Brighi, Bernard

Compute Distance To:
 Author ID: brighi.bernard Published as: Brighi, Bernard; Brighi, B.; Brighi, Bernhard Homepage: http://www.math.uha.fr/brighi/ External Links: MGP · dblp
 Documents Indexed: 36 Publications since 1992 2 Contributions as Editor Co-Authors: 29 Co-Authors with 32 Joint Publications 691 Co-Co-Authors
all top 5

Co-Authors

 6 single-authored 7 Chipot, Michel 7 Hoernel, Jean-David 4 Belhachmi, Zakaria 4 Guesmia, Senoussi 4 Taous, Khalid 2 Bousselsal, Mahmoud 2 Brillard, Alain 2 Fruchard, Augustin 2 Sari, Tewfik 2 Shafrir, Itai 2 Valente, Vanda 2 Vergara Caffarelli, Giorgio 1 Ahumada, Guido 1 Aïboudi, Mohamed 1 Aiboudi, Mohammed 1 Akesbi, Samir 1 Bandle, Catherine 1 Bemelmans, Josef 1 Bensari-Khelil, Ikram 1 Berestycki, Henri 1 Boudjema Djeffal, K. 1 Chevallier, Nicolas 1 Conrad, Francis 1 Coron, Jean-Michel 1 Gut, Erich 1 Ramaswamy, Mythily 1 Sac-Epee, Jean-Marc 1 Sbordone, Carlo 1 Tsai, Je-Chiang
all top 5

Serials

 3 Quadrature 2 Archiv der Mathematik 2 Acta Mathematica Universitatis Comenianae. New Series 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 1 IMA Journal of Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Annales des Sciences Mathématiques du Québec 1 Journal of Computational and Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Advances in Mathematical Sciences and Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Convex Analysis 1 Abstract and Applied Analysis 1 Computational Geosciences 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 Analysis and Applications (Singapore) 1 Differential Equations and Applications 1 Journal of Elliptic and Parabolic Equations 1 Progress in Nonlinear Differential Equations and Their Applications
all top 5

Fields

 18 Ordinary differential equations (34-XX) 18 Fluid mechanics (76-XX) 9 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

Citations contained in zbMATH Open

31 Publications have been cited 156 times in 86 Documents Cited by Year
Approximated convex envelope of a function. Zbl 0796.65009
Brighi, Bernard; Chipot, Michel
1994
On the concave solutions of the Blasius equation. Zbl 0972.34015
Belhachmi, Z.; Brighi, B.; Taous, K.
2000
On a family of differential equations for boundary layer approximations in porous media. Zbl 0991.76084
Belhachmi, Zakaria; Brighi, Bernard; Taous, Khalid
2001
On the Blasius problem. Zbl 1158.34016
Brighi, Bernard; Fruchard, Augustin; Sari, Tewfik
2008
On a similarity boundary layer equation. Zbl 1041.34009
Brighi, B.
2002
Blowing-up coordinates for a similarity boundary layer equation. Zbl 1076.34028
Brighi, Bernard; Sari, Tewfik
2005
The equation $$f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0$$ and the associated boundary value problems. Zbl 1267.34043
Brighi, Bernard
2012
On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium. Zbl 1125.34005
Brighi, Bernard; Hoernel, Jean-David
2006
On a general similarity boundary layer equation. Zbl 1164.34006
Brighi, B.; Hoernel, J. D.
2008
Asymptotic behavior of the unbounded solutions of some boundary layer equations. Zbl 1088.34523
Brighi, Bernard; Hoernel, Jean-David
2005
On similarity solutions for boundary layer flows with prescribed heat flux. Zbl 1068.34026
Brighi, Bernard; Hoernel, Jean-David
2005
Recent advances on similarity solutions arising during free convection. Zbl 1092.34008
Brighi, Bernard; Hoernel, Jean-David
2005
Asymptotic behavior of solution of hyperbolic problems on a cylindrical domain. Zbl 1163.35428
Brighi, B.; Guesmia, S.
2007
Finite differences on triangular grids. Zbl 0926.65104
Brighi, Bernard; Chipot, Michel; Gut, Erich
1998
On elliptic boundary value problems of order $$2m$$ in cylindrical domain of large size. Zbl 1165.35353
Brighi, Bernard; Guesmia, Senoussi
2008
Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field. Zbl 1120.34009
Brighi, Bernard; Hoernel, Jean-David
2006
Similarity solutions for a boundary layer problem in porous media. (Solutions similaires pour un problème de couches limites en milieux poreux.) Zbl 1006.76092
Belhachmi, Zakaria; Brighi, Bernard; Taous, Khalid
2000
On the solutions of a boundary value problem arising in free convection with prescribed heat flux. Zbl 1192.34033
Aïboudi, Mohamed; Brighi, Bernard
2009
Existence of solutions and iterative approximations for nonlinear systems arising in free convection. Zbl 1176.35044
Brighi, Bernard; Guesmia, Senoussi
2009
Approximation of infima in the calculus of variations. Zbl 0937.65071
Brighi, Bernard; Chipot, Michel
1998
Approximation in nonconvex problems. Zbl 0793.41027
Brighi, B.; Chipot, M.
1993
Rank-one-convex and quasiconvex envelopes for functions depending on quadratic forms. Zbl 0903.49011
Bousselsal, M.; Brighi, B.
1997
On a boundary value problem associated to a differential equation $$f'''+ff''+2f^{\prime 2}=0$$. (Sur un problème aux limites associé à l’équation différentielle $$f'''+ff''+2f^{\prime 2}=0$$.) Zbl 1215.34036
Brighi, Bernard
2009
Similarity solutions of mixed convection boundary-layer flows in a porous medium. Zbl 1360.34063
Aïboudi, Mohammed; Bensari-Khelil, Ikram; Brighi, Bernard
2017
Steady free convection in a bounded and saturated porous medium. Zbl 1134.76059
Akesbi, Samir; Brighi, Bernard; Hoernel, Jean-David
2006
On some general semilinear elliptic problems with nonlinear boundary conditions. Zbl 0948.35047
Brighi, Bernard; Ramaswamy, Mythily
1999
Numerical simulations of free convection about a vertical flat plate embedded in a porous medium. Zbl 1015.80004
Belhachmi, Z.; Brighi, B.; Sac-Epee, J. M.; Taous, K.
2003
On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function. Zbl 0846.73010
Brighi, Bernard; Bousselsal, Mahmoud
1995
Similarity solutions for a model arising from high frequency excitation of liquid metal in an antisymmetric magnetic field. Zbl 1263.34035
Brighi, Bernard; Tsai, Je-Chiang
2012
On the convex and convex-concave solutions of opposing mixed convection boundary layer flow in a porous medium. Zbl 1470.76095
Aïboudi, M.; Boudjema Djeffal, K.; Brighi, B.
2018
On a nonlinear system of PDE’s arising in free convection. Zbl 1386.35036
Brighi, Bernard; Guesmia, Senoussi
2015
On the convex and convex-concave solutions of opposing mixed convection boundary layer flow in a porous medium. Zbl 1470.76095
Aïboudi, M.; Boudjema Djeffal, K.; Brighi, B.
2018
Similarity solutions of mixed convection boundary-layer flows in a porous medium. Zbl 1360.34063
Aïboudi, Mohammed; Bensari-Khelil, Ikram; Brighi, Bernard
2017
On a nonlinear system of PDE’s arising in free convection. Zbl 1386.35036
Brighi, Bernard; Guesmia, Senoussi
2015
The equation $$f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0$$ and the associated boundary value problems. Zbl 1267.34043
Brighi, Bernard
2012
Similarity solutions for a model arising from high frequency excitation of liquid metal in an antisymmetric magnetic field. Zbl 1263.34035
Brighi, Bernard; Tsai, Je-Chiang
2012
On the solutions of a boundary value problem arising in free convection with prescribed heat flux. Zbl 1192.34033
Aïboudi, Mohamed; Brighi, Bernard
2009
Existence of solutions and iterative approximations for nonlinear systems arising in free convection. Zbl 1176.35044
Brighi, Bernard; Guesmia, Senoussi
2009
On a boundary value problem associated to a differential equation $$f'''+ff''+2f^{\prime 2}=0$$. (Sur un problème aux limites associé à l’équation différentielle $$f'''+ff''+2f^{\prime 2}=0$$.) Zbl 1215.34036
Brighi, Bernard
2009
On the Blasius problem. Zbl 1158.34016
Brighi, Bernard; Fruchard, Augustin; Sari, Tewfik
2008
On a general similarity boundary layer equation. Zbl 1164.34006
Brighi, B.; Hoernel, J. D.
2008
On elliptic boundary value problems of order $$2m$$ in cylindrical domain of large size. Zbl 1165.35353
Brighi, Bernard; Guesmia, Senoussi
2008
Asymptotic behavior of solution of hyperbolic problems on a cylindrical domain. Zbl 1163.35428
Brighi, B.; Guesmia, S.
2007
On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium. Zbl 1125.34005
Brighi, Bernard; Hoernel, Jean-David
2006
Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field. Zbl 1120.34009
Brighi, Bernard; Hoernel, Jean-David
2006
Steady free convection in a bounded and saturated porous medium. Zbl 1134.76059
Akesbi, Samir; Brighi, Bernard; Hoernel, Jean-David
2006
Blowing-up coordinates for a similarity boundary layer equation. Zbl 1076.34028
Brighi, Bernard; Sari, Tewfik
2005
Asymptotic behavior of the unbounded solutions of some boundary layer equations. Zbl 1088.34523
Brighi, Bernard; Hoernel, Jean-David
2005
On similarity solutions for boundary layer flows with prescribed heat flux. Zbl 1068.34026
Brighi, Bernard; Hoernel, Jean-David
2005
Recent advances on similarity solutions arising during free convection. Zbl 1092.34008
Brighi, Bernard; Hoernel, Jean-David
2005
Numerical simulations of free convection about a vertical flat plate embedded in a porous medium. Zbl 1015.80004
Belhachmi, Z.; Brighi, B.; Sac-Epee, J. M.; Taous, K.
2003
On a similarity boundary layer equation. Zbl 1041.34009
Brighi, B.
2002
On a family of differential equations for boundary layer approximations in porous media. Zbl 0991.76084
Belhachmi, Zakaria; Brighi, Bernard; Taous, Khalid
2001
On the concave solutions of the Blasius equation. Zbl 0972.34015
Belhachmi, Z.; Brighi, B.; Taous, K.
2000
Similarity solutions for a boundary layer problem in porous media. (Solutions similaires pour un problème de couches limites en milieux poreux.) Zbl 1006.76092
Belhachmi, Zakaria; Brighi, Bernard; Taous, Khalid
2000
On some general semilinear elliptic problems with nonlinear boundary conditions. Zbl 0948.35047
Brighi, Bernard; Ramaswamy, Mythily
1999
Finite differences on triangular grids. Zbl 0926.65104
Brighi, Bernard; Chipot, Michel; Gut, Erich
1998
Approximation of infima in the calculus of variations. Zbl 0937.65071
Brighi, Bernard; Chipot, Michel
1998
Rank-one-convex and quasiconvex envelopes for functions depending on quadratic forms. Zbl 0903.49011
Bousselsal, M.; Brighi, B.
1997
On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function. Zbl 0846.73010
Brighi, Bernard; Bousselsal, Mahmoud
1995
Approximated convex envelope of a function. Zbl 0796.65009
Brighi, Bernard; Chipot, Michel
1994
Approximation in nonconvex problems. Zbl 0793.41027
Brighi, B.; Chipot, M.
1993
all top 5

Cited by 110 Authors

 8 Brighi, Bernard 7 Guesmia, Senoussi 6 Chipot, Michel 4 Tsai, Je-Chiang 3 Aly, Emad H. 3 Guedda, Mohammed 3 Hoernel, Jean-David 3 Varin, Victor P. 3 Wang, Chingan 3 Wang, Ruodu 2 Afzal, Noor 2 Benlahsen, Mohammed 2 Ebaid, Abdelhalim 2 Elfanni, Abdellah 2 Henderson, Johnny Lee 2 Hung, Shih-Hsun 2 Luskin, Mitchell 2 Mach, Jan 2 Oberman, Adam M. 2 Parand, Kourosh 2 Sengouga, Abdelmouhcene 2 Zhang, Zhongxin 1 Abbasbandy, Saeid 1 Ahmed, Sameh Elsayed 1 Ahn, Soyoung 1 Aïboudi, Mohamed 1 Aiboudi, Mohammed 1 Al-Armani, Nwaf 1 Amkadni, Maryem 1 Aranda, Ernesto 1 Auzinger, Winfried 1 Awati, Vishwanath B. 1 Azouz, Salima 1 Azzouzi, Adnane 1 Baharifard, Fatemeh 1 Bartels, Sören 1 Bělík, Pavel 1 Bervillier, Claude 1 Böhlke, Thomas 1 Bouazzaoui, Khaled 1 Boudjema Djeffal, K. 1 Boussaid, Omar 1 Bujurke, Nagendrappa M. 1 Cai, Jun 1 Carlsson, Marcus 1 Carstensen, Carsten 1 Chatzipantelidis, Panagiotis 1 Conte, Robert Maurice 1 Dacorogna, Bernard 1 Dang, Lanfen 1 Dehghan Takht Fooladi, Mehdi 1 Efendiev, Yalchin R. 1 Evéquoz, Gilles 1 Fang, Tiegang 1 Fazio, Riccardo 1 Ge, Weigao 1 Graef, John R. 1 Guo, Jong-Shenq 1 Haeberly, Jean-Pierre A. 1 Hinterberger, Walter 1 Hiriart-Urruty, Jean-Baptiste 1 Jaguaribe, Emerson Freitas 1 Kabel, Matthias 1 Kadhi, Fethi 1 Kechkar, Rokia 1 Kersner, Robert 1 Khandelwal, Rachana 1 Khandelwal, Yogesh 1 Kim, Philsu 1 Kim, Sangdong 1 Knees, Dorothee 1 Koch, Othmar 1 Lee, Chia-fon F. 1 Liang, Wei 1 Liu, Haiyan 1 Llibre, Jaume 1 López-Cerdá, Marco Antonio 1 Luca, Rodica 1 Lucet, Yves 1 Mackerle, Jaroslav 1 Magyari, Eugen 1 Mahabaleswar, U. S. 1 Moulay, Mohamed Said 1 Ng, Tuen-Wai 1 Ouahsine, Abdellatif 1 Pedregal, Pablo 1 Peres, Sámuel 1 Plecháč, Petr 1 Praetorius, Dirk 1 Roubíček, Tomáš 1 Sachdev, P. L. 1 Scherzer, Otmar 1 Schneider, Matti 1 Siddheshwar, Pradeep G. 1 Siginer, Dennis A. 1 Taghavi Jelodar, Ali 1 Tapdigoglu, Ramiz G. 1 Tian, Yu 1 Torebek, Berikbol Tillabayuly 1 Valls Anglés, Cláudia ...and 10 more Authors
all top 5

Cited in 58 Serials

 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 6 Applied Mathematics Letters 3 Abstract and Applied Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 European Journal of Mechanics. B. Fluids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Nonlinear Analysis. Real World Applications 2 International Journal of Applied and Computational Mathematics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Computing 1 Czechoslovak Mathematical Journal 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Revista Matemática Iberoamericana 1 Computational Mechanics 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 Finance and Stochastics 1 Journal of Applied Analysis 1 Mathematical Finance 1 Communications in Nonlinear Science and Numerical Simulation 1 Engineering Computations 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Differential Equations & Nonlinear Mechanics 1 Proceedings of the Steklov Institute of Mathematics 1 International Journal of Differential Equations 1 Journal of Elliptic and Parabolic Equations
all top 5

Cited in 18 Fields

 33 Ordinary differential equations (34-XX) 32 Fluid mechanics (76-XX) 22 Numerical analysis (65-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Partial differential equations (35-XX) 6 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)