Selected Works of Jindřich Nečas: PDEs, continuum mechanics and regularity
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel
Birkhäuser
2015
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| Series: | Advances in mathematical fluid mechanics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 785 S. Ill. |
| ISBN: | 9783034802307 |
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| adam_text | Titel: Selected Works of Jindřich Nečas
Autor: Nečas, Jindřich
Jahr: 2015
Contents
Preface v
Contents vii
List of Contributors xiii
Part I Jindrich Necas
1. Short Biography of Jindrich Necas 3
Särka Necasovä and Milan Pokorny
2. Complete Bibliography of Jindrich Necas 7
3. Jindrich Necas in the Early 1960s 21
Ivo Babuška
4. Jindrich Necas and the Prague School of PDEs 23
Alois Kufher
Part II Linear Operators
5. Selected Papers on Linear Elliptic Operators 27
5.1 JN-C17 Ondomaines oftypeN 27
(10
5.2 JN-C28 Sur les normes equivalentes dans Wp (ü.) et sur
la coercitivite des formes formellement positives 41
5.3 JN-C23 Sur la coercivite des formes sesquilineaires,
elliptiques 68
5.4 JN-C24 L application de l egalite de Reilich sur
les systemes elliptiques du deuxieme ordre 91
vii
Vili
Contents
5.5 JN-C43 On inequalities of Korn s type. I. Boundary-value
Problems for elliptic Systems of partial differential
equations 106
Ivan Hlaväcek and Jindrich Necas
5.6 JN-C47 On inequalities of Korn s Type. II. Applications
to linear elasticity 113
Ivan Hlaväcek and Jindrich Necas
6. Commentary 137
6.1 Linear Elliptic Operators 137
Alois Kufner
Part III Regularity Theory
7. Selected Papers on Regularity Theory 143
7.1 JN-C30 Sur l appartenance dans la classe des solutions
variationnelles des equations elliptiques non-lineaires de
l ordre 2k en deux dimensions 143
7.2 JN-C96 On the regularity of weak solutions to nonlinear
elliptic Systems via Liouville s type property 152
Marianno Giaquinta and Jindrich Necas
7.3 JN-C100 On the regularity of weak solutions to non linear
elliptic Systems of partial differential equations 163
Marianno Giaquinta and Jindrich Necas
7.4 JN-C 104 Counterexample to the regularity of weak Solution
of elliptic Systems 183
Jindrich Necas, Oldrich John and Jana Starä
7.5 JN-C 113 A Liouville theorem for nonlinear elliptic Systems
with isotropic nonlinearities 193
Pierre Louis Lions, Jindrich Necas and Ivan Netuka
7.6 JN-C 114 On the regularity up to the boundary for second
order nonlinear elliptic Systems 204
Marianno Giaquinta, Jindrich Necas, Oldrich John and Jana Starä
7.7 JN-C 156 On regularity of solutions of nonlinear parabolic
Systems 221
Jindrich Necas and Vladimir Sveräk
Contents ix
7.8 JN-C86 Example of an irregulär Solution to a nonlinear
elliptic system with analytic coeflicients and conditions
for regularity, Theory of Nonlinear Operators 232
8. Commentaries 243
8.1. Regularity for Nonlinear Equations and Systems 243
Jana Starä and Oldrich John
8.2 Sketches of Regularity Theory from the Twentieth Century
and the work of Jindrich Necas 247
Jan Kristensen and Giuseppe Mingione
Part IV Nonlinear Functional Analysis, Calculus of Variations
9. Selected Papers on Nonlinear Functional Analysis
and Calculus of Variations 287
9.1 JN-C40 Sur l alternative de Fredholm pour les Operateurs
non-lineaires avec applications aux problemes aux limites 287
9.2 JN-C53 Fredholm alternative for nonlinear Operators
and applications to partial differential equations and
integral equations 302
9.3 JN-C73 Application of Rothe s method to abstract parabolic
equations 309
9.4 JN-C94 On a class of nonlinear initial value problems in
Hilbert spaces 314
Konrad Gröger and Jindrich Necas
9.5 JN-C130 On the construction of Lusternik-Schnirelmann
critical values with application to bifurcation problems 325
Jindrich Necas, Ari Lehtonen and Pekka Neittaanmäki
10. Commentary 339
10.1 Nonlinear Functional Analysis, Calculus of Variations 339
Pavel Dräbek
Part V Solid Mechanics, Elasticity, Thermoelasticity, and Plasticity
11. Selected Papers on Solid Mechanics, Elasticity, Thermoelasticity,
and Plasticity 345
11.1 JN-C95 Dynamic deformation processes of elastic-plastic
Systems 345
Konrad Gröger, Jindrich Necas and Ludek Travnicek
x Contents
11.2 JN-C101 On the Solution of the variational inequality
to the signorini problem with small friction 351
Jindrich Necas, Jiri Jarušek and Jaroslav Haslinger
11.3 JN-C 125 Unilateral problems in nonlinear, three-dimensional
elasticity 367
Philippe G. Ciariet and Jindrich Necas
11.4 JN-C131 Injectivity and self-contact in nonlinear elasticity 387
Philippe G. Ciariet and Jindrich Necas
11.5 JN-C 164 Existence of global weak Solutions to the
dynamical problem for a three-dimensional elastic body
with singular memory 405
Hamid Bellout, Frederick Bloom and Jindrich Necas
11.6 JN-C 169 Existence of global weak Solutions for a class
of quasilinear hyperbolic integro-differential equations
describing visco-elastic materials 415
Hamid Bellout and Jindrich Necas
12. Commentaries 433
12.1 Mechanics of Solids 433
Ivan Hlavacek
12.2 The Contribution of Jindrich Necas to the Development of the
Theory of Solvability of Contact Problems 436
Jiri Jarušek
Part VI Fluid Mechanics
13. Selected Papers on Fluid Mechanics 441
13.1 JN-C 136 Remarks on the solvability of transonic flow
problems 441
Miloslav Feistauer and Jindrich Necas
13.2 JN-C 151 Global Solution to the compressible isothermal
multipolar fluid 453
Jindrich Necas, Antonin Novotny and Miroslav Silhavy
13.3 JN-C 153 Some qualitative properties of the viscous
compressible heat conductive multipolar fluid 477
Jindrich Necas and Antonin Novotny
13.4 JN-C 155 Multipolar viscous fluids 501
Jindrich Necas and Miroslav Silhavy
Contents xi
13.5 JN-C167 Young measure-valued Solutions for non-Newtonian
incompressible fluids 520
Hamid Bellout, Frederick Bloom and Jindrich Necas
13.6 JN-C176 On Leray s self-similar Solutions of the
Navier-Stokes equations 561
Jindrich Necas, Michael Ružicka and Vladimir Sveräk
13.7 JN-C184 On weak Solutions to a class of non-Newtonian
incompressible fluids in bounded three-dimensional
domains: the casep 2 573
Josef Mälek, Jindrich Necas and Michael Ružicka
13.8 JN-C 178 A Finite-dimensional attractor for three-dimensional
flow of incompressible fluids 619
Josef Mälek and Jindrich Necas
13.9 JN-C 187 Global analysis of the flows of fluids with
pressure-dependent viscosities 640
Josef Mälek, Jindrich Necas and Kumbakonan R. Rajagopal
13.10 JN-C 165 On the non-Newtonian incompressible fluids 667
Josef Mälek, Jindrich Necas and Michael Ružicka
14. Commentary 697
14.1 Comments on Papers on Fluid Mechanics 697
Josef Mälek, Gregory Seregin and Vladimir Sveräk
Part VII Recollections, Correspondence and Photograpbs
15. Comments and Recollections by Collaborators and Students 709
15.1 My Memories of My Friend Jindrich Necas 709
Philippe G. Ciariet
15.2 My Memories of My Supervisor Professor Jindrich Necas 711
Pavol Quittner
15.3 My Memories of Professor Jindrich Necas 713
Miloslav Feistauer
15.4 Jindrich Necas and Industrial Mathematics 716
Tomäs Roubicek
16. Some Notable Personal Correspondence 719
xii Contents
17. Photographs 757
17.1 Childhood 757
17.2 JindrichNecas in the 1960s and 1970s 760
17.3 JindrichNecas in the 1980s and 1990s 767
17.4 Italy 2000 and USA 2001 783
|
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| spelling | Nečas, Jindřich 1929-2002 Verfasser (DE-588)172282470 aut Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity Sarka Necasova ... eds. Basel Birkhäuser 2015 XIV, 785 S. Ill. txt rdacontent n rdamedia nc rdacarrier Advances in mathematical fluid mechanics Nečas, Jindřich 1929-2002 (DE-588)172282470 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Nečas, Jindřich 1929-2002 (DE-588)172282470 p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s Nečasová, Šárka 1965- Sonstige (DE-588)107264598X oth Erscheint auch als Online-Ausgabe 978-3-0348-0231-4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027367315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nečas, Jindřich 1929-2002 Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity Nečas, Jindřich 1929-2002 (DE-588)172282470 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)172282470 (DE-588)4044779-0 (DE-588)4143413-4 |
| title | Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity |
| title_auth | Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity |
| title_exact_search | Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity |
| title_full | Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity Sarka Necasova ... eds. |
| title_fullStr | Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity Sarka Necasova ... eds. |
| title_full_unstemmed | Selected Works of Jindřich Nečas PDEs, continuum mechanics and regularity Sarka Necasova ... eds. |
| title_short | Selected Works of Jindřich Nečas |
| title_sort | selected works of jindrich necas pdes continuum mechanics and regularity |
| title_sub | PDEs, continuum mechanics and regularity |
| topic | Nečas, Jindřich 1929-2002 (DE-588)172282470 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Nečas, Jindřich 1929-2002 Partielle Differentialgleichung Aufsatzsammlung |
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