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2: Variational integrals / Mariano Giaquinta, Giuseppe Modica, Jiří Souček
| 2: Variational integrals / Mariano Giaquinta, Giuseppe Modica, Jiří Souček |
| Autore | Giaquinta, Mariano |
| Pubbl/distr/stampa | Berlin ; Heidelberg, : Springer, 1998 |
| Descrizione fisica | XXIV, 697 p. ; 24 cm |
| Altri autori (Persone) |
Modica, Giuseppe
Souček, Jiří |
| Soggetto topico |
26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020]
49-XX - Calculus of variations and optimal control; optimization [MSC 2020] 49Q15 - Geometric measure and integration theory, integral and normal currents in optimization [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 58E20 - Harmonic maps, etc. [MSC 2020] 74B20 - Nonlinear elasticity [MSC 2020] 76A15 - Liquid crystals [MSC 2020] |
| Soggetto non controllato |
Calculus of Variations
Geometric measure theory Harmonic mappings Minimal Surfaces Nonlinear elasticity Volume Weakly differentiable maps |
| ISBN | 978-36-420-8375-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00055669 |
Giaquinta, Mariano
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||
| Berlin ; Heidelberg, : Springer, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2: Variational integrals / Mariano Giaquinta, Giuseppe Modica, Jiří Souček
| 2: Variational integrals / Mariano Giaquinta, Giuseppe Modica, Jiří Souček |
| Autore | Giaquinta, Mariano |
| Pubbl/distr/stampa | Berlin ; Heidelberg, : Springer, 1998 |
| Descrizione fisica | XXIV, 697 p. ; 24 cm |
| Altri autori (Persone) |
Modica, Giuseppe
Souček, Jiří |
| Soggetto topico |
26B30 - Absolutely continuous real functions of several variables, functions of bounded variation [MSC 2020]
49-XX - Calculus of variations and optimal control; optimization [MSC 2020] 49Q15 - Geometric measure and integration theory, integral and normal currents in optimization [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 58E20 - Harmonic maps, etc. [MSC 2020] 74B20 - Nonlinear elasticity [MSC 2020] 76A15 - Liquid crystals [MSC 2020] |
| Soggetto non controllato |
Calculus of Variations
Geometric measure theory Harmonic mappings Minimal Surfaces Nonlinear elasticity Volume Weakly differentiable maps |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00298194 |
|
Giaquinta, Mariano
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||
| Berlin ; Heidelberg, : Springer, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A Commentary on Thermodynamics / William Alan Day
| A Commentary on Thermodynamics / William Alan Day |
| Autore | Day, William A. |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1988 |
| Descrizione fisica | ix, 97 p. ; 24 cm |
| Soggetto topico |
74B20 - Nonlinear elasticity [MSC 2020]
80-XX - Classical thermodynamics, heat transfer [MSC 2020] 74-XX - Mechanics of deformable solids [MSC 2020] 80A10 - Classical and relativistic thermodynamics [MSC 2020] 74F05 - Thermal effects in solid mechanics [MSC 2020] 74A15 - Thermodynamics in solid mechanics [MSC 2020] |
| Soggetto non controllato |
Differential equations
Elasticity Field theory Thermodynamics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268997 |
|
Day, William A.
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||
| New York, : Springer-Verlag, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
A Commentary on Thermodynamics / William Alan Day
| A Commentary on Thermodynamics / William Alan Day |
| Autore | Day, William A. |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1988 |
| Descrizione fisica | ix, 97 p. ; 24 cm |
| Soggetto topico |
74-XX - Mechanics of deformable solids [MSC 2020]
74A15 - Thermodynamics in solid mechanics [MSC 2020] 74B20 - Nonlinear elasticity [MSC 2020] 74F05 - Thermal effects in solid mechanics [MSC 2020] 80-XX - Classical thermodynamics, heat transfer [MSC 2020] 80A10 - Classical and relativistic thermodynamics [MSC 2020] |
| Soggetto non controllato |
Differential Equations
Elasticity Field theory Thermodynamics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The aim of this book is to comment on, and clarify, the mathematical aspects of the theory of thermodynamics. The standard presentations of the subject are often beset by a number of obscurities associated with the words "state", "reversible", "irreversible", and "quasi-static". This book is written in the belief that such obscurities are best removed not by the formal axiomatization of thermodynamics, but by setting the theory in the wider context of a genuine field theory which incorporates the effects of heat conduction and intertia, and proving appropriate results about the governing differential equations of this field theory. Even in the simplest one-dimensional case it is a nontrivial task to carry through the details of this program, and many challenging problems remain open. |
| Record Nr. | UNICAMPANIA-VAN00268997 |
|
Day, William A.
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| New York, : Springer-Verlag, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent
| Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent |
| Autore | Valent, Tullio |
| Pubbl/distr/stampa | New York, : Springer, 1988 |
| Descrizione fisica | XII, 191 p. ; 25 cm. |
| Soggetto topico |
74B20 - Nonlinear elasticity [MSC 2020]
74-XX - Mechanics of deformable solids [MSC 2020] 34Bxx - Boundary value problems for ordinary differential equations [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 35A01 - Existence problems for PDEs: global existence, local existence, non-existence [MSC 2020] 35A02 - Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness [MSC 2020] |
| ISBN | 978-03-87965-50-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0049788 |
|
Valent, Tullio
|
||
| New York, : Springer, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent
| Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent |
| Autore | Valent, Tullio |
| Pubbl/distr/stampa | New York, : Springer, 1988 |
| Descrizione fisica | XII, 191 p. ; 25 cm |
| Soggetto topico |
74B20 - Nonlinear elasticity [MSC 2020]
74-XX - Mechanics of deformable solids [MSC 2020] 34Bxx - Boundary value problems for ordinary differential equations [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 35A01 - Existence problems for PDEs: global existence, local existence, non-existence [MSC 2020] 35A02 - Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness [MSC 2020] |
| Soggetto non controllato |
Banach spaces
Deformation Developments Elasticity Elastostatics Implicit functions Materials Measure Statics |
| ISBN | 978-03-87965-50-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0049788 |
|
Valent, Tullio
|
||
| New York, : Springer, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent
| Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent |
| Autore | Valent, Tullio |
| Pubbl/distr/stampa | New York, : Springer, 1988 |
| Descrizione fisica | xii, 191 p. ; 25 cm |
| Soggetto topico |
74B20 - Nonlinear elasticity [MSC 2020]
74-XX - Mechanics of deformable solids [MSC 2020] 34Bxx - Boundary value problems for ordinary differential equations [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] |
| Soggetto non controllato |
Banach spaces
Deformation Developments Elasticity Elastostatics Implicit functions Materials Measure Statics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0269009 |
|
Valent, Tullio
|
||
| New York, : Springer, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent
| Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent |
| Autore | Valent, Tullio |
| Pubbl/distr/stampa | New York, : Springer, 1988 |
| Descrizione fisica | xii, 191 p. ; 25 cm |
| Soggetto topico |
34Bxx - Boundary value problems for ordinary differential equations [MSC 2020]
35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 74-XX - Mechanics of deformable solids [MSC 2020] 74B20 - Nonlinear elasticity [MSC 2020] |
| Soggetto non controllato |
Banach spaces
Deformation Development Elasticity Elastostatics Implicit functions Materials Measure Statics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be sides being quite spontaneous, allows us to consider a great many inter esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub sequent developments. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00269009 |
|
Valent, Tullio
|
||
| New York, : Springer, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent
| Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio Valent |
| Autore | Valent, Tullio |
| Pubbl/distr/stampa | New York, : Springer, 1988 |
| Descrizione fisica | XII, 191 p. ; 25 cm |
| Soggetto topico |
34Bxx - Boundary value problems for ordinary differential equations [MSC 2020]
35A01 - Existence problems for PDEs: global existence, local existence, non-existence [MSC 2020] 35A02 - Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 74-XX - Mechanics of deformable solids [MSC 2020] 74B20 - Nonlinear elasticity [MSC 2020] |
| Soggetto non controllato |
Banach spaces
Deformation Development Elasticity Elastostatics Implicit functions Materials Measure Statics |
| ISBN | 978-03-87965-50-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00049788 |
|
Valent, Tullio
|
||
| New York, : Springer, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Degree theory in analysis and applications / Irene Fonseca and Wilfrid Gangbo
| Degree theory in analysis and applications / Irene Fonseca and Wilfrid Gangbo |
| Autore | Fonseca, Irene |
| Pubbl/distr/stampa | Oxford, : Clarendon, 1995 |
| Descrizione fisica | VIII, 211 p. ; 25 cm. |
| Soggetto topico |
55-XX - Algebraic topology [MSC 2020]
47-XX - Operator theory [MSC 2020] 46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems [MSC 2020] 74B20 - Nonlinear elasticity [MSC 2020] 47H11 - Degree theory for nonlinear operators [MSC 2020] |
| ISBN |
01-985119-6-5
978-01-985119-6-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0056030 |
|
Fonseca, Irene
|
||
| Oxford, : Clarendon, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Soggetto topico
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74B20 - Nonlinear elasticity [MSC 2020]
(40)
- 74-XX - Mechanics of deformable solids [MSC 2020] (13)
- 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] (8)
- 35-XX - Partial differential equations [MSC 2020] (6)
- 34Bxx - Boundary value problems for ordinary differential equations [MSC 2020] (5)