WorldCat Identities

Berestycki, H. (Henri)

Overview
Works: 67 works in 138 publications in 2 languages and 1,097 library holdings
Genres: Conference papers and proceedings  Exhibition catalogs 
Roles: Editor, Author, Thesis advisor, Opponent, 956, Interviewee
Publication Timeline
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Most widely held works by H Berestycki
Recent contributions to nonlinear partial differential equations by H Brézis( Book )

14 editions published between 1980 and 1981 in English and Undetermined and held by 274 WorldCat member libraries worldwide

Variational methods : proceedings of a conference, Paris, June 1988 by H Berestycki( Book )

11 editions published in 1990 in English and held by 187 WorldCat member libraries worldwide

In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien­ tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat­ ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap­ plications from various domains of sciences and industrial applica­ tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat­ ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics -- Provided by the publisher
Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis( Book )

10 editions published in 2007 in English and held by 185 WorldCat member libraries worldwide

In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges. In his own work, Brezis has been a seminal influence in many important areas: critical growth in semi-linear equations, variational analysis of functionals in borderline compactness cases, vector valued equations, the Ginzburg-Landau theory, as well as generalized degree theory and fine properties of Sobolev spaces. This same breadth is reflected in the mathematics in this collection. -- Book cover
Nonlinear PDE's in condensed matter and reactive flows by H Berestycki( Book )

14 editions published between 2002 and 2003 in English and held by 95 WorldCat member libraries worldwide

Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media
Elliptic and parabolic problems : a special tribute to the work of Haim Brezis by Catherine Bandle( Book )

8 editions published between 2005 and 2006 in English and Undetermined and held by 22 WorldCat member libraries worldwide

Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis. He is an inspiring teacher and counsellor of many mathematicians in the front ranks. The collection of papers presented in this volume, reflect Brezis's elegant way of creative thinking
Quelques aspects mathematiques de la propagation des flammes premelangees by H Berestycki( Book )

5 editions published in 1988 in French and held by 8 WorldCat member libraries worldwide

Théorie du degré topologique et applications à des problémes aux limites non linéaires by Paul H Rabinowitz( Book )

2 editions published in 1975 in French and held by 8 WorldCat member libraries worldwide

Etude mathématique et modélisation numérique de phénomènes de combustion by B Larrouturou( Book )

1 edition published in 1987 in French and held by 7 WorldCat member libraries worldwide

A l'aide de différents modèles décrivant la combustion d'un mélange gazeux réactif dans une configuration géométrique simple monodimensionnelle ou bidimensionnelle, on étudie la propagation d'une flamme dans un mélange gazeux contenu dans un tube infini, et les phénomènes qui lui sont liés: accrochage du front de flamme par point chaud, extinction par des pertes de chaleur ou apparition d'instabilites
A Numerical study of some questions in vortex rings theory by H Berestycki( Book )

3 editions published in 1982 in English and held by 7 WorldCat member libraries worldwide

Gérard Garouste : Walpurgisnachtstraum = songe d'une nuit de Walpurgis by Gérard Garouste( Book )

2 editions published in 2011 in French and English and held by 7 WorldCat member libraries worldwide

QUELQUES PROBLEMES D'EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON LINEAIRES ET APPLICATIONS A DES MODELES EN SUPRACONDUCTIVITE ET EN COMBUSTION by Amandine Aftalion( Book )

1 edition published in 1997 in French and held by 7 WorldCat member libraries worldwide

LES TRAVAUX PRESENTES DANS CETTE THESE PORTENT SUR CERTAINS PROBLEMES D'EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON LINEAIRES ET S'ORGANISENT AUTOUR DE TROIS THEMES PRINCIPAUX : LE MODELE DE GINZBURG ET LANDAU DES SUPRACONDUCTEURS, UN MODELE DE FLAMMES ET L'ETUDE DE PROPRIETES QUALITATIVES DE SOLUTIONS D'EDP ELLIPTIQUES. LA PREMIERE PARTIE EST CONSACREE A L'ETUDE DE QUELQUES PROBLEMES MATHEMATIQUES POUR LES SUPRACONDUCTEURS DE TYPE II, CARACTERISES PAR UN PARAMETRE DE GINZBURG-LANDAU GRAND. ON EST ALORS RAMENE A L'ETUDE ASYMPTOTIQUE DU COMPORTEMENT DES MINIMISEURS D'UNE FONCTIONNELLE D'ENERGIE, DEPENDANT DE , QUAND TEND VERS L'INFINI. LES DEUX GEOMETRIES ENVISAGEES, LA PLAQUE INFINIE ET LE CYLINDRE INFINI, PRESENTENT DES COMPORTEMENTS TRES DIFFERENTS. LA DEUXIEME PARTIE PORTE SUR L'ANALYSE D'UN MODELE DE COMBUSTION, LA FLAMME AVEC POINT DE STAGNATION : QUAND ON ENVOIE UN JET BIDIMENSIONNEL DE COMBUSTIBLE SUR UN MUR CHAUFFE, UNE FLAMME SE FORME AU VOISINAGE DE LA PLAQUE SI LA VITESSE DU JET N'EST PAS TROP GRANDE. IL S'AGIT D'ETUDIER MATHEMATIQUEMENT LE NOMBRE DE POSITIONS POSSIBLES POUR LE FRONT DE FLAMME EN FONCTION DE LA VITESSE INITIALE DU JET. DANS LA TROISIEME PARTIE SONT PRESENTES QUELQUES RESULTATS QUALITATIFS POUR DIVERSES CLASSES D'EDP ELLIPTIQUES. ON PROUVE EN PARTICULIER LA SYMETRIE DES SOLUTIONS DE PROBLEMES SURDETERMINES POSES DANS DIFFERENTS TYPES DE DOMAINES NON BORNES : DOMAINES EXTERIEURS ET CYLINDRES NOTAMMENT. ON ETUDIE ENFIN LA MULTIPLICITE DES SOLUTIONS D'EQUATIONS A DONNEE AU BORD SINGULIERE. DANS TOUS CES PROBLEMES, ON CHERCHE DES ESTIMATIONS A PRIORI ET DES THEOREMES DE COMPACITE. LES PRINCIPAUX OUTILS UTILISES SONT LE PRINCIPE DU MAXIMUM, LES METHODES DE SUR ET SOUS SOLUTIONS, DE DEPLACEMENT D'HYPERPLANS ET LA THEORIE DU DEGRE TOPOLOGIQUE
Sharp existence results for a class of semilinear elliptic problems by H Berestycki( Book )

4 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide

In this paper a semilinear elliptic second-order problem is considered. Under very general assumptions we give a precise description of the number of solutions of the problem
Mathematical modelling of planar flame propagation by H Berestycki( Book )

2 editions published between 1993 and 1997 in English and held by 5 WorldCat member libraries worldwide

Multi-dimensional travelling-wave solutions of a flame propagation model by H Berestycki( Book )

2 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide

Equations aux dérivées partielles non-linéaires et ondes progressives by Sonia Sellami-Omrani( Book )

1 edition published in 1993 in French and held by 4 WorldCat member libraries worldwide

Nous nous intéressons dans cette thèse à divers problèmes d'équations aux dérivées partielles elliptiques non-linéaires dans la première partie, nous construisons un contre-exemple pour montrer un résultat de non-existence de solutions d'ondes progressives pour un modèle intervenant en combustion dans un domaine cylindrique infini en dimension trois. L'objet de la deuxième partie est l'existence de solutions d'une équation semi-linéaire dans un cylindre fini, faisant intervenir le gradient dans le terme non-linéaire. Les conditions aux bords sont mixtes de type Dirichlet et Newmann. Nous utilisons la méthode de sous- et sur-solutions. La difficulté ici est le fait que le domaine possède des coins. Dans la troisième partie, nous étudions comme dans la première partie l'existence d'ondes progressives dans un domaine cylindrique infini dans le cas où le terme source change plusieurs fois de signe. Nous établissons une condition nécessaire et suffisante pour l'existence d'une onde. Enfin la quatrième partie a pour objet l'étude de la symétrie de solutions positives d'une équation aux dérivées partielles elliptique semi-linéaire dans des domaines sectoriels avec des conditions aux bords mixtes de Dirichlet et Newmann et utilise des développements récents sur la méthode de déplacement d'hyperplans
Contributions a l'etude des problemes aux limites elliptiques non-lineaires by H Berestycki( Book )

1 edition published in 1980 in French and held by 4 WorldCat member libraries worldwide

PROBLEMES DU TYPE BIFURCATION: LE NOMBRE DE SOLUTIONS DE CERTAINS PROBLEMES SEMI-LINEAIRRES ELLIPTIQUES; CERTAINS PROBLEMES DE STURM-LIOUVILLE NON LINEAIRES. PROBLEMES DU TYPE FRONTIERE LIBRE. EQUATIONS DE CHAMPS SCALAIRES NON LINEAIRES: PROBLEMES SEMILINEAIRES ELLIPTIQUES DANS R**(N), UNE METHODE LOCALE POUR L'EXISTENCE DE SOLUTIONS POSITIVES, UNE METHODE D'EQUATION DIFFERENTIELLE ORDINAIRE, EXISTENCE D'UN ETAT FONDAMENTAL, EXISTENCE D'UNE INFINITE D'ETATS LIES
Singularities and concentration phenomena in nonlinear elliptic and parabolic PDE's : January 27th - February 2nd, 2002( Book )

1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide

Contributions à l'étude de problèmes semi-linéaires by Leo Glangetas( Book )

1 edition published in 1990 in French and held by 4 WorldCat member libraries worldwide

LA THESE SE COMPOSE DE TROIS PARTIES. LA PREMIERE PARTIE EST L'ETUDE DE LA LIMITE SINGULIERE DES SOLUTIONS D'UN SYSTEME D'EQUATIONS DIFFERENTIELLES INTERVENANT EN COMBUSTION. DANS LA SECONDE PARTIE, NOUS DEMONTRONS UN RESULTAT D'UNICITE D'UNE EQUATION SEMILINEAIRE ELLIPTIQUE AVEC EXPOSANT CRITIQUE DANS UN OUVERT BORNE GENERAL. LA TROISIEME PARTIE CONCERNE DES PROPRIETES GEOMETRIQUES ET TOPOLOGIQUES FU FLOT ASSOCIE A UNE EQUATION DE LA CHALEUR SEMILINEAIRE. EN PARTICULIER, ON ETABLIT CERTAINES RELATIONS ENTRE LES SOLUTIONS QUI TENDENT VERS UN ETAT STABLE QUAND LE TEMPS TEND VERS L'INFINI ET DES PROPRIETES GEOMETRIQUES DE LA FONCTIONNELLE ENERGIE
Reaction-diffusion equations and propagation phenomena by H Berestycki( Book )

1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide

METHODES TOPOLOGIQUES ET PROBLEMES AUX LIMITES NON LINEAIRES by H Berestycki( Book )

1 edition published in 1975 in French and held by 3 WorldCat member libraries worldwide

THEORIE ABSTRAITE DU DEGRE TOPOLOGIQUE. DEFINITION DU DEGRE EN DIMENSION FINIE. LE THEOREME DE BORSUK ET SES APPLICATIONS. PROPRIETE MULTIPLICATIVE DU DEGRE. THEORIE DU DEGRE POUR LES APPLICATIONS HOLOMORPHES. THEORIE DU DEGRE EN DIMENSION INFINIE. APPLICATIONS DU DEGRE TOPOLOGIQUE. RESOLUTION DE CERTAINES EQUATIONS QUASILINEAIRES ELLIPTIQUES DU SECOND ORDRE. CONNEXITE DE L'ENSEMBLE DES SOLUTIONS D'UNE EQUATION DIFFERENTIELLE. LE THEOREME DE KNESER-KUKUHARA. RESULTATS GLOBAUX DANS LES PROBLEMES DE VALEUR PROPRES NON LINEAIRES ET APPLICATIONS. EXISTENCE DE PAIRES DE SOLUTIONS DANS DES PROBLEMES NON LINEAIRES
 
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Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis
Alternative Names
Berestycki, H.

Berestycki, H. 1951-

Berestycki, Henri

Henri Berestycki Frans wiskundige

Henri Berestycki fransk matematikar

Henri Berestycki fransk matematiker

Henri Berestycki französischer Mathematiker

Henri Berestycki French mathematician

Henri Berestycki matemático francés

Henri Berestycki mathématicien français

Languages
English (69)

French (14)

Covers
Nonlinear PDE's in condensed matter and reactive flowsElliptic and parabolic problems : a special tribute to the work of Haim Brezis