo 4 Kurokiba, Masaki 4 Lin, Ping 4 Sasaki, Takiko 4 Szeftel, Jérémie 4 Wakui, Hiroshi 4 Zhang, Zhengce 4 Zhou, Yifu 3 Abdelhedi, Bouthaina 3 Biler, Piotr 3 Blanchet, Adrien 3 Buckmaster, Tristan 3 Castorina, Daniele 3 Chae, Myeongju 3 Chang, Caihong 3 Choi, Kyudong 3 Correia, Simão 3 Corrias, Lucilla 3 Dejak, Steven I. 3 Deng, Chao 3 Dodson, Benjamin G. 3 Fan, Jishan 3 Galaktionov, Victor Aleksandrovich 3 Gang, Zhou 3 Haslhofer, Robert 3 Hou, Qianqian 3 Hou, Thomas Yizhao 3 Ibrahim, Slim 3 Karch, Grzegorz 3 Lawrie, Andrew G. W. 3 Mantegazza, Carlo 3 Matzavinos, Anastasios 3 Metcalfe, Stephen 3 Monneau, Régis 3 Morales-Rodrigo, Cristian 3 Peng, Hongyun 3 Phan, Quoc Hung 3 Shimojō, Masahiko 3 Sigal, Israel Michael 3 Tayachi, Slim 3 Wang, Yifu 3 Zhao, Kun 3 Zhao, Lifeng 2 Banica, Valeria 2 Bournaveas, Nikolaos 2 Brendle, Simon 2 Chaves, Manuela ...and 504 more Authors all top 5 Cited in 146 Serials 50 Journal of Differential Equations 23 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Discrete and Continuous Dynamical Systems 17 Journal of Functional Analysis 17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Communications in Partial Differential Equations 11 Transactions of the American Mathematical Society 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Evolution Equations 10 Communications in Mathematical Physics 9 Mathematische Annalen 9 Calculus of Variations and Partial Differential Equations 8 Archive for Rational Mechanics and Analysis 8 Nonlinearity 8 SIAM Journal on Mathematical Analysis 8 Discrete and Continuous Dynamical Systems. Series B 7 Communications on Pure and Applied Mathematics 7 Duke Mathematical Journal 7 Séminaire Laurent Schwartz. EDP et Applications 6 Physica D 6 Applied Mathematics Letters 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Communications on Pure and Applied Analysis 6 Boundary Value Problems 5 Computers & Mathematics with Applications 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 NoDEA. Nonlinear Differential Equations and Applications 5 Communications in Contemporary Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Inventiones Mathematicae 4 Memoirs of the American Mathematical Society 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 Bulletin des Sciences Mathématiques 4 Journal of the European Mathematical Society (JEMS) 4 Nonlinear Analysis. Real World Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Analysis & PDE 4 Advances in Nonlinear Analysis 3 Applicable Analysis 3 Journal of Computational Physics 3 Journal of Mathematical Biology 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematical and Computer Modelling 3 Japan Journal of Industrial and Applied Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 Acta Mathematica Sinica. English Series 3 Advanced Nonlinear Studies 3 Journal of Hyperbolic Differential Equations 3 Science China. Mathematics 3 Annals of PDE 2 Mathematical Biosciences 2 American Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 SIAM Journal on Scientific Computing 2 Opuscula Mathematica 2 Journal of Inequalities and Applications 2 Journal of Mathematical Fluid Mechanics 2 Annals of Mathematics. Second Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Mathematical Biosciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Kinetic and Related Models 2 International Journal of Numerical Methods and Applications 2 S\(\vec{\text{e}}\)MA Journal 2 Evolution Equations and Control Theory 2 Journal of Elliptic and Parabolic Equations 2 SN Partial Differential Equations and Applications 1 Modern Physics Letters B 1 Computers and Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Physica A 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 BIT 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 SIAM Journal on Numerical Analysis ...and 46 more Serials all top 5 Cited in 35 Fields 524 Partial differential equations (35-XX) 166 Biology and other natural sciences (92-XX) 29 Fluid mechanics (76-XX) 28 Numerical analysis (65-XX) 13 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 9 Systems theory; control (93-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Functions of a complex variable (30-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year