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Author ID: cornille.henri Recent zbMATH articles by "Cornille, Henri"
Published as: Cornille, H.; Cornille, Henri
Documents Indexed: 69 Publications since 1961
Co-Authors: 10 Co-Authors with 19 Joint Publications
235 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 132 times in 95 Documents Cited by Year
Shock waves for a discrete velocity gas mixture. Zbl 0972.82072
Cercignani, Carlo; Cornille, Henri
10
2000
Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions. Zbl 0425.35087
Cornille, Henri
9
1979
Exact solutions of the Broadwell model in \(1+1\) dimensions. Zbl 0624.76106
Cornille, H.
8
1987
Existence and uniqueness of crossing symmetric N/D-type equations corresponding to the Klein-Gordon equation. Zbl 0198.59903
Cornille, H.
6
1970
General solution of a Boltzmann equation, and the formation of Maxwellian tails. Zbl 0488.76081
Barnsley, M.; Cornille, H.
6
1981
Solutions of the nonlinear 3-wave equations in three spatial dimensions. Zbl 0425.35088
Cornille, H.
6
1979
On a class of solutions of the Krook-Tjon-Wu model of the Boltzmann equation. Zbl 0443.76066
Barnsley, M.; Cornille, H.
6
1980
Exact solutions in \(1+1\) dimensions of the general two-velocity discrete Illner model. Zbl 0641.76070
Cornille, Henri
4
1987
Powerlike decreasing solutions of the Boltzmann equation for a Maxwell gas. Zbl 0514.76072
Cornille, H.; Gervois, A.
4
1981
Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation. Zbl 0564.35007
Cornille, Henri
4
1985
Construction of positive exact \((2+1)\)-dimensional shock wave solutions for two discrete Boltzmann models. Zbl 1084.82542
Cornille, Henri
4
1988
A class of planar discrete velocity models for gas mixtures. Zbl 0959.82023
Cornille, Henri; Cercignani, Carlo
4
2000
Riccati-coupled similarity shock waves solutions for multispeed discrete Boltzmann models. Zbl 0943.82572
Cornille, H.; Płatkowski, T.
4
1993
Bi-solitons for a class of non-linear equations with quadratic non-linearity. I. Zbl 1194.35296
Cornille, H.; Gervois, A.
4
1982
Two-velocity discrete Boltzmann models: Positivity and the H-theorem. Zbl 0695.60100
Cornille, Henri
3
1990
Connection between the existence of bisolitons for quadratic nonlinearities and a factorization of the associate linear operator. Zbl 0543.35091
Cornille, H.; Gervois, A.
3
1983
On a class of nonintegrable equations in \(1+1\) dimensions with factorized associated linear operators. Zbl 0565.35099
Cornille, Henri
3
1984
Differential equations satisfied by Fredholm determinants and application to the inversion formalism for parameter dependent potentials. Zbl 0335.35026
Cornille, Henri
3
1976
Exact \((1+1)\)-dimensional solutions of discrete planar velocity Boltzmann models. Zbl 1084.82543
Cornille, Henri
3
1987
Generalization of the inversion equations and application to nonlinear partial differential equations. I. Zbl 0366.35025
Cornille, Henri
3
1977
Large size planar discrete velocity models for gas mixtures. Zbl 0995.82512
Cornille, Henri; Cercignani, Carlo
3
2001
Criteria for inverted temperatures in evaporation-condensation processes. Zbl 0860.76045
Cornille, H.; d’Almeida, A.
3
1996
An inversionlike integral equation in the multidimensional case. Zbl 0383.35002
Cornille, Henri
3
1978
Exact solutions for discrete kinetic models with ternary collisions. Zbl 0663.76086
Cornille, Henri
2
1988
Positive \((2+1)\)-dimensional exact shock waves solutions to the Broadwell model. Zbl 0668.76092
Cornille, Henri
2
1989
Semi-inhomogeneous solutions of the Kac model of Boltzmann equations. Zbl 0581.35067
Cornille, H.
2
1985
Oscillating and absolute Maxwellians: Exact solutions for \((d>1)\)- dimensional Boltzmann equations. Zbl 0592.76113
Cornille, Henri
2
1986
(1+1)-dimensional hierarchies of multispeed discrete Boltzmann model equations. Zbl 0850.76605
Cornille, Henri
2
1991
Propriétés analytiques de l’amplitude de diffusion de deux particules chargees interagissant par un potentiel du type de Yukawa. Zbl 0126.24206
Cornille, H.; Martin, A.
2
1962
Solutions exactes pour un modèle de Boltzmann discrétisé unidimensionnel satisfaisant à toutes les lois de conservation. (Exact solutions for a discrete unidimensional Boltzmann model satisfying all conservation laws). Zbl 0683.76063
Cornille, Henri; Qian, Yue-Hong
1
1989
Exact solutions for the discrete Boltzmann models with specular reflection. Zbl 0695.35207
Cornille, Henri
1
1988
Exact solutions for nonconservative discrete velocity models. Zbl 0956.82022
Cornille, H.
1
2000
Discrete velocity models and one continuous relation. Zbl 1061.82023
Cornille, H.
1
2004
Hexagonal discrete Boltzmann models with and without rest particles. Zbl 1081.82615
Cornille, H.
1
1995
Nested-squares discrete Boltzmann models with arbitrary number of velocities satisfying a continuous theory relation. Zbl 0917.76076
Cornille, H.
1
1997
Half-space large size discrete velocity models. Zbl 1090.82027
Cornille, Henri
1
2003
Confined solutions of multidimensional inversion equations. Zbl 0378.35009
Cornille, Henri
1
1978
Generalization of the inversionlike integral equations and application to nonlinear partial differential equations. II. Zbl 0414.35017
Cornille, Henri
1
1978
Bi-solitons for a class of non-linear equations with quadratic non-linearity. II. Zbl 1194.35297
Cornille, H.; Gervois, A.
1
1982
Méthodes d’approximation pour la détermination de potentiels semiphénoménologiques nucléon-nucléon. Zbl 0099.23302
Cornille, H.
1
1961
Singular potentials with short range. Zbl 0128.21804
Cornille, H.; Predazzi, E.
1
1965
Two multispeed discrete Boltzmann models including multiple collisions. I: Similarity solutions. II: Stability properties. Zbl 0822.76080
Cornille, H.; Płatkowski, T.
1
1994
Positive similarity solutions for a discrete velocity Boltzmann coagulation-fragmentation model. Zbl 0832.76085
Cornille, H.; Iklé, M.
1
1995
Discrete velocity models and one continuous relation. Zbl 1061.82023
Cornille, H.
1
2004
Half-space large size discrete velocity models. Zbl 1090.82027
Cornille, Henri
1
2003
Large size planar discrete velocity models for gas mixtures. Zbl 0995.82512
Cornille, Henri; Cercignani, Carlo
3
2001
Shock waves for a discrete velocity gas mixture. Zbl 0972.82072
Cercignani, Carlo; Cornille, Henri
10
2000
A class of planar discrete velocity models for gas mixtures. Zbl 0959.82023
Cornille, Henri; Cercignani, Carlo
4
2000
Exact solutions for nonconservative discrete velocity models. Zbl 0956.82022
Cornille, H.
1
2000
Nested-squares discrete Boltzmann models with arbitrary number of velocities satisfying a continuous theory relation. Zbl 0917.76076
Cornille, H.
1
1997
Criteria for inverted temperatures in evaporation-condensation processes. Zbl 0860.76045
Cornille, H.; d’Almeida, A.
3
1996
Hexagonal discrete Boltzmann models with and without rest particles. Zbl 1081.82615
Cornille, H.
1
1995
Positive similarity solutions for a discrete velocity Boltzmann coagulation-fragmentation model. Zbl 0832.76085
Cornille, H.; Iklé, M.
1
1995
Two multispeed discrete Boltzmann models including multiple collisions. I: Similarity solutions. II: Stability properties. Zbl 0822.76080
Cornille, H.; Płatkowski, T.
1
1994
Riccati-coupled similarity shock waves solutions for multispeed discrete Boltzmann models. Zbl 0943.82572
Cornille, H.; Płatkowski, T.
4
1993
(1+1)-dimensional hierarchies of multispeed discrete Boltzmann model equations. Zbl 0850.76605
Cornille, Henri
2
1991
Two-velocity discrete Boltzmann models: Positivity and the H-theorem. Zbl 0695.60100
Cornille, Henri
3
1990
Positive \((2+1)\)-dimensional exact shock waves solutions to the Broadwell model. Zbl 0668.76092
Cornille, Henri
2
1989
Solutions exactes pour un modèle de Boltzmann discrétisé unidimensionnel satisfaisant à toutes les lois de conservation. (Exact solutions for a discrete unidimensional Boltzmann model satisfying all conservation laws). Zbl 0683.76063
Cornille, Henri; Qian, Yue-Hong
1
1989
Construction of positive exact \((2+1)\)-dimensional shock wave solutions for two discrete Boltzmann models. Zbl 1084.82542
Cornille, Henri
4
1988
Exact solutions for discrete kinetic models with ternary collisions. Zbl 0663.76086
Cornille, Henri
2
1988
Exact solutions for the discrete Boltzmann models with specular reflection. Zbl 0695.35207
Cornille, Henri
1
1988
Exact solutions of the Broadwell model in \(1+1\) dimensions. Zbl 0624.76106
Cornille, H.
8
1987
Exact solutions in \(1+1\) dimensions of the general two-velocity discrete Illner model. Zbl 0641.76070
Cornille, Henri
4
1987
Exact \((1+1)\)-dimensional solutions of discrete planar velocity Boltzmann models. Zbl 1084.82543
Cornille, Henri
3
1987
Oscillating and absolute Maxwellians: Exact solutions for \((d>1)\)- dimensional Boltzmann equations. Zbl 0592.76113
Cornille, Henri
2
1986
Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation. Zbl 0564.35007
Cornille, Henri
4
1985
Semi-inhomogeneous solutions of the Kac model of Boltzmann equations. Zbl 0581.35067
Cornille, H.
2
1985
On a class of nonintegrable equations in \(1+1\) dimensions with factorized associated linear operators. Zbl 0565.35099
Cornille, Henri
3
1984
Connection between the existence of bisolitons for quadratic nonlinearities and a factorization of the associate linear operator. Zbl 0543.35091
Cornille, H.; Gervois, A.
3
1983
Bi-solitons for a class of non-linear equations with quadratic non-linearity. I. Zbl 1194.35296
Cornille, H.; Gervois, A.
4
1982
Bi-solitons for a class of non-linear equations with quadratic non-linearity. II. Zbl 1194.35297
Cornille, H.; Gervois, A.
1
1982
General solution of a Boltzmann equation, and the formation of Maxwellian tails. Zbl 0488.76081
Barnsley, M.; Cornille, H.
6
1981
Powerlike decreasing solutions of the Boltzmann equation for a Maxwell gas. Zbl 0514.76072
Cornille, H.; Gervois, A.
4
1981
On a class of solutions of the Krook-Tjon-Wu model of the Boltzmann equation. Zbl 0443.76066
Barnsley, M.; Cornille, H.
6
1980
Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions. Zbl 0425.35087
Cornille, Henri
9
1979
Solutions of the nonlinear 3-wave equations in three spatial dimensions. Zbl 0425.35088
Cornille, H.
6
1979
An inversionlike integral equation in the multidimensional case. Zbl 0383.35002
Cornille, Henri
3
1978
Confined solutions of multidimensional inversion equations. Zbl 0378.35009
Cornille, Henri
1
1978
Generalization of the inversionlike integral equations and application to nonlinear partial differential equations. II. Zbl 0414.35017
Cornille, Henri
1
1978
Generalization of the inversion equations and application to nonlinear partial differential equations. I. Zbl 0366.35025
Cornille, Henri
3
1977
Differential equations satisfied by Fredholm determinants and application to the inversion formalism for parameter dependent potentials. Zbl 0335.35026
Cornille, Henri
3
1976
Existence and uniqueness of crossing symmetric N/D-type equations corresponding to the Klein-Gordon equation. Zbl 0198.59903
Cornille, H.
6
1970
Singular potentials with short range. Zbl 0128.21804
Cornille, H.; Predazzi, E.
1
1965
Propriétés analytiques de l’amplitude de diffusion de deux particules chargees interagissant par un potentiel du type de Yukawa. Zbl 0126.24206
Cornille, H.; Martin, A.
2
1962
Méthodes d’approximation pour la détermination de potentiels semiphénoménologiques nucléon-nucléon. Zbl 0099.23302
Cornille, H.
1
1961
all top 5

Cited by 104 Authors

29 Cornille, Henri
5 Bobylev, Alexandre Vasiljévitch
4 Gervois, Annie
4 Płatkowski, Tadeusz
3 Martínez Gamba, Irene
3 Spiga, Giampiero
2 Ablowitz, Mark Jay
2 Bairamov, Elgiz
2 Bernhoff, Niclas
2 Boffi, Vinicio C.
2 Cabannes, Henri
2 d’Almeida, Amah Séna
2 Hayashi, Nakao
2 Herod, James V.
2 Illner, Reinhard
2 Tharkabhushanam, Sri Harsha
2 Vinerean, Mirela C.
1 Adzhiev, S. Z.
1 Agmon, Shmuel
1 Amossov, Stepan A.
1 Azmy, Yousry Y.
1 Barnsley, Michael Fielding
1 Barrachina, R. O.
1 Beyer, William A.
1 Bose, Christopher J.
1 Brodnicka, Roksana
1 Cakar, Oner
1 Caraffini, Gian Luca
1 Cassinari, Maria Paola
1 Çelebi, Ahmet Okay
1 Cercignani, Carlo
1 Chern, Huahuai
1 Chun, Changbum
1 Conte, Robert Maurice
1 Cui, Shangbin
1 de Alfaro, Vittorio
1 d’Humières, Dominique
1 Dukhnovsky, Sergey
1 Eden, Alp
1 Erbay, Saadet
1 Ernst, Matthieu H.
1 Fernández-Camacho, María-Inés
1 Fokas, Athanassios S.
1 Gacki, Henryk
1 Garibotti, C. R.
1 Gegenhasi
1 Golse, François
1 Guil, Francisco
1 Güldü, Yalçın
1 Gülyaz, Selma
1 Hacinliyan, Irma
1 Hryniv, Rostyslav O.
1 Hwang, Hsien-Kuei
1 Ilyin, O. V.
1 Ilyin, Oleg
1 Ismailov, Mansur I.
1 Jory, Virginia Vickery
1 Kamimura, Yutaka
1 Kaup, David J.
1 Klein, Markus
1 Lakshtanov, Evgeny L.
1 Lallemand, Pierre
1 Lasota, Andrzej
1 Leon, Jérôme J. P.
1 Li, Minshan
1 Linares, Felipe
1 Lu, Xianqing
1 Mañas, Manuel
1 Mandrekas, J.
1 Manko, Stepan S.
1 Martínez, Conrado
1 Mei, Shengwei
1 Melikhov, I. V.
1 Monaco, Roberto
1 Musette, Micheline
1 Nizhnik, Leonid Pavlovich
1 Nonnenmacher, Theo F.
1 Osland, Per
1 Pandolfi Bianchi, Miriam
1 Passty, Gregory Bohdan
1 Piechór, Kazimierz
1 Pochinajko, M. D.
1 Ponce, Gustavo
1 Predazzi, Enrico
1 Protopopescu, Vladimir A.
1 Ramani, Alfred
1 Rupp, Daniela
1 Sakthivel, Rathinasamy
1 Segur, Harvey
1 Sung, Li-Yeng
1 Tenenblat, Keti
1 Ukai, Seiji
1 Vaĭnberg, Boris Rufimovich
1 Vassiliou, Peter John
1 Vedenyapin, Victor V.
1 Vein, P. R.
1 Wagner, Wolfgang
1 Wang, Achilaltu
1 Wang, Zhong
1 Winternitz, Pavel
...and 4 more Authors
all top 5

Cited in 42 Serials

24 Journal of Mathematical Physics
12 Transport Theory and Statistical Physics
11 Journal of Statistical Physics
3 Physica D
2 Journal of Mathematical Analysis and Applications
2 Theoretical and Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Il Nuovo Cimento, X. Series
1 Acta Mechanica
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Journal of Functional Analysis
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 Random Structures & Algorithms
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Journal of Nonlinear Science
1 Physics of Fluids
1 Journal of Inverse and Ill-Posed Problems
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 European Journal of Mechanics. B. Fluids
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Frontiers of Mathematics in China
1 Science China. Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications

Citations by Year