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Author ID: misiolek.gerard Recent zbMATH articles by "Misiołek, Gerard"
Published as: Misiołek, Gerard; Misiołek, G.; Misiolek, Gerard
Documents Indexed: 46 Publications since 1993, including 1 Book
Co-Authors: 19 Co-Authors with 37 Joint Publications
708 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 1,458 times in 829 Documents Cited by Year
A shallow water equation as a geodesic flow on the Bott-Virasoro group. Zbl 0901.58022
Misiołek, Gerard
230
1998
Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Zbl 1142.35078
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo; Zhou, Yong
155
2007
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
106
2003
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
103
2010
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
86
2002
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
80
2008
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
72
2007
The Cauchy problem for an integrable shallow-water equation. Zbl 1009.35075
Himonas, A. Alexandrou; Misiołek, Gerard
64
2001
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
64
2010
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics. Zbl 1195.35247
Himonas, A. Alexandrou; Misiołek, Gerard
62
2010
Analyticity of the Cauchy problem for an integrable evolution equation. Zbl 1073.35008
Himonas, A. Alexandrou; Misiołek, Gerard
48
2003
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. Zbl 1092.35085
Himonas, A. Alexandrou; Misiołek, Gerard
41
2005
Fredholm properties of Riemannian exponential maps on diffeomorphism groups. Zbl 1183.58006
Misiołek, Gerard; Preston, Stephen C.
37
2010
Non-uniform continuity in \(H^1\) of the solution map of the CH equation. Zbl 1127.35056
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo
36
2007
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms. Zbl 0799.58019
Misiołek, Gerard
35
1993
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
32
2013
Singularities of the exponential map on the volume-preserving diffeomorphism group. Zbl 1105.35070
Ebin, D. G.; Misiołek, G.; Preston, S. C.
27
2006
Well-posedness of the Cauchy problem for a shallow water equation on the circle. Zbl 0945.35073
Himonas, Alexandrou A.; Misiołek, Gerard
27
2000
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
19
2013
The Cauchy problem for a shallow water type equation. Zbl 0895.35021
Himonas, A. Alexandrou; Misiołek, Gerard
17
1998
Conjugate points in \(D_ \mu (T^ 2)\). Zbl 0849.58004
Misiołek, Gerard
15
1996
Symplectic reduction for semidirect products and central extensions. Zbl 0973.53069
Marsden, Jerrold E.; Misiołek, Gerard; Perlmutter, Matthew; Ratiu, Tudor S.
13
1998
Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces. Zbl 1388.35160
Misiołek, Gerard; Yoneda, Tsuyoshi
11
2018
Conjugate points in the Bott-Virasoro group and the KdV equation. Zbl 0861.58004
Misiolek, Gerard
10
1997
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
9
2018
The initial value problem for a fifth order shallow water equation on the real line. Zbl 0955.35065
Himonas, A. Alexandrou; Misiołek, Gerard
8
2000
Ill-posedness examples for the quasi-geostrophic and the Euler equations. Zbl 1317.35265
Misiołek, Gerard; Yoneda, Tsuyoshi
8
2012
The exponential map on the free loop space is Fredholm. Zbl 0906.58002
Misiołek, G.
6
1997
The exponential map near conjugate points in 2D hydrodynamics. Zbl 1329.58003
Misiołek, Gerard
5
2015
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
4
2019
Shock waves for the Burgers equation and curvatures of diffeomorphism groups. Zbl 1161.35464
Khesin, B.; Misiołek, G.
4
2007
Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty,1}\). Zbl 1336.35280
Misiołek, Gerard; Yoneda, Tsuyoshi
4
2016
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
3
2014
On unique continuation for the modified Euler-Poisson equations. Zbl 1136.35066
Himonas, A. Alexandrou; Misiołek, Gerard; Tiğlay, Feride
3
2007
Erratum to: “Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty, 1}\)”. Zbl 1398.35156
Misiołek, Gerard; Yoneda, Tsuyoshi
2
2015
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary. Zbl 1412.35234
Benn, James; Misiołek, Gerard; Preston, Stephen C.
2
2018
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2
2005
The exponential map on \(D_\mu^s\). Zbl 0954.58007
Ebin, David G.; Misiołek, Gerard
2
1999
Exponential maps of Sobolev metrics on loop groups. Zbl 0927.58002
Misiolek, Gerard
2
1999
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2
2021
Remarks on an integrable evolution equation. Zbl 1013.35074
Himonas, A. Alexandrou; Misiołek, Gerard
1
2002
Conjugate and cut points in ideal fluid motion. Zbl 1485.58011
Drivas, Theodore D.; Misiołek, Gerard; Shi, Bin; Yoneda, Tsuyoshi
1
2022
Conjugate and cut points in ideal fluid motion. Zbl 1485.58011
Drivas, Theodore D.; Misiołek, Gerard; Shi, Bin; Yoneda, Tsuyoshi
1
2022
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2
2021
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
4
2019
Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces. Zbl 1388.35160
Misiołek, Gerard; Yoneda, Tsuyoshi
11
2018
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
9
2018
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary. Zbl 1412.35234
Benn, James; Misiołek, Gerard; Preston, Stephen C.
2
2018
Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty,1}\). Zbl 1336.35280
Misiołek, Gerard; Yoneda, Tsuyoshi
4
2016
The exponential map near conjugate points in 2D hydrodynamics. Zbl 1329.58003
Misiołek, Gerard
5
2015
Erratum to: “Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty, 1}\)”. Zbl 1398.35156
Misiołek, Gerard; Yoneda, Tsuyoshi
2
2015
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
3
2014
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
32
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
19
2013
Ill-posedness examples for the quasi-geostrophic and the Euler equations. Zbl 1317.35265
Misiołek, Gerard; Yoneda, Tsuyoshi
8
2012
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
103
2010
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
64
2010
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics. Zbl 1195.35247
Himonas, A. Alexandrou; Misiołek, Gerard
62
2010
Fredholm properties of Riemannian exponential maps on diffeomorphism groups. Zbl 1183.58006
Misiołek, Gerard; Preston, Stephen C.
37
2010
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
80
2008
Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Zbl 1142.35078
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo; Zhou, Yong
155
2007
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
72
2007
Non-uniform continuity in \(H^1\) of the solution map of the CH equation. Zbl 1127.35056
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo
36
2007
Shock waves for the Burgers equation and curvatures of diffeomorphism groups. Zbl 1161.35464
Khesin, B.; Misiołek, G.
4
2007
On unique continuation for the modified Euler-Poisson equations. Zbl 1136.35066
Himonas, A. Alexandrou; Misiołek, Gerard; Tiğlay, Feride
3
2007
Singularities of the exponential map on the volume-preserving diffeomorphism group. Zbl 1105.35070
Ebin, D. G.; Misiołek, G.; Preston, S. C.
27
2006
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. Zbl 1092.35085
Himonas, A. Alexandrou; Misiołek, Gerard
41
2005
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2
2005
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
106
2003
Analyticity of the Cauchy problem for an integrable evolution equation. Zbl 1073.35008
Himonas, A. Alexandrou; Misiołek, Gerard
48
2003
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
86
2002
Remarks on an integrable evolution equation. Zbl 1013.35074
Himonas, A. Alexandrou; Misiołek, Gerard
1
2002
The Cauchy problem for an integrable shallow-water equation. Zbl 1009.35075
Himonas, A. Alexandrou; Misiołek, Gerard
64
2001
Well-posedness of the Cauchy problem for a shallow water equation on the circle. Zbl 0945.35073
Himonas, Alexandrou A.; Misiołek, Gerard
27
2000
The initial value problem for a fifth order shallow water equation on the real line. Zbl 0955.35065
Himonas, A. Alexandrou; Misiołek, Gerard
8
2000
The exponential map on \(D_\mu^s\). Zbl 0954.58007
Ebin, David G.; Misiołek, Gerard
2
1999
Exponential maps of Sobolev metrics on loop groups. Zbl 0927.58002
Misiolek, Gerard
2
1999
A shallow water equation as a geodesic flow on the Bott-Virasoro group. Zbl 0901.58022
Misiołek, Gerard
230
1998
The Cauchy problem for a shallow water type equation. Zbl 0895.35021
Himonas, A. Alexandrou; Misiołek, Gerard
17
1998
Symplectic reduction for semidirect products and central extensions. Zbl 0973.53069
Marsden, Jerrold E.; Misiołek, Gerard; Perlmutter, Matthew; Ratiu, Tudor S.
13
1998
Conjugate points in the Bott-Virasoro group and the KdV equation. Zbl 0861.58004
Misiolek, Gerard
10
1997
The exponential map on the free loop space is Fredholm. Zbl 0906.58002
Misiołek, G.
6
1997
Conjugate points in \(D_ \mu (T^ 2)\). Zbl 0849.58004
Misiołek, Gerard
15
1996
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms. Zbl 0799.58019
Misiołek, Gerard
35
1993
all top 5

Cited by 695 Authors

28 Himonas, A. Alexandrou
28 Liu, Yue
27 Yin, Zhaoyang
26 Mi, Yongsheng
25 Mu, Chunlai
22 Misiołek, Gerard
21 Guo, Zhengguang
20 Qu, Changzheng
19 Preston, Stephen C.
19 Zhou, Shouming
18 Lenells, Jonatan
17 Bauer, Martin
17 Lai, Shaoyong
15 Fu, Ying
15 Guo, Boling
14 Kolev, Boris
14 Yan, Wei
13 Li, Yongsheng
13 Ratiu, Tudor Stefan
13 Zhou, Yong
12 Jiang, Zaihong
12 Khesin, Boris A.
12 Qiao, Zhijun
12 Zhu, Mingxuan
11 Guha, Partha
11 Li, Jinlu
11 Moon, Byungsoo
11 Zhu, Min
10 Bruveris, Martins
10 Escher, Joachim
10 Gay-Balmaz, François
10 Tian, Lixin
9 Modin, Klas
9 Ni, Lidiao
9 Tiğlay, Feride
8 Constantin, Adrian
8 Guo, Yunxi
8 Marsden, Jerrold Eldon
8 Novruzov, Emil B.
8 Petronilho, Gerson
8 Topalov, Peter J.
8 Wang, Xiaohuan
7 Benn, James
7 Gao, Hongjun
7 Jin, Liangbing
7 Kohlmann, Martin
7 Liu, Zhengrong
7 Lv, Guangying
7 Shen, Chunyu
7 Wu, Xinglong
7 Yang, Shaojie
7 Yu, Yanghai
7 Zhu, Weipeng
6 Holliman, Curtis
6 Holm, Darryl Dallas
6 Michor, Peter Wolfram
6 Sarria, Alejandro
6 Tang, Hao
6 Tronci, Cesare
6 Wang, Haiquan
6 Wunsch, Marcus
6 Yoneda, Tsuyoshi
6 Yu, Shengqi
6 Zhang, Ying
6 Zuo, Dafeng
5 Chen, Yong
5 Hakkaev, Sevdzhan A.
5 Ivanov, Rossen I.
5 Li, Fengquan
5 Liu, Xingxing
5 Mantzavinos, Dionyssios
5 Ohsawa, Tomoki
5 Reyes, Enrique G.
5 Wang, Feng
5 Wu, Xing
5 Yan, Kai
5 Zhang, Lei
5 Zhang, Shuanghu
4 Barostichi, Rafael F.
4 Christov, Ognyan
4 Cismas, Emanuel-Ciprian
4 Cruzeiro, Ana-Bela
4 Esen, Oğul
4 Gao, Anna
4 Gorsky, Jennifer M.
4 Gui, Guilong
4 Guo, Fei
4 Harms, Philipp
4 He, Huijun
4 Huang, Daiwen
4 Inci, Hasan
4 Lee, Jaemin
4 Liu, Jingjing
4 Liu, Xiaochuan
4 Luo, Ting
4 Marrero, Juan Carlos
4 McOwen, Robert C.
4 Ortenzi, Giovanni
4 Ponce, Gustavo
4 Prykarpatsky, Yarema Anatoliyovych
...and 595 more Authors
all top 5

Cited in 166 Serials

71 Journal of Differential Equations
55 Journal of Mathematical Physics
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Discrete and Continuous Dynamical Systems
32 Journal of Mathematical Analysis and Applications
29 Journal of Nonlinear Mathematical Physics
27 Monatshefte für Mathematik
25 Nonlinear Analysis. Real World Applications
21 Journal of Geometry and Physics
18 Applicable Analysis
18 Communications in Mathematical Physics
18 Journal of Functional Analysis
16 Journal of Nonlinear Science
15 Abstract and Applied Analysis
13 Journal of Geometric Mechanics
12 Archive for Rational Mechanics and Analysis
12 Annals of Global Analysis and Geometry
12 Journal of Mathematical Fluid Mechanics
11 Boundary Value Problems
10 Journal of Evolution Equations
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Differential Geometry and its Applications
9 Calculus of Variations and Partial Differential Equations
8 Letters in Mathematical Physics
8 Proceedings of the American Mathematical Society
8 Physica D
7 Nonlinearity
7 Applied Mathematics and Computation
7 Mathematische Annalen
6 Mathematical Methods in the Applied Sciences
6 Advances in Mathematics
6 Advances in Mathematical Physics
5 Reviews in Mathematical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Acta Applicandae Mathematicae
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Applied Mathematics Letters
5 Geometric and Functional Analysis. GAFA
5 Communications in Partial Differential Equations
5 SIAM Journal on Mathematical Analysis
5 Journal of Inequalities and Applications
5 Arnold Mathematical Journal
4 Studies in Applied Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Regular and Chaotic Dynamics
4 Journal of High Energy Physics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 International Journal of Geometric Methods in Modern Physics
4 Discrete and Continuous Dynamical Systems. Series S
4 Analysis and Mathematical Physics
3 Wave Motion
3 Annales de l’Institut Fourier
3 Journal of Dynamics and Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Mathematical Physics, Analysis and Geometry
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications on Pure and Applied Analysis
3 Frontiers of Mathematics in China
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Ukrainian Mathematical Journal
2 BIT
2 Bulletin of the London Mathematical Society
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Quarterly of Applied Mathematics
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Dynamics and Stability of Systems
2 The Journal of Geometric Analysis
2 NoDEA. Nonlinear Differential Equations and Applications
2 Bulletin des Sciences Mathématiques
2 Geometry & Topology
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Function Spaces and Applications
2 Advances in Difference Equations
2 Communications in Computational Physics
2 Science China. Mathematics
2 Journal of Function Spaces
2 Information Geometry
2 Electronic Research Archive
1 International Journal of Modern Physics B
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
...and 66 more Serials
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Cited in 39 Fields

668 Partial differential equations (35-XX)
231 Dynamical systems and ergodic theory (37-XX)
191 Fluid mechanics (76-XX)
108 Global analysis, analysis on manifolds (58-XX)
95 Differential geometry (53-XX)
52 Mechanics of particles and systems (70-XX)
30 Quantum theory (81-XX)
27 Nonassociative rings and algebras (17-XX)
26 Numerical analysis (65-XX)
20 Topological groups, Lie groups (22-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
14 Probability theory and stochastic processes (60-XX)
14 Mechanics of deformable solids (74-XX)
13 Functional analysis (46-XX)
13 Geophysics (86-XX)
12 Operator theory (47-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Systems theory; control (93-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Real functions (26-XX)
8 Ordinary differential equations (34-XX)
7 Several complex variables and analytic spaces (32-XX)
5 Algebraic geometry (14-XX)
5 Manifolds and cell complexes (57-XX)
4 Functions of a complex variable (30-XX)
4 Statistics (62-XX)
4 Optics, electromagnetic theory (78-XX)
4 Information and communication theory, circuits (94-XX)
3 Relativity and gravitational theory (83-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Computer science (68-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year