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1

Recovery of a manifold with boundary and its continuity as a function of its metric tensor

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2004

File:

PDF, 306 KB

2004

2

Recovery of a displacement field from its linearized strain tensor field in curvilinear coordinates

Philippe G. Ciarlet, Cristinel Mardare, Ming Shen

Journal:

Comptes Rendus Mathematique

Year:

2007

File:

PDF, 134 KB

2007

3

Extension of a Riemannian metric with vanishing curvature

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 108 KB

2004

4

Another approach to the fundamental theorem of Riemannian geometry in , by way of rotation fields

Philippe G. Ciarlet, Liliana Gratie, Oana Iosifescu, Cristinel Mardare, Claude Vallée

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2007

File:

PDF, 227 KB

2007

5

A New Approach to the Fundamental Theorem of Surface Theory

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare

Journal:

Archive for Rational Mechanics and Analysis

Year:

2008

Language:

english

File:

PDF, 192 KB

english, 2008

6

Remarks on a lemma by Jacques-Louis Lions

Amrouche, Chérif, Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Comptes Rendus Mathematique

Year:

2014

File:

PDF, 386 KB

2014

7

ON THE NEWTON–KANTOROVICH THEOREM

CIARLET, PHILIPPE G., MARDARE, CRISTINEL

Journal:

Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 256 KB

english, 2012

8

SAINT VENANT COMPATIBILITY EQUATIONS ON A SURFACE APPLICATION TO INTRINSIC SHELL THEORY

CIARLET, PHILIPPE G., GRATIE, LILIANA, MARDARE, CRISTINEL, SHEN, MING

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2008

Language:

english

File:

PDF, 368 KB

english, 2008

9

On a lemma of Jacques-Louis Lions and its relation to other fundamental results

Amrouche, Chérif, Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2015

File:

PDF, 998 KB

2015

10

Nonlinear Korn inequalities

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2015

File:

PDF, 399 KB

2015

11

A mathematical model of Koiter's type for a nonlinearly elastic “almost spherical” shell

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Comptes Rendus Mathematique

Year:

2016

Language:

english

File:

PDF, 264 KB

english, 2016

12

An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 249 KB

english, 2017

13

The intrinsic theory of linearly elastic plates

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Mathematics and Mechanics of Solids

Year:

2018

Language:

english

File:

PDF, 208 KB

english, 2018

14

Partial Differential Equations and Continuum Mechanics: a Collection of Papers Dedicated to Professor Philippe G. Ciarlet on the Occasion of His 80th Birthday

Mardare, Cristinel, Yang, Tong

Journal:

Acta Mathematicae Applicatae Sinica, English Series

Year:

2019

Language:

english

File:

PDF, 55 KB

english, 2019

15

On the recovery of a manifold with boundary in Rn

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 128 KB

french, 2004

16

An estimate of the H1-norm of deformations in terms of the L1-norm of their Cauchy–Green tensors

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 107 KB

2004

17

Continuity in -norms of surfaces in terms of the -norms of their fundamental forms

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2005

File:

PDF, 111 KB

2005

18

Rotation fields and the fundamental theorem of Riemannian geometry in

Philippe G. Ciarlet, Liliana Gratie, Oana Iosifescu, Cristinel Mardare, Claude Vallée

Journal:

Comptes Rendus Mathematique

Year:

2006

File:

PDF, 156 KB

2006

19

Recovery of a displacement field on a surface from its linearized change of metric and change of curvature tensors

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare, Ming Shen

Journal:

Comptes Rendus Mathematique

Year:

2007

File:

PDF, 142 KB

2007

20

New compatibility conditions for the fundamental theorem of surface theory

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2007

File:

PDF, 146 KB

2007

21

A generalization of the classical Cesàro–Volterra path integral formula

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2009

File:

PDF, 141 KB

2009

22

The pure displacement problem in nonlinear three-dimensional elasticity: intrinsic formulation and existence theorems

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2009

Language:

french

File:

PDF, 163 KB

french, 2009

23

A nonlinear Korn inequality with boundary conditions and its relation to the existence of minimizers in nonlinear elasticity

Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2011

Language:

english

File:

PDF, 137 KB

english, 2011

24

On rigid and infinitesimal rigid displacements in shell theory

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2004

Language:

english

File:

PDF, 163 KB

english, 2004

25

A nonlinear Korn inequality on a surface

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2006

File:

PDF, 192 KB

2006

26

A Cesàro–Volterra formula with little regularity

Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2010

File:

PDF, 255 KB

2010

27

Existence theorems in intrinsic nonlinear elasticity

Philippe G. Ciarlet, Cristinel Mardare

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2010

Language:

english

File:

PDF, 205 KB

english, 2010

28

Estimations d'erreur entre le problème tridimensionnel de coque linéairement élastique et le modèle de Naghdi

Véronique Lods, Cristinel Mardare

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 140 KB

2000

29

Justification des modèles linéaires de Koiter et de Naghdi pour des coques totalement encastrées soumises à des forces «non admissibles »

Véronique Lods, Cristinel Mardare

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

Language:

french

File:

PDF, 84 KB

french, 2001

30

Justification asymptotique des hypothèses de Kirchhoff-Love pour une coque encastrée linéairement élastique

Véronique Lods, Cristinel Mardare

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

File:

PDF, 297 KB

1998

31

Une justification du modèle de coques de Naghdi

Véronique Lods, Cristinel Mardare

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 317 KB

1999

32

Détermination de l'espace inextensionnel d'une coque linéairement élastique, partiellement encastrée et de surface moyenne uniformément elliptique

Véronique Lods, Cristinel Mardare

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

File:

PDF, 400 KB

1997

33

On rigid displacements and their relation to the infinitesimal rigid displacement lemma in shell theory

Philippe G Ciarlet, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 134 KB

french, 2003

34

On rigid displacements and their relation to the infinitesimal rigid displacement lemma in three-dimensional elasticity

Philippe G Ciarlet, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 103 KB

french, 2003

35

Asymptotic Justification of the Kirchhoff–Love Assumptions for a Linearly Elastic Clamped Shell

Veronique Lods, Cristinel Mardare

Journal:

Journal of Elasticity

Year:

2000

Language:

english

File:

PDF, 303 KB

english, 2000

36

A notion of polyconvex function on a surface suggested by nonlinear shell theory

Philippe G. Ciarlet, Radu Gogu, Cristinel Mardare

Journal:

Comptes Rendus Mathematique

Year:

2011

File:

PDF, 158 KB

2011

37

Orientation-preserving condition and polyconvexity on a surface: Application to nonlinear shell theory

Ciarlet, Philippe, Gogu, Radu, Mardare, Cristinel

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2013

File:

PDF, 260 KB

2013

38

Expression of Dirichlet boundary conditions in terms of the Cauchy–Green tensor field

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Comptes Rendus Mathematique

Year:

2013

File:

PDF, 220 KB

2013

39

Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity

Ciarlet, Philippe, Mardare, Cristinel

Journal:

Comptes Rendus Mathematique

Year:

2013

File:

PDF, 230 KB

2013

40

Boundary conditions in intrinsic nonlinear elasticity

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2014

Language:

english

File:

PDF, 578 KB

english, 2014

41

The equations of elastostatics in a Riemannian manifold

Grubic, Nastasia, LeFloch, Philippe G., Mardare, Cristinel

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2014

File:

PDF, 732 KB

2014

42

Intrinsic formulation of the displacement-traction problem in linearized elasticity

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2014

Language:

english

File:

PDF, 267 KB

english, 2014

43

ON RIGID AND INFINITESIMAL RIGID DISPLACEMENTS IN THREE-DIMENSIONAL ELASTICITY

CIARLET, PHILIPPE G., MARDARE, CRISTINEL

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2003

Language:

english

File:

PDF, 163 KB

english, 2003

44

Donati compatibility conditions for membrane and flexural shells

Ciarlet, Philippe G., Mardare, Cristinel, Shen, Xiaoqin

Journal:

Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 264 KB

english, 2014

45

New identity and Korn's inequalities on a surface

Ciarlet, Philippe G., Hou, Yifeng, Mardare, Cristinel

Journal:

Comptes Rendus Mathematique

Year:

2015

Language:

english

File:

PDF, 420 KB

english, 2015

46

SAINT VENANT COMPATIBILITY EQUATIONS IN CURVILINEAR COORDINATES

CIARLET, PHILIPPE G., MARDARE, CRISTINEL, SHEN, MING

Journal:

Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 268 KB

english, 2007

47

C ∞ -REGULARITY OF A MANIFOLD AS A FUNCTION OF ITS METRIC TENSOR

MARDARE, CRISTINEL

Journal:

Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 204 KB

english, 2006

48

ON THE RECOVERY OF A MANIFOLD WITH PRESCRIBED METRIC TENSOR

MARDARE, CRISTINEL

Journal:

Analysis and Applications

Year:

2003

Language:

english

File:

PDF, 225 KB

english, 2003

49

RECOVERY OF A SURFACE WITH BOUNDARY AND ITS CONTINUITY AS A FUNCTION OF ITS TWO FUNDAMENTAL FORMS

CIARLET, PHILIPPE G., MARDARE, CRISTINEL

Journal:

Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 273 KB

english, 2005

50

Inégalités de Korn non linéaires dans

Ciarlet, Philippe G., Mardare, Cristinel

Journal:

Comptes Rendus Mathematique

Year:

2015

File:

PDF, 272 KB

2015