Bethuel Fabrice (30 results)
Language: English
Published by Birkhauser Basel, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
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Language: English
Published by Birkhäuser, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
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Calculus of Variations and Geometric Evolution Problems : Lectures Given at the 2nd Session of the Centro Internazionale Estivo (C.I.M.E.) Held in Cetraro, Italy, June 15-22, 1996
Bethuel, Fabrice (EDT); Huisken, G.; Mueller, S.; Steffen, K.; Polden, A.; Dold, A. (EDT); Takens, F. (EDT); Teissier, B. (EDT); Hildebrandt, Stefan (EDT); Struwe, Michael (EDT)
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Calculus of Variations and Geometric Evolution Problems : Lectures Given at the 2nd Session of the Centro Internazionale Estivo (C.I.M.E.) Held in Cetraro, Italy, June 15-22, 1996
Bethuel, Fabrice (EDT); Huisken, G.; Mueller, S.; Steffen, K.; Polden, A.; Dold, A. (EDT); Takens, F. (EDT); Teissier, B. (EDT); Hildebrandt, Stefan (EDT); Struwe, Michael (EDT)
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Softcover. Condition: Sehr gut. Lectures Given at the 2nd Session of the C.I.M.E. held in Cetraro, Italy, June 15-22, 1996. Ed. by S. Hildebrandt & M. Struwe. Berlin, Springer (1999). 294 p. Pbck. Lecture Notes in Mathematics, 1713.- Contributions: F. Bethuel Variational Methods for Ginzburg-Landau Equations.- G. Huisken & A. Po…lden Geometric Evolution Equations for Hypersurfaces.- S. Müller Variational Models for Microstructure and Phase Transitions.- K. Steffen Parametric Surfaces of Prescribed Curvature.
Calculus of Variations and Geometric Evolution Problems : Lectures Given at the 2nd Session of the Centro Internazionale Estivo (C.I.M.E.) Held in Cetraro, Italy, June 15-22, 1996
Bethuel, Fabrice (EDT); Huisken, G.; Mueller, S.; Steffen, K.; Polden, A.; Dold, A. (EDT); Takens, F. (EDT); Teissier, B. (EDT); Hildebrandt, Stefan (EDT); Struwe, Michael (EDT)
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Calculus of Variations and Geometric Evolution Problems : Lectures Given at the 2nd Session of the Centro Internazionale Estivo (C.I.M.E.) Held in Cetraro, Italy, June 15-22, 1996
Bethuel, Fabrice (EDT); Huisken, G.; Mueller, S.; Steffen, K.; Polden, A.; Dold, A. (EDT); Takens, F. (EDT); Teissier, B. (EDT); Hildebrandt, Stefan (EDT); Struwe, Michael (EDT)
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paperback. Condition: Sehr gut. 200 Seiten; 9783031872013.2 Gewicht in Gramm: 500.
Language: English
Published by Birkhäuser, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Language: English
Published by Birkhauser Boston Inc, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Condition: New. The mathematics in this book apply directly to classical problems in superconductors, superfluids and liquid crystals. It should be of interest to mathematicians, physicists and engineers working on modern materials research. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages:…190 pages, biography. BIC Classification: PBKJ; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 233 x 158 x 11. Weight in Grams: 298. . 1994. Paperback. . . . .
Language: English
Published by Springer Nature Switzerland, Springer Nature Switzerland, 2025
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This bookpresents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Science, based on lectures given at the CIME summer school Variational and PDE Methods in Nonlinear Science , held in Cetraro (Italy),…July 10 14, 2023.Fabrice Bethuel discusses aympototics for Allen Cahn systems, providing an overview of classical methods and tools for the scalar case and further results for the two-dimensional vectorial case. An alternate monotonicity formula is described, and the still open parabolic vectorial case is considered. Angkana Rüland considers the modelling and analysis of microstructures in shape-memory alloys, including material on quasiconvexity, differential inclusions, rigidity of the two-well problem under BV-regularity assumptions, and recent results on the quantitative dichotomy between rigidity and flexibility. Duvan Henao focuses on existence theory in nonlinear elasticity, where a central role is played by the Jacobian determinant. The methods developed have implications for the analysis of magnetoelasticity and nematic elastomers. The volume is aimed at graduate students and researchers interested in the applications of PDEs and the calculus of variations to the theory of phase transitions, fluid dynamics, materials science, and elasticity theory.
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Taschenbuch. Condition: Neu. Variational and PDE Methods in Nonlinear Science | Cetraro, Italy 2023 | Fabrice Bethuel (u. a.) | Taschenbuch | Lecture Notes in Mathematics | ix | Englisch | 2025 | Springer | EAN 9783031872013 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[d…ot]hartmann[at]springer[dot]com | Anbieter: preigu.
More imagesLanguage: English
Published by Birkhäuser, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Taschenbuch. Condition: Neu. Ginzburg-Landau Vortices | Fabrice Bethuel (u. a.) | Taschenbuch | Progress in Nonlinear Differential Equations and Their Applications | xxvii | Englisch | 1994 | Birkhäuser | EAN 9780817637231 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger P…latz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Language: English
Published by Birkhauser Boston Inc, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Condition: New. The mathematics in this book apply directly to classical problems in superconductors, superfluids and liquid crystals. It should be of interest to mathematicians, physicists and engineers working on modern materials research. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages:…190 pages, biography. BIC Classification: PBKJ; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 233 x 158 x 11. Weight in Grams: 298. . 1994. Paperback. . . . . Books ship from the US and Ireland.
Language: English
Published by Birkhäuser Boston, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl < 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1… _1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~.) converges in the w* - LOO(G) topology to a limit u*.
Language: English
Published by Birkhäuser, Birkhäuser, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1 _…1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~.) converges in the w - LOO(G) topology to a limit u .
Language: English
Published by Birkhäuser Verlag, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.
Language: English
Published by Birkhäuser, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
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Condition: gut. 2025. Variational and PDE Methods in Nonlinear Science: Cetraro, Italy 2023 (C.I.M.E. Foundation Subseries, Band 2366) In deutscher Sprache. pages.
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Published by Birkhäuser, 2017
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Published by Springer, Berlin, Springer Nature Switzerland, European Mathematical Society, Università Degli Studi Di Napoli Federico II, Istituto Nazionale Di Alta Matematica Francesco Severi, Gruppo Nazionale Per L'analisi Matematica, La Probabilità E Le Loro Applicazioni, Università Degli Studi Di Verona, Springer, 2025
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This bookpresents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Science, based on lectures given at the CIME summer school Variational and PDE Methods in Nonlinear Science , held in C…etraro (Italy), July 10 14, 2023.Fabrice Bethuel discusses aympototics for Allen Cahn systems, providing an overview of classical methods and tools for the scalar case and further results for the two-dimensional vectorial case. An alternate monotonicity formula is described, and the still open parabolic vectorial case is considered. Angkana Rüland considers the modelling and analysis of microstructures in shape-memory alloys, including material on quasiconvexity, differential inclusions, rigidity of the two-well problem under BV-regularity assumptions, and recent results on the quantitative dichotomy between rigidity and flexibility. Duvan Henao focuses on existence theory in nonlinear elasticity, where a central role is played by the Jacobian determinant. The methods developed have implications for the analysis of magnetoelasticity and nematic elastomers. The volume is aimed at graduate students and researchers interested in the applications of PDEs and the calculus of variations to the theory of phase transitions, fluid dynamics, materials science, and elasticity theory. 189 pp. Englisch.
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Published by Springer International Publishing, 2017
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Affordable, softcover reprint of a classic textbookAuthors are well-known specialists in nonlinear functional analysis and partial differential equationsWritten in a clear, readable style with… many examplesThis book is concerned .
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Published by Birkhäuser Boston Mrz 1994, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIV…ul + 4~2 L(lu1 _1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~.) converges in the w - LOO(G) topology to a limit u . 196 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Science, based on lectures given at the CIME summer school 'Variational and PDE Methods in Nonlinear Science', held in Cet…raro (Italy), July 1014, 2023.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 200 pp. Englisch.
Language: English
Published by Birkhäuser Boston, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I. Energy estimates for S1-valued maps.- 1. An auxiliary linear problem.- 2. Variants of Theorem I.1.- 3. S1-valued harmonic maps with prescribed isolated singularities. The canonical harmonic map.- 4. Shrinking holes…. Renormalized energy.- II. A lower boun.
Language: English
Published by Birkhäuser, Birkhäuser Mär 1994, 1994
Series: Book 2 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Softcover
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -I. Energy estimates for S1-valued maps.- 1. An auxiliary linear problem.- 2. Variants of Theorem I.1.- 3. S1-valued harmonic maps with prescribed isolated singularities. The canonical harmonic map.- 4. Shrinking holes. Renormalized ener…gy.- II. A lower bound for the energy of S1-valued maps on perforated domains.- III. Some basic estimates for u .- 1. Estimates when G=BR and g(x)=x/|x|.- 2. An upper bound for E (u ).- 3. An upper bound for $$ frac{1}{{{varepsilon^2}}}{smallint_G}{left( {{{left| {{u_{varepsilon }}}ight|}^2} - 1}ight)^2} $$.- 4. $$ left| {{u_e}}ight| geqslant frac{1}{2} $$ on 'good discs'.- IV. Towards locating the singularities: bad discs and good discs.- 1. A covering argument.- 2. Modifying the bad discs.- V. An upper bound for the energy of u away from the singularities.- 1. A lower bound for the energy of u near aj.- 2. Proof of Theorem V.l.- VI. u n converges: u is born.- 1. Proof of Theorem VI.1.- 2. Further properties of u : singularities have degree one and they are not on the boundary.- VII. u coincides with THE canonical harmonic map having singularities (aj).- VIII. The configuration (aj) minimizes the renormalized energy W.- 1. The general case.- 2. The vanishing gradient property and its various forms.- 3. Construction of critical points of the renormalized energy.- 4. The case G=B1 and $$ gleft( hetaight) = {e^{{iheta }}} $$.- 5. The case G=B1 and $$ gleft( hetaight) = {e^{{iheta }}} $$ with d .- IX. Some additional properties of u .- 1. The zeroes of u .- 2. The limit of $$ left{ {{E_{varepsilon }}left( {{u_{varepsilon }}}ight) - pi dleft| {log varepsilon }ight|}ight} $$ as $$ varepsilon o 0 $$.- 3. $$ {smallint_G}{left| {abla left| {{u_{varepsilon }}}ight|}ight|^2} $$ remains bounded as $$ varepsilon o 0 $$.- 4. The bad discs revisited.- X. Non minimizing solutions of the Ginzburg-Landau equation.- 1. Preliminary estimates; bad discs and good discs.- 2. Splitting $$ left| {abla {v_{varepsilon }}}ight| $$.- 3. Study of the associated linear problems.- 4. The basic estimates: $$ {smallint_G}{left| {abla {v_{varepsilon }}}ight|^2} leqslant Cleft| {log ;varepsilon }ight| $$ and $$ {smallint_G}{left| {abla {v_{varepsilon }}}ight|^p} leqslant {C_p} $$ for pSpringer Nature c/o IBS, Benzstrasse 21, 48619 Heek 196 pp. Englisch.
