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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
689 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,384 times in 793 Documents Cited by Year
A shallow water equation as a geodesic flow on the Bott-Virasoro group. Zbl 0901.58022
Misiołek, Gerard
221
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
150
2007
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
101
2003
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
98
2010
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
82
2002
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
74
2008
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
68
2007
The Cauchy problem for an integrable shallow-water equation. Zbl 1009.35075
Himonas, A. Alexandrou; Misiołek, Gerard
62
2001
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
60
2010
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics. Zbl 1195.35247
Himonas, A. Alexandrou; Misiołek, Gerard
57
2010
Analyticity of the Cauchy problem for an integrable evolution equation. Zbl 1073.35008
Himonas, A. Alexandrou; Misiołek, Gerard
46
2003
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. Zbl 1092.35085
Himonas, A. Alexandrou; Misiołek, Gerard
39
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
34
2007
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms. Zbl 0799.58019
Misiołek, Gerard
32
1993
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
28
2013
Well-posedness of the Cauchy problem for a shallow water equation on the circle. Zbl 0945.35073
Himonas, Alexandrou A.; Misiołek, Gerard
27
2000
Singularities of the exponential map on the volume-preserving diffeomorphism group. Zbl 1105.35070
Ebin, D. G.; Misiołek, G.; Preston, S. C.
25
2006
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
18
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
13
1996
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
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
9
2018
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
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
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
The exponential map near conjugate points in 2D hydrodynamics. Zbl 1329.58003
Misiołek, Gerard
4
2015
On unique continuation for the modified Euler-Poisson equations. Zbl 1136.35066
Himonas, A. Alexandrou; Misiołek, Gerard; Tiğlay, Feride
3
2007
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
3
2019
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2
2005
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
2
2014
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
Exponential maps of Sobolev metrics on loop groups. Zbl 0927.58002
Misiolek, Gerard
2
1999
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
The exponential map on \(D_\mu^s\). Zbl 0954.58007
Ebin, David G.; Misiołek, Gerard
2
1999
Remarks on an integrable evolution equation. Zbl 1013.35074
Himonas, A. Alexandrou; Misiołek, Gerard
1
2002
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
1
2021
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
1
2021
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
3
2019
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
9
2018
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
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
4
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.
2
2014
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
28
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
18
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
98
2010
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
60
2010
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics. Zbl 1195.35247
Himonas, A. Alexandrou; Misiołek, Gerard
57
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
74
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
150
2007
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
68
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
34
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.
25
2006
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. Zbl 1092.35085
Himonas, A. Alexandrou; Misiołek, Gerard
39
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
101
2003
Analyticity of the Cauchy problem for an integrable evolution equation. Zbl 1073.35008
Himonas, A. Alexandrou; Misiołek, Gerard
46
2003
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
82
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
62
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
Exponential maps of Sobolev metrics on loop groups. Zbl 0927.58002
Misiolek, Gerard
2
1999
The exponential map on \(D_\mu^s\). Zbl 0954.58007
Ebin, David G.; Misiołek, Gerard
2
1999
A shallow water equation as a geodesic flow on the Bott-Virasoro group. Zbl 0901.58022
Misiołek, Gerard
221
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
13
1996
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms. Zbl 0799.58019
Misiołek, Gerard
32
1993
all top 5

Cited by 659 Authors

28 Himonas, A. Alexandrou
27 Liu, Yue
27 Yin, Zhaoyang
25 Mi, Yongsheng
25 Mu, Chunlai
22 Misiołek, Gerard
21 Guo, Zhengguang
19 Qu, Changzheng
18 Lenells, Jonatan
18 Preston, Stephen C.
18 Zhou, Shouming
16 Lai, Shaoyong
15 Bauer, Martin
15 Fu, Ying
14 Kolev, Boris
14 Yan, Wei
13 Guo, Boling
13 Li, Yongsheng
13 Zhou, Yong
12 Jiang, Zaihong
12 Khesin, Boris A.
12 Qiao, Zhijun
12 Ratiu, Tudor Stefan
12 Zhu, Mingxuan
11 Guha, Partha
11 Zhu, Min
10 Bruveris, Martins
10 Escher, Joachim
10 Tian, Lixin
9 Gay-Balmaz, François
9 Li, Jinlu
9 Modin, Klas
9 Ni, Lidiao
9 Tiğlay, Feride
8 Constantin, Adrian
8 Guo, Yunxi
8 Marsden, Jerrold Eldon
8 Moon, Byungsoo
8 Petronilho, Gerson
8 Wang, Xiaohuan
7 Benn, James
7 Gao, Hongjun
7 Jin, Liangbing
7 Kohlmann, Martin
7 Liu, Zhengrong
7 Lv, Guangying
7 Novruzov, Emil B.
7 Shen, Chunyu
7 Topalov, Peter J.
7 Wu, Xinglong
6 Holliman, Curtis
6 Holm, Darryl D.
6 Michor, Peter Wolfram
6 Wang, Haiquan
6 Wunsch, Marcus
6 Yang, Shaojie
6 Yu, Shengqi
6 Yu, Yanghai
6 Zhu, Weipeng
6 Zuo, Dafeng
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 Sarria, Alejandro
5 Tang, Hao
5 Tronci, Cesare
5 Yan, Kai
5 Yoneda, Tsuyoshi
5 Zhang, Shuanghu
4 Barostichi, Rafael F.
4 Christov, Ognyan
4 Cismas, Emanuel-Ciprian
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 Liu, Jingjing
4 Liu, Xiaochuan
4 Luo, Ting
4 Ortenzi, Giovanni
4 Ponce, Gustavo
4 Prykarpatsky, Yarema Anatoliyovych
4 Thompson, Ryan C.
4 Vialard, François-Xavier
4 Vorotnikov, Dmitry A.
4 Wu, Meng
4 Wu, Xing
4 Wu, Yonghong
4 Xu, Tianzhou
4 Yang, Cheng
4 Yang, Xingyu
...and 559 more Authors
all top 5

Cited in 159 Serials

69 Journal of Differential Equations
53 Journal of Mathematical Physics
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Discrete and Continuous Dynamical Systems
31 Journal of Mathematical Analysis and Applications
28 Journal of Nonlinear Mathematical Physics
24 Monatshefte für Mathematik
22 Nonlinear Analysis. Real World Applications
20 Journal of Geometry and Physics
18 Communications in Mathematical Physics
18 Journal of Functional Analysis
15 Applicable Analysis
15 Abstract and Applied Analysis
14 Journal of Nonlinear Science
12 Archive for Rational Mechanics and Analysis
12 Annals of Global Analysis and Geometry
12 Journal of Mathematical Fluid Mechanics
12 Journal of Geometric Mechanics
11 Boundary Value Problems
9 Differential Geometry and its Applications
9 Calculus of Variations and Partial Differential Equations
9 Journal of Evolution Equations
8 Letters in Mathematical Physics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Proceedings of the American Mathematical Society
7 Nonlinearity
7 Applied Mathematics and Computation
7 Physica D
6 Mathematical Methods in the Applied Sciences
6 Advances in Mathematics
6 Mathematische Annalen
6 Advances in Mathematical Physics
5 Reviews in Mathematical Physics
5 Acta Applicandae Mathematicae
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Studies in Applied Mathematics
4 Applied Mathematics Letters
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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
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 Regular and Chaotic Dynamics
3 Discrete and Continuous Dynamical Systems. Series B
3 Frontiers of Mathematics in China
3 Analysis and Mathematical Physics
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 Communications on Pure and Applied Analysis
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 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
1 Functional Analysis and its Applications
...and 59 more Serials
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Cited in 39 Fields

642 Partial differential equations (35-XX)
221 Dynamical systems and ergodic theory (37-XX)
180 Fluid mechanics (76-XX)
104 Global analysis, analysis on manifolds (58-XX)
89 Differential geometry (53-XX)
49 Mechanics of particles and systems (70-XX)
27 Quantum theory (81-XX)
26 Nonassociative rings and algebras (17-XX)
24 Numerical analysis (65-XX)
19 Topological groups, Lie groups (22-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
13 Probability theory and stochastic processes (60-XX)
12 Functional analysis (46-XX)
12 Operator theory (47-XX)
12 Mechanics of deformable solids (74-XX)
12 Geophysics (86-XX)
11 Systems theory; control (93-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Real functions (26-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Ordinary differential equations (34-XX)
5 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
4 Manifolds and cell complexes (57-XX)
4 Optics, electromagnetic theory (78-XX)
4 Information and communication theory, circuits (94-XX)
3 Statistics (62-XX)
3 Relativity and gravitational theory (83-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 Group theory and generalizations (20-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