×

Noll, Walter (b. 1925 d. 2017)

Author ID: noll.walter Recent zbMATH articles by "Noll, Walter"
Published as: Noll, Walter; Noll, W.
Homepage: http://www.math.cmu.edu/~wn0g/noll
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 54 Publications since 1952, including 6 Books
Biographic References: 6 Publications
Co-Authors: 12 Co-Authors with 25 Joint Publications
193 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 3,894 times in 2,948 Documents Cited by Year
The non-linear field theories of mechanics. 2. ed. Zbl 0779.73004
Truesdell, C.; Noll, W.
1992
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
583
1963
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
276
1958
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
258
1960
Foundations of linear viscoelasticity. Zbl 0103.40804
Coleman, Bernard D.; Noll, Walter
257
1961
The nonlinear field theories of mechanics. Edited and with preface by Stuart S. Antman. 3rd edition. Zbl 1068.74002
Truesdell, Clifford; Noll, Walter
243
2004
Materially uniform simple bodies with inhomogeneities. Zbl 0168.45701
Noll, Walter
137
1968
A new mathematical theory of simple materials. Zbl 0271.73006
Noll, Walter
118
1972
On the thermostatics of continuous media. Zbl 0231.73003
Coleman, Bernard D.; Noll, Walter
76
1959
Lectures on the foundation of continuum mechanics and thermodynamics. Zbl 0284.73002
Noll, Walter
65
1973
On the continuity of the solid and fluid states. Zbl 0064.42001
Noll, Walter
65
1955
Material symmetry and thermostatic inequalities in finite elastic deformations. Zbl 0123.40703
Coleman, Bernard D.; Noll, Walter
52
1964
Viscometric flows of non-Newtonian fluids. Theory and experiment. Zbl 0137.21903
Coleman, Bernard D.; Markovitz, Hershel; Noll, Walter
48
1966
Die Herleitung der Grundgleichungen der Thermodynamik der Kontinua aus der statistischen Mechanik. Zbl 0065.19405
Noll, Walter
45
1955
The foundations of mechanics and thermodynamics. Selected papers. With a preface by C. Truesdell. Zbl 0332.73001
Noll, W.
43
1974
The foundations of classical mechanics in the light of recent advances in continuum mechanics. Zbl 0087.39401
Noll, Walter
39
1959
On certain steady flows of general fluids. Zbl 0087.19402
Coleman, Bernard D.; Noll, Walter
33
1959
Recent results in the continuum theory of viscoelastic fluids. Zbl 0122.43506
Coleman, Bernard D.; Noll, Walter
32
1961
Fit regions and functions of bounded variation. Zbl 0668.73005
Noll, Walter; Virga, Epifanio G.
27
1988
Motions with constant stretch history. Zbl 0112.18301
Noll, Walter
26
1962
On edge interactions and surface tension. Zbl 0709.73001
Noll, Walter; Virga, Epifanio G.
22
1990
On the uniqueness and non-existence of Stokes flows. Zbl 0079.12104
Finn, Robert; Noll, Walter
19
1957
A frame-free formulation of elasticity. Zbl 1158.74320
Noll, Walter
19
2006
The equations of finite elasticity. Zbl 0149.22306
Noll, Walter
18
1965
Steady extension of incompressible simple fluids. Zbl 0131.40801
Coleman, Bernard D.; Noll, Walter
17
1962
Proof of the maximality of the orthogonal group in the unimodular group. Zbl 0161.02501
Noll, Walter
15
1965
Euclidean geometry and Minkowskian chronometry. Zbl 0118.22401
Noll, Walter
14
1964
Finite-dimensional spaces. Algebra, geometry, and analysis. Volume I. Zbl 0627.46002
Noll, Walter
13
1987
Basic concepts of thermomechanics. Zbl 1294.80002
Noll, Walter; Seguin, Brian
11
2010
Orders, gauge, and distance in faceless linear cones; with examples relevant to continuum mechanics and relativity. Zbl 0373.73011
Noll, Walter; Schäffer, Juan Jorge
11
1977
On exterior boundary value problems in linear elasticity. Zbl 0088.16402
Duffin, R. J.; Noll, Walter
10
1958
The geometry of contact, separation, and reformation of continuous bodies. Zbl 0787.73006
Noll, Walter
8
1993
On certain convex sets of measures and on phases of reacting mixtures. Zbl 0246.76109
Noll, Walter
8
1970
Verschiebungsfunktionen für elastische Schwingungsprobleme. Zbl 0079.17801
Noll, Walter
7
1957
Order-isomorphisms in affine spaces. Zbl 0399.46006
Noll, Walter; Schäffer, Juan Jorge
7
1978
Representations of certain isotropic tensor functions. Zbl 0194.06401
Noll, Walter
7
1970
The foundations of mechanics. Zbl 0202.56101
Noll, Walter
7
1966
Thoughts on the concept of stress. Zbl 1272.74007
Noll, Walter
6
2010
Simple fluids with fading memory. Zbl 0131.23401
Coleman, Bernard D.; Noll, Walter
6
1964
Continuum mechanics and geometric integration theory. Zbl 0594.73001
Noll, Walter
5
1986
A general framework for problems in the statics of finite elasticity. Zbl 0415.73046
Noll, Walter
5
1978
On the past and future of natural philosophy. Zbl 1103.00303
Noll, Walter
3
2006
Quasi-invertibility in a staircase diagram. Zbl 0185.04103
Noll, Walter
2
1969
Monoids, Boolean algebras, materially ordered sets. Zbl 1129.06012
Noll, Walter; Seguin, Brian
2
2007
The representation of monotonous processes by exponentials. Zbl 0338.15014
Noll, Walter
2
1976
On the rotation of an incompressible continuous medium in plane motion. Zbl 0081.19303
Noll, Walter
2
1957
Continuum theory of inhomogeneities in simple bodies. A reprint of six memoirs. Zbl 0167.54204
Noll, Walter; Toupin, R. A.; Wang, C.-C.
1
1968
Eine Bemerkung zur Schwarzschen Ungleichheit. Zbl 0046.06001
Mohr, Ernst; Noll, Walter
1
1952
The genesis of Truesdell’s “Nonlinear field theories of mechanics”. Zbl 1039.01527
Noll, Walter
1
2003
Annihilators of linear differential operators. Zbl 0246.35075
Dombrowski, H. D.; Noll, Walter
1
1971
Basic concepts of thermomechanics. Zbl 1294.80002
Noll, Walter; Seguin, Brian
11
2010
Thoughts on the concept of stress. Zbl 1272.74007
Noll, Walter
6
2010
Monoids, Boolean algebras, materially ordered sets. Zbl 1129.06012
Noll, Walter; Seguin, Brian
2
2007
A frame-free formulation of elasticity. Zbl 1158.74320
Noll, Walter
19
2006
On the past and future of natural philosophy. Zbl 1103.00303
Noll, Walter
3
2006
The nonlinear field theories of mechanics. Edited and with preface by Stuart S. Antman. 3rd edition. Zbl 1068.74002
Truesdell, Clifford; Noll, Walter
243
2004
The genesis of Truesdell’s “Nonlinear field theories of mechanics”. Zbl 1039.01527
Noll, Walter
1
2003
The geometry of contact, separation, and reformation of continuous bodies. Zbl 0787.73006
Noll, Walter
8
1993
The non-linear field theories of mechanics. 2. ed. Zbl 0779.73004
Truesdell, C.; Noll, W.
1992
On edge interactions and surface tension. Zbl 0709.73001
Noll, Walter; Virga, Epifanio G.
22
1990
Fit regions and functions of bounded variation. Zbl 0668.73005
Noll, Walter; Virga, Epifanio G.
27
1988
Finite-dimensional spaces. Algebra, geometry, and analysis. Volume I. Zbl 0627.46002
Noll, Walter
13
1987
Continuum mechanics and geometric integration theory. Zbl 0594.73001
Noll, Walter
5
1986
Order-isomorphisms in affine spaces. Zbl 0399.46006
Noll, Walter; Schäffer, Juan Jorge
7
1978
A general framework for problems in the statics of finite elasticity. Zbl 0415.73046
Noll, Walter
5
1978
Orders, gauge, and distance in faceless linear cones; with examples relevant to continuum mechanics and relativity. Zbl 0373.73011
Noll, Walter; Schäffer, Juan Jorge
11
1977
The representation of monotonous processes by exponentials. Zbl 0338.15014
Noll, Walter
2
1976
The foundations of mechanics and thermodynamics. Selected papers. With a preface by C. Truesdell. Zbl 0332.73001
Noll, W.
43
1974
Lectures on the foundation of continuum mechanics and thermodynamics. Zbl 0284.73002
Noll, Walter
65
1973
A new mathematical theory of simple materials. Zbl 0271.73006
Noll, Walter
118
1972
Annihilators of linear differential operators. Zbl 0246.35075
Dombrowski, H. D.; Noll, Walter
1
1971
On certain convex sets of measures and on phases of reacting mixtures. Zbl 0246.76109
Noll, Walter
8
1970
Representations of certain isotropic tensor functions. Zbl 0194.06401
Noll, Walter
7
1970
Quasi-invertibility in a staircase diagram. Zbl 0185.04103
Noll, Walter
2
1969
Materially uniform simple bodies with inhomogeneities. Zbl 0168.45701
Noll, Walter
137
1968
Continuum theory of inhomogeneities in simple bodies. A reprint of six memoirs. Zbl 0167.54204
Noll, Walter; Toupin, R. A.; Wang, C.-C.
1
1968
Viscometric flows of non-Newtonian fluids. Theory and experiment. Zbl 0137.21903
Coleman, Bernard D.; Markovitz, Hershel; Noll, Walter
48
1966
The foundations of mechanics. Zbl 0202.56101
Noll, Walter
7
1966
The equations of finite elasticity. Zbl 0149.22306
Noll, Walter
18
1965
Proof of the maximality of the orthogonal group in the unimodular group. Zbl 0161.02501
Noll, Walter
15
1965
Material symmetry and thermostatic inequalities in finite elastic deformations. Zbl 0123.40703
Coleman, Bernard D.; Noll, Walter
52
1964
Euclidean geometry and Minkowskian chronometry. Zbl 0118.22401
Noll, Walter
14
1964
Simple fluids with fading memory. Zbl 0131.23401
Coleman, Bernard D.; Noll, Walter
6
1964
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
583
1963
Motions with constant stretch history. Zbl 0112.18301
Noll, Walter
26
1962
Steady extension of incompressible simple fluids. Zbl 0131.40801
Coleman, Bernard D.; Noll, Walter
17
1962
Foundations of linear viscoelasticity. Zbl 0103.40804
Coleman, Bernard D.; Noll, Walter
257
1961
Recent results in the continuum theory of viscoelastic fluids. Zbl 0122.43506
Coleman, Bernard D.; Noll, Walter
32
1961
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
258
1960
On the thermostatics of continuous media. Zbl 0231.73003
Coleman, Bernard D.; Noll, Walter
76
1959
The foundations of classical mechanics in the light of recent advances in continuum mechanics. Zbl 0087.39401
Noll, Walter
39
1959
On certain steady flows of general fluids. Zbl 0087.19402
Coleman, Bernard D.; Noll, Walter
33
1959
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
276
1958
On exterior boundary value problems in linear elasticity. Zbl 0088.16402
Duffin, R. J.; Noll, Walter
10
1958
On the uniqueness and non-existence of Stokes flows. Zbl 0079.12104
Finn, Robert; Noll, Walter
19
1957
Verschiebungsfunktionen für elastische Schwingungsprobleme. Zbl 0079.17801
Noll, Walter
7
1957
On the rotation of an incompressible continuous medium in plane motion. Zbl 0081.19303
Noll, Walter
2
1957
On the continuity of the solid and fluid states. Zbl 0064.42001
Noll, Walter
65
1955
Die Herleitung der Grundgleichungen der Thermodynamik der Kontinua aus der statistischen Mechanik. Zbl 0065.19405
Noll, Walter
45
1955
Eine Bemerkung zur Schwarzschen Ungleichheit. Zbl 0046.06001
Mohr, Ernst; Noll, Walter
1
1952
all top 5

Cited by 2,852 Authors

79 Rajagopal, Kumbakonam Ramamani
59 Gurtin, Morton Edward
49 Coleman, Bernard David
31 Epstein, Marcelo
31 Guidugli, Paolo Podio
31 Wang, Chao Chen
26 Cimmelli, Vito Antonio
25 Noll, Walter
24 Fosdick, Roger L.
23 Massoudi, Mehrdad
21 Fabrizio, Mauro
21 Mariano, Paolo Maria
20 Bustamante, Roger
20 Hayat, Tasawar
20 Owen, David Ross
19 Wineman, Alan S.
18 Svendsen, Bob
17 Capriz, Gianfranco
17 Eremeyev, Victor A.
17 Joseph, Daniel D.
17 Murdoch, A. Ian
17 Saccomandi, Giuseppe
17 Šilhavý, Miroslav
16 Del Piero, Gianpietro
16 Goriely, Alain
16 Morro, Angelo
16 Naghdi, Paul Mansour
15 Holzapfel, Gerhard Alfred
15 Steinmann, Paul
14 Hutter, Kolumban
14 Miehe, Christian
14 Mihai, L. Angela
13 Bowen, Ray M.
13 Chen, Peter J.
13 Golden, John Murrough
13 Siddiqui, Abdul Majeed
13 Simo, Juan Carlos
13 Steigmann, David J.
13 Tokuoka, Tatsuo
12 Cleja-Țigoiu, Sanda
12 de León Rodríguez, Manuel
12 dell’Isola, Francesco
12 Maugin, Gérard A.
12 Mosler, Jörn
12 Rivlin, Ronald Samuel
12 Slemrod, Marshall
12 Vajravelu, Kuppalapalle
12 Williams, William O.
11 Antman, Stuart S.
11 Areias, Pedro M. A.
11 Casey, James
11 Cohen, Harley
11 Haller, George
11 Huilgol, Raja R.
11 Menzel, Andreas M.
11 Segev, Reuven
11 Sfyris, Dimitris
11 Straughan, Brian
11 Virga, Epifanio G.
11 Yavari, Arash
10 Amendola, Giovambattista
10 Aron, Marian
10 Beatty, Millard F. jun.
10 Bruhns, Otto Timme
10 Giorgi, Claudio
10 Tomassetti, Giuseppe
10 Vianello, Maurizio
9 Ciarlet, Philippe Gaston
9 Green, Albert E.
9 Hoger, Anne
9 Man, Chi-Sing
9 Nunziato, Jace W.
9 Oden, John Tinsley
9 Seguin, Brian
9 Spector, Scott J.
9 Ván, Peter
9 Wang, Yongqi
8 Bressan, Aldo
8 DeSilva, Carl Nevin
8 Fried, Eliot
8 Málek, Josef
8 Mizel, Victor J.
8 Murphy, Jeremiah G.
8 Ortigosa, Rogelio
8 Ortiz, Michael
8 Tatar, Nasser-eddine
7 Asghar, Saleem
7 Bargmann, Swantje
7 Cowin, Stephen C.
7 Crochet, Marcel J.
7 Federico, Salvatore
7 Fetecau, Constantin
7 Ganghoffer, Jean-François
7 Gil, Antonio J.
7 Gupta, Anadi Sankar
7 Horgan, Cornelius Oliver
7 Hütter, Markus
7 Jiménez, Víctor Manuel
7 Kadianakis, Nikos D.
7 Marsden, Jerrold Eldon
...and 2,752 more Authors
all top 5

Cited in 288 Serials

395 Archive for Rational Mechanics and Analysis
234 International Journal of Engineering Science
221 Journal of Elasticity
199 Acta Mechanica
175 Computer Methods in Applied Mechanics and Engineering
111 Journal of the Mechanics and Physics of Solids
108 Mathematics and Mechanics of Solids
107 Continuum Mechanics and Thermodynamics
88 ZAMP. Zeitschrift für angewandte Mathematik und Physik
68 Meccanica
67 Rheologica Acta
50 Computational Mechanics
44 European Journal of Mechanics. A. Solids
37 Journal of Fluid Mechanics
35 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
29 Applied Mathematics and Computation
27 Journal of Mathematical Analysis and Applications
23 Archive of Applied Mechanics
22 International Journal of Solids and Structures
22 Journal of Engineering Mathematics
22 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Journal of Non-Equilibrium Thermodynamics
20 Journal of Mathematical Physics
19 Physica D
18 Computers & Mathematics with Applications
18 Journal of Differential Equations
18 Rendiconti del Seminario Matematico della Università di Padova
17 International Journal for Numerical Methods in Engineering
17 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
16 Applied Mathematics and Mechanics. (English Edition)
16 Mathematical and Computer Modelling
15 Wave Motion
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Mathematical Methods in the Applied Sciences
14 Quarterly of Applied Mathematics
12 Applied Mathematical Modelling
12 Communications in Nonlinear Science and Numerical Simulation
12 Nonlinear Analysis. Real World Applications
11 Journal of Computational Physics
10 International Journal of Plasticity
10 Soviet Applied Mechanics
9 Ingenieur-Archiv
9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Journal of Applied Mathematics and Mechanics
8 Discrete and Continuous Dynamical Systems. Series B
8 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 Acta Mechanica Sinica
6 Applicable Analysis
6 Physica A
6 Journal of Geometry and Physics
6 Applied Mathematics and Optimization
6 Journal of Nonlinear Science
6 Chaos
6 Archives of Computational Methods in Engineering
6 Evolution Equations and Control Theory
5 Computers and Fluids
5 Journal of Mathematical Biology
5 Reports on Mathematical Physics
5 Mechanics Research Communications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Ricerche di Matematica
5 Acta Applicandae Mathematicae
5 Applications of Mathematics
5 Journal of Non-Newtonian Fluid Mechanics
5 SIAM Journal on Applied Mathematics
5 Lobachevskii Journal of Mathematics
4 General Relativity and Gravitation
4 Journal of the Franklin Institute
4 Physics Letters. A
4 Reviews of Modern Physics
4 Theoretical and Computational Fluid Dynamics
4 Advances in Applied Mathematics
4 SIAM Journal on Mathematical Analysis
4 Mathematical Problems in Engineering
4 European Journal of Mechanics. B. Fluids
4 International Journal of Fracture
4 Boundary Value Problems
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 GAMM-Mitteilungen
4 Mathematics and Mechanics of Complex Systems
4 Nonlinear Analysis. Theory, Methods & Applications
3 Archive for History of Exact Sciences
3 International Journal of Heat and Mass Transfer
3 Moscow University Mechanics Bulletin
3 Nonlinearity
3 Bulletin of Mathematical Biology
3 Acta Mathematica
3 Journal of Computational and Applied Mathematics
3 Journal of Soviet Mathematics
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Applied Mathematics Letters
3 Communications in Partial Differential Equations
3 Journal of Dynamics and Differential Equations
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Fractals
3 Nonlinear Dynamics
3 International Journal of Geometric Methods in Modern Physics
3 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
3 Discrete and Continuous Dynamical Systems. Series S
...and 188 more Serials
all top 5

Cited in 53 Fields

1,964 Mechanics of deformable solids (74-XX)
689 Fluid mechanics (76-XX)
365 Partial differential equations (35-XX)
229 Classical thermodynamics, heat transfer (80-XX)
143 Statistical mechanics, structure of matter (82-XX)
93 Numerical analysis (65-XX)
90 Differential geometry (53-XX)
76 Biology and other natural sciences (92-XX)
57 Calculus of variations and optimal control; optimization (49-XX)
48 Mechanics of particles and systems (70-XX)
39 Dynamical systems and ergodic theory (37-XX)
32 Linear and multilinear algebra; matrix theory (15-XX)
28 Global analysis, analysis on manifolds (58-XX)
22 Operator theory (47-XX)
22 Optics, electromagnetic theory (78-XX)
22 Relativity and gravitational theory (83-XX)
21 Ordinary differential equations (34-XX)
21 Systems theory; control (93-XX)
20 Integral equations (45-XX)
20 Functional analysis (46-XX)
19 History and biography (01-XX)
17 Real functions (26-XX)
15 Topological groups, Lie groups (22-XX)
15 Computer science (68-XX)
14 Probability theory and stochastic processes (60-XX)
10 General and overarching topics; collections (00-XX)
10 Group theory and generalizations (20-XX)
10 Quantum theory (81-XX)
8 Geometry (51-XX)
7 Special functions (33-XX)
7 Geophysics (86-XX)
6 Category theory; homological algebra (18-XX)
6 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
6 Operations research, mathematical programming (90-XX)
5 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
5 Manifolds and cell complexes (57-XX)
5 Statistics (62-XX)
4 Approximations and expansions (41-XX)
4 Algebraic topology (55-XX)
3 Combinatorics (05-XX)
3 Potential theory (31-XX)
3 General topology (54-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Difference and functional equations (39-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Sequences, series, summability (40-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.