×

zbMATH — the first resource for mathematics

Fraenkel, L. Edward

Compute Distance To:
Author ID: fraenkel.l-edward Recent zbMATH articles by "Fraenkel, L. Edward"
Published as: Fraenkel, L.; Fraenkel, L. E.; Fraenkel, L. Edward
External Links: MGP · Wikidata · GND
Documents Indexed: 55 Publications since 1953, including 2 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 675 times in 545 Documents Cited by Year
An introduction to maximum principles and symmetry in elliptic problems. Zbl 0947.35002
Fraenkel, L. E.
120
2000
On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021
Amick, C. J.; Fraenkel, L. E.; Toland, J. F.
88
1982
A global theory of steady vortex rings in an ideal fluid. Zbl 0282.76014
Fraenkel, L. E.; Berger, M. S.
78
1974
Examples of steady vortex rings of small cross-section in an ideal fluid. Zbl 0231.76013
Fraenkel, L. E.
51
1972
Laminar flow in symmetrical channels with slightly curved walls. I. On the Jeffery-Hamel solutions for flow between plane walls. Zbl 0104.42403
Fraenkel, L. E.
39
1962
Nonlinear desingularization in certain free-boundary problems. Zbl 0454.35087
Berger, M. S.; Fraenkel, L. E.
38
1980
On steady vortex rings of small cross-section in an ideal fluid. Zbl 0195.55101
Fraenkel, L. E.
37
1970
The uniqueness of Hill’s spherical vortex. Zbl 0609.76018
Amick, C. J.; Fraenkel, L. E.
25
1986
Formulae for high derivatives of composite functions. Zbl 0388.46032
Fraenkel, L. E.
25
1978
On the asymptotic solution of a nonlinear Dirichlet problem. Zbl 0203.10402
Berger, M. S.; Fraenkel, L. E.
21
1970
On regularity of the boundary in the theory of Sobolev spaces. Zbl 0406.46026
Fraenkel, L. E.
17
1979
A lower bound for electrostatic capacity in the plane. Zbl 0466.31007
Fraenkel, L. E.
13
1981
On the behavior near the crest of waves of extreme form. Zbl 0617.76015
Amick, C. J.; Fraenkel, L. E.
11
1987
A constructive existence proof for the extreme Stokes wave. Zbl 1105.76014
Fraenkel, L. Edward
10
2007
The uniqueness of a family of steady vortex rings. Zbl 0694.76011
Amick, C. J.; Fraenkel, L. E.
10
1988
Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types. Zbl 0439.76018
Amick, C. J.; Fraenkel, L. E.
9
1980
On the method of matched asymptotic expansions. I: A matching principle. II: Some applications of the composite series. III: Two boundary-value problems. Zbl 0187.24104
Fraenkel, L. E.
9
1969
On corner eddies in plane inviscid shear flow. Zbl 0113.40602
Fraenkel, L.
8
1961
On singular perturbations of nonlinear operator equations. Zbl 0218.47031
Berger, M. S.; Fraenkel, L. E.
7
1971
Laminar flow in symmetrical channels with slightly curved walls. II: An asymptotic series for the stream function. Zbl 0109.43701
Fraenkel, L. E.
5
1963
A shallow-liquid theory in magnetohydrodynamics. Zbl 0087.20404
Fraenkel, L. E.
5
1960
On steady vortex rings with swirl and a Sobolev inequality. Zbl 0821.46041
Fraenkel, L. E.
4
1993
On the embedding of \(C_1(\Omega)\) in \(C^{0,\alpha}(\Omega)\). Zbl 0503.46017
Fraenkel, L. E.
4
1982
A global theory of steady vortex rings in an ideal fluid. Zbl 0267.76012
Fraenkel, L. E.; Berger, M. S.
4
1973
On a theory of laminar flow in channels of a certain class. Zbl 0265.76039
Fraenkel, L. E.
4
1973
On the entry of a wedge into water: the thin wedge and an all-purpose boundary-layer equation. Zbl 1041.76503
Fraenkel, L. E.; Keady, G.
3
2004
Some results for the entry of a blunt wedge into water. Zbl 0884.76005
Fraenkel, L. E.; McLeod, J. B.
3
1997
The capacity of slender toroidal sets in \({\mathbb{R}{}}^ N\). Zbl 0755.31005
Fraenkel, L. E.
3
1992
On nonlinear desingularization. Zbl 0432.35015
Berger, M. S.; Fraenkel, L. E.
3
1980
A functional with prescribed initial derivatives in different Banach spaces. Zbl 0388.46026
Brézis, Haïm; Fraenkel, L. E.
3
1978
On the flow of rotating fluid past bodies in a pipe. Zbl 0066.42401
Fraenkel, L. E.
3
1955
An introduction to maximum principles and symmetry in elliptic problems. Reprint of the 2000 hardback edition. Zbl 1214.35001
Fraenkel, L. E.
2
2011
On regularized distance and related functions. Zbl 0415.41026
Fraenkel, L. E.
2
1979
On Benjamin’s theory of conjugate vortex flows. Zbl 0149.45103
Fraenkel, L. E.
2
1967
A cylindrical sound pulse in a rotating gas. Zbl 0117.22102
Fraenkel, L. E.
2
1959
The behaviour near the crest of an extreme Stokes wave. Zbl 1198.35177
Fraenkel, L. E.
1
2010
On the local uniqueness and the profile of the extreme Stokes wave. Zbl 1198.35178
Fraenkel, L. E.; Harwin, P. J.
1
2010
On the increase of capacity with asymmetry. Zbl 1156.31005
Fraenkel, L. E.
1
2008
On a linear, partly hyperbolic model of viscoelastic flow past a plate. Zbl 0705.76004
Fraenkel, L. E.
1
1990
Completeness properties in \(L_ 2\) of the eigenfunctions of two semi- linear differential operators. Zbl 0451.34023
Fraenkel, L. E.
1
1980
Boundary-value problems for the steady Navier-Stokes equations. Zbl 0331.35051
Fraenkel, L. E.
1
1976
The formulation of a uniform approximation for thin conical wings with sonic leading edges. Zbl 0117.19803
Fraenkel, L. E.; Watson, R.
1
1964
An introduction to maximum principles and symmetry in elliptic problems. Reprint of the 2000 hardback edition. Zbl 1214.35001
Fraenkel, L. E.
2
2011
The behaviour near the crest of an extreme Stokes wave. Zbl 1198.35177
Fraenkel, L. E.
1
2010
On the local uniqueness and the profile of the extreme Stokes wave. Zbl 1198.35178
Fraenkel, L. E.; Harwin, P. J.
1
2010
On the increase of capacity with asymmetry. Zbl 1156.31005
Fraenkel, L. E.
1
2008
A constructive existence proof for the extreme Stokes wave. Zbl 1105.76014
Fraenkel, L. Edward
10
2007
On the entry of a wedge into water: the thin wedge and an all-purpose boundary-layer equation. Zbl 1041.76503
Fraenkel, L. E.; Keady, G.
3
2004
An introduction to maximum principles and symmetry in elliptic problems. Zbl 0947.35002
Fraenkel, L. E.
120
2000
Some results for the entry of a blunt wedge into water. Zbl 0884.76005
Fraenkel, L. E.; McLeod, J. B.
3
1997
On steady vortex rings with swirl and a Sobolev inequality. Zbl 0821.46041
Fraenkel, L. E.
4
1993
The capacity of slender toroidal sets in \({\mathbb{R}{}}^ N\). Zbl 0755.31005
Fraenkel, L. E.
3
1992
On a linear, partly hyperbolic model of viscoelastic flow past a plate. Zbl 0705.76004
Fraenkel, L. E.
1
1990
The uniqueness of a family of steady vortex rings. Zbl 0694.76011
Amick, C. J.; Fraenkel, L. E.
10
1988
On the behavior near the crest of waves of extreme form. Zbl 0617.76015
Amick, C. J.; Fraenkel, L. E.
11
1987
The uniqueness of Hill’s spherical vortex. Zbl 0609.76018
Amick, C. J.; Fraenkel, L. E.
25
1986
On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021
Amick, C. J.; Fraenkel, L. E.; Toland, J. F.
88
1982
On the embedding of \(C_1(\Omega)\) in \(C^{0,\alpha}(\Omega)\). Zbl 0503.46017
Fraenkel, L. E.
4
1982
A lower bound for electrostatic capacity in the plane. Zbl 0466.31007
Fraenkel, L. E.
13
1981
Nonlinear desingularization in certain free-boundary problems. Zbl 0454.35087
Berger, M. S.; Fraenkel, L. E.
38
1980
Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types. Zbl 0439.76018
Amick, C. J.; Fraenkel, L. E.
9
1980
On nonlinear desingularization. Zbl 0432.35015
Berger, M. S.; Fraenkel, L. E.
3
1980
Completeness properties in \(L_ 2\) of the eigenfunctions of two semi- linear differential operators. Zbl 0451.34023
Fraenkel, L. E.
1
1980
On regularity of the boundary in the theory of Sobolev spaces. Zbl 0406.46026
Fraenkel, L. E.
17
1979
On regularized distance and related functions. Zbl 0415.41026
Fraenkel, L. E.
2
1979
Formulae for high derivatives of composite functions. Zbl 0388.46032
Fraenkel, L. E.
25
1978
A functional with prescribed initial derivatives in different Banach spaces. Zbl 0388.46026
Brézis, Haïm; Fraenkel, L. E.
3
1978
Boundary-value problems for the steady Navier-Stokes equations. Zbl 0331.35051
Fraenkel, L. E.
1
1976
A global theory of steady vortex rings in an ideal fluid. Zbl 0282.76014
Fraenkel, L. E.; Berger, M. S.
78
1974
A global theory of steady vortex rings in an ideal fluid. Zbl 0267.76012
Fraenkel, L. E.; Berger, M. S.
4
1973
On a theory of laminar flow in channels of a certain class. Zbl 0265.76039
Fraenkel, L. E.
4
1973
Examples of steady vortex rings of small cross-section in an ideal fluid. Zbl 0231.76013
Fraenkel, L. E.
51
1972
On singular perturbations of nonlinear operator equations. Zbl 0218.47031
Berger, M. S.; Fraenkel, L. E.
7
1971
On steady vortex rings of small cross-section in an ideal fluid. Zbl 0195.55101
Fraenkel, L. E.
37
1970
On the asymptotic solution of a nonlinear Dirichlet problem. Zbl 0203.10402
Berger, M. S.; Fraenkel, L. E.
21
1970
On the method of matched asymptotic expansions. I: A matching principle. II: Some applications of the composite series. III: Two boundary-value problems. Zbl 0187.24104
Fraenkel, L. E.
9
1969
On Benjamin’s theory of conjugate vortex flows. Zbl 0149.45103
Fraenkel, L. E.
2
1967
The formulation of a uniform approximation for thin conical wings with sonic leading edges. Zbl 0117.19803
Fraenkel, L. E.; Watson, R.
1
1964
Laminar flow in symmetrical channels with slightly curved walls. II: An asymptotic series for the stream function. Zbl 0109.43701
Fraenkel, L. E.
5
1963
Laminar flow in symmetrical channels with slightly curved walls. I. On the Jeffery-Hamel solutions for flow between plane walls. Zbl 0104.42403
Fraenkel, L. E.
39
1962
On corner eddies in plane inviscid shear flow. Zbl 0113.40602
Fraenkel, L.
8
1961
A shallow-liquid theory in magnetohydrodynamics. Zbl 0087.20404
Fraenkel, L. E.
5
1960
A cylindrical sound pulse in a rotating gas. Zbl 0117.22102
Fraenkel, L. E.
2
1959
On the flow of rotating fluid past bodies in a pipe. Zbl 0066.42401
Fraenkel, L. E.
3
1955
all top 5

Cited by 666 Authors

17 Constantin, Adrian
17 Fraenkel, L. Edward
12 Ehrnström, Mats
10 Amick, Charles J.
9 Cao, Daomin
7 Escher, Joachim
6 Martin, Calin-Iulian
6 Matioc, Bogdan-Vasile
6 Vărvărucă, Eugen
6 Wang, Guodong
6 Weiss, Georg Sebastian
5 Kop’ev, V. F.
5 Magnanini, Rolando
5 Peng, Shuangjie
5 Strauss, Walter Alexander
5 Walsh, Samuel
4 Basu, Biswajit
4 Berestycki, Henri
4 Berger, Melvyn S.
4 Chen, Robin Ming
4 Chernyshev, S. A.
4 Friedman, Avner
4 Ganji, Davood Domiri
4 Huang, Xiaotao
4 Li, Congming
4 Lyons, Tony
4 Marchioro, Carlo
4 Maslov, Viktor Pavlovich
4 Mohyud-Din, Syed Tauseef
4 Poláčik, Peter
4 Shafarevich, Andreĭ Igorevich
4 Van Schaftingen, Jean
4 Vitolo, Antonio
4 Wheeler, Miles H.
4 Xiao, Jie
3 Ambrosetti, Antonio
3 Ball, John M.
3 Bensid, Sabri
3 Burton, Geoffrey R.
3 Ciraolo, Giulio
3 Eagles, P. M.
3 Elcrat, Alan R.
3 Fukumoto, Yasuhide
3 Henry, David
3 Hmidi, Taoufik
3 Hur, Vera Mikyoung
3 Ionescu-Kruse, Delia
3 Keady, Grant
3 Lei, Yutian
3 Leoni, Giovanni
3 Makinde, Oluwole Daniel
3 Mi, Yongsheng
3 Miller, Kenneth G.
3 Moffatt, Henry Keith
3 Mu, Chunlai
3 Mustafa, Octavian G.
3 Pileckas, Konstantin
3 Sakaguchi, Shigeru
3 Semenov, Yuriy A.
3 Sweers, Guido H.
3 Tadie
3 Toland, John Francis
3 Xin, Zhouping
3 Yan, Shusen
2 Ahmed, Naveed
2 Akinshin, R. V.
2 Akulenko, Leonid Denisovich
2 Aragona, Jorge
2 Ashton, Anthony C. L.
2 Bansal, Mohit
2 Bao, Jiguang
2 Berezovskij, A. A.
2 Biagioni, Hebe A.
2 Bianchi, Gabriele
2 Boucherif, Abdelkader
2 Bouguima, Sidi Mohamed
2 Brandolini, Barbara
2 Caffarelli, Luis Ángel
2 Caginalp, Gunduz
2 Clamond, Didier
2 Danaila, Ionut
2 Das, Debopam
2 De Silva, Daniela
2 Duffy, Brian Reginald
2 Durst, Franz
2 Emamizadeh, Behrouz
2 Encinas, L. Hernández
2 Esmaeilpour, M.
2 Gao, Lei
2 Gardner, Richard J.
2 Gronchi, Paolo
2 Guo, Boling
2 Henry, David
2 Hewett, David P.
2 Himonas, A. Alexandrou
2 Huberson, Serge G.
2 Jiang, Furu
2 Jiu, Quansen
2 Kalisch, Henrik
2 Kaplanskij, F. B.
...and 566 more Authors
all top 5

Cited in 166 Serials

39 Journal of Fluid Mechanics
30 Archive for Rational Mechanics and Analysis
23 Journal of Differential Equations
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Mathematical Analysis and Applications
12 Journal of Mathematical Fluid Mechanics
10 Fluid Dynamics
10 Physics of Fluids
9 Proceedings of the American Mathematical Society
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal of Functional Analysis
8 Transactions of the American Mathematical Society
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Nonlinear Analysis. Theory, Methods & Applications
7 Journal of Engineering Mathematics
7 Nonlinear Analysis. Real World Applications
6 Journal of Computational Physics
6 Rocky Mountain Journal of Mathematics
6 Advances in Mathematics
6 Applied Mathematics and Computation
6 Physica D
6 Communications in Partial Differential Equations
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Calculus of Variations and Partial Differential Equations
6 Journal of Nonlinear Mathematical Physics
5 Communications in Mathematical Physics
5 Journal d’Analyse Mathématique
5 Journal of Mathematical Physics
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Mathematische Annalen
5 European Journal of Mechanics. B. Fluids
5 Communications on Pure and Applied Analysis
4 Computers & Mathematics with Applications
4 Communications on Pure and Applied Mathematics
4 Mathematical Methods in the Applied Sciences
4 Wave Motion
4 Theoretical and Computational Fluid Dynamics
4 Acta Mathematica
4 Numerical Functional Analysis and Optimization
4 Studies in Applied Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Discrete and Continuous Dynamical Systems
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Acta Mechanica
3 Applicable Analysis
3 Computers and Fluids
3 Duke Mathematical Journal
3 Journal of Computational and Applied Mathematics
3 Mathematika
3 Monatshefte für Mathematik
3 Mathematical Problems in Engineering
3 Journal of Evolution Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal for Numerical Methods in Fluids
2 Journal of Applied Mathematics and Mechanics
2 Mathematical Notes
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Inventiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Applied Mathematics and Mechanics. (English Edition)
2 Revista Matemática Iberoamericana
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Applied Mathematical Modelling
2 Potential Analysis
2 Journal of Mathematical Sciences (New York)
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Integral Transforms and Special Functions
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Bulletin of the American Mathematical Society
2 Complex Variables and Elliptic Equations
2 Discrete and Continuous Dynamical Systems. Series S
2 Analysis and Mathematical Physics
2 International Journal of Applied and Computational Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Analysis Mathematica
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Reviews of Modern Physics
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Physics of Fluids, A
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Prikladnaya Matematika i Mekhanika
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
...and 66 more Serials
all top 5

Cited in 47 Fields

306 Partial differential equations (35-XX)
305 Fluid mechanics (76-XX)
34 Ordinary differential equations (34-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
24 Numerical analysis (65-XX)
22 Functional analysis (46-XX)
18 Potential theory (31-XX)
16 Integral equations (45-XX)
16 Geophysics (86-XX)
14 Operator theory (47-XX)
12 Mechanics of deformable solids (74-XX)
9 Real functions (26-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Biology and other natural sciences (92-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Differential geometry (53-XX)
6 Probability theory and stochastic processes (60-XX)
5 Measure and integration (28-XX)
5 Approximations and expansions (41-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Functions of a complex variable (30-XX)
4 Convex and discrete geometry (52-XX)
4 Mechanics of particles and systems (70-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 General topology (54-XX)
3 Optics, electromagnetic theory (78-XX)
3 Quantum theory (81-XX)
3 Operations research, mathematical programming (90-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

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