Gerard Misiołek

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All published works

Action	Title	Year	Authors
+ PDF Chat	Information geometry of diffeomorphism groups	2024	Boris Khesin Gerard Misiołek Klas Modin
+ PDF Chat	Geometric analysis of the generalized surface quasi-geostrophic equations	2024	Martin Bauer Patrick Heslin Gerard Misiołek Stephen C. Preston
+	On Continuity Properties of Solution Maps of the Generalized SQG Family	2023	Gerard Misiołek Xuan-Truong Vu
+ PDF Chat	Geometric Hydrodynamics in Open Problems	2023	Boris Khesin Gerard Misiołek Alexander Shnirelman
+	Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations	2023	Martin Bauer Patrick Heslin Gerard Misiołek Stephen C. Preston
+	Geometric Hydrodynamics in Open Problems	2022	Boris Khesin Gerard Misiołek Alexander Shnirelman
+ PDF Chat	Conjugate and cut points in ideal fluid motion	2021	Theodore D. Drivas Gerard Misiołek Bin Shi Tsuyoshi Yoneda
+ PDF Chat	Geometric hydrodynamics and infinite-dimensional Newton’s equations	2021	Boris Khesin Gerard Misiołek Klas Modin
+	Conjugate and cut points in ideal fluid motion	2021	Theodore D. Drivas Gerard Misiołek Bin Shi Tsuyoshi Yoneda
+ PDF Chat	Axisymmetric Diffeomorphisms and Ideal Fluids on Riemannian 3-Manifolds	2020	Leandro Lichtenfelz Gerard Misiołek Stephen C. Preston
+	Geometric Hydrodynamics of Compressible Fluids	2020	Boris Khesin Gerard Misiołek Klas Modin
+	Geometric hydrodynamics and infinite-dimensional Newton's equations	2020	Boris Khesin Gerard Misiołek Klas Modin
+	Geometric hydrodynamics and infinite-dimensional Newton's equations	2020	Boris Khesin Gerard Misiołek Klas Modin
+	Axisymmetric diffeomorphisms and ideal fluids on Riemannian 3-manifolds.	2019	Leandro Lichtenfelz Gerard Misiołek Stephen C. Preston
+ PDF Chat	Geometry of the Madelung Transform	2019	Boris Khesin Gerard Misiołek Klas Modin
+	Axisymmetric diffeomorphisms and ideal fluids on Riemannian 3-manifolds	2019	Leandro Lichtenfelz Gerard Misiołek Stephen C. Preston
+ PDF Chat	Geometric hydrodynamics via Madelung transform	2018	Boris Khesin Gerard Misiołek Klas Modin
+ PDF Chat	The Exponential Map of the Group of Area-Preserving Diffeomorphisms of a Surface with Boundary	2018	James Benn Gerard Misiołek Stephen C. Preston
+ PDF Chat	Newton's Equation on Diffeomorphisms and Densities	2017	Boris Khesin Gerard Misiołek Klas Modin
+ PDF Chat	Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces	2017	Gerard Misiołek Tsuyoshi Yoneda
+	The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary	2016	James Benn Gerard Misiołek Stephen C. Preston
+	WEAK NORM INFLATION IN A FAMILY OF SOBOLEV SPACES FOR THE 2D EULER EQUATIONS (Mathematical Analysis in Fluid and Gas Dynamics)	2016	Gerard Misiołek 剛米田
+	Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces	2016	Gerard Misiołek Tsuyoshi Yoneda
+	The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary	2016	James Benn Gerard Misiołek Stephen C. Preston
+ PDF Chat	Erratum to: Local ill-posedness of the incompressible Euler equations in $$C^1$$ C 1 and $$B^1_{\infty ,1}$$ B ∞ , 1 1	2015	Gerard Misiołek Tsuyoshi Yoneda
+ PDF Chat	The Exponential Map Near Conjugate Points In 2D Hydrodynamics	2015	Gerard Misiołek
+	Local ill-posedness of the incompressible Euler equations in $$C^1$$ C 1 and $$B^1_{\infty ,1}$$ B ∞ , 1 1	2015	Gerard Misiołek Tsuyoshi Yoneda
+	Local ill-posedness of the Euler equations in $B^1_{\infty,1}$	2014	Gerard Misiołek Tsuyoshi Yoneda
+	Loss of continuity of the solution map for the Euler equations in $α$-modulation and Hölder spaces	2014	Gerard Misiołek Tsuyoshi Yoneda
+	Ill-posedness of the incompressible Euler equations in the $C^1$ space	2014	Gerard Misiołek Tsuyoshi Yoneda
+ PDF Chat	Amari–Chentsov Connections and their Geodesics on Homogeneous Spaces of Diffeomorphism Groups	2014	Jonatan Lenells Gerard Misiołek
+ PDF Chat	Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics	2013	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston
+ PDF Chat	Curvatures of Sobolev metrics on diffeomorphism groups	2013	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston
+	Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups	2012	Jonatan Lenells Gerard Misiołek
+ PDF Chat	Euler and Navier–Stokes equations on the hyperbolic plane	2012	Boris Khesin Gerard Misiołek
+	Ill-posedness examples for the quasi-geostrophic and the Euler equations	2012	Gerard Misiołek Tsuyoshi Yoneda
+	Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups	2012	Jonatan Lenells Gerard Misiołek
+	Curvatures of Sobolev metrics on diffeomorphism groups	2011	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston
+	Geometry of diffeomorphism groups, complete integrability and optimal transport	2011	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston
+	Geometry of diffeomorphism groups, complete integrability and optimal transport	2011	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston
+	Curvatures of Sobolev metrics on diffeomorphism groups	2011	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston
+ PDF Chat	Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions	2010	Jonatan Lenells Gerard Misiołek Feride Tığlay
+	Non-Uniform Dependence for the Periodic CH Equation	2010	A. Alexandrou Himonas Carlos E. Kenig Gerard Misiołek
+	Non-Uniform Dependence on Initial Data of Solutions to the Euler Equations of Hydrodynamics	2010	A. Alexandrou Himonas Gerard Misiołek
+	Fredholm properties of Riemannian exponential maps on diffeomorphism groups	2009	Gerard Misiołek Stephen C. Preston
+ PDF Chat	Generalized Hunter–Saxton equation and the geometry of the group of circle diffeomorphisms	2008	Boris Khesin Jonatan Lenells Gerard Misiołek
+	Generalized Hunter-Saxton equation and geometry of the circle diffeomorphism group	2008	Boris Khesin Gerard Misiołek Jonatan Lenells
+	Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms	2008	Boris Khesin Jonatan Lenells Gerard Misiołek
+ PDF Chat	Shock waves for the Burgers equation and curvatures of diffeomorphism groups	2007	Boris Khesin Gerard Misiołek
+ PDF Chat	Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation	2007	A. Alexandrou Himonas Gerard Misiołek Gustavo Ponce Yong Zhou
+	Hamiltonian Reduction by Stages	2007	Jerrold E. Marsden Gerard Misiołek Juan‐Pablo Ortega Matthew Perlmutter Tudor S. Raţiu
+ PDF Chat	Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation	2007	A. Alexandrou Himonas Gerard Misiołek Gustavo Ponce
+	On unique continuation for the modified Euler-Poisson equations	2007	A. Alexandrou Himonas Gerard Misiołek Feride Tığlay
+	Shock waves for the Burgers equation and curvatures of diffeomorphism groups	2007	Boris Khesin Gerard Misiołek
+	Singularities of the exponential map on the volume-preserving diffeomorphism group	2006	David G. Ebin Gerard Misiołek Stephen C. Preston
+	Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation	2006	A. Alexandrou Himonas Gerard Misiołek Gustavo Ponce Yong Zhou
+ PDF Chat	Asymptotic Directions, Monge–Ampère Equations and the Geometry of Diffeomorphism Groups	2005	Boris Khesin Gerard Misiołek
+	None	2005	A. Alexandrou Himonas Gerard Misiołek
+	Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups	2005	Boris Khesin Gerard Misiołek
+	Analyticity of the Cauchy problem for an integrable evolution equation	2003	A. Alexandrou Himonas Gerard Misiołek
+	Euler equations on homogeneous spaces and Virasoro orbits	2003	Boris Khesin Gerard Misiołek
+	Classical solutions of the periodic Camassa—Holm equation	2002	Gerard Misiołek
+	A priori estimates for higher order multipliers on a circle	2002	A. Alexandrou Himonas Gerard Misiołek
+ PDF Chat	Remarks on an integrable evolution equation	2002	A. Alexandrou Himonas Gerard Misiołek
+	Euler equations on homogeneous spaces and Virasoro orbits	2002	Boris Khesin Gerard Misiołek
+	A conjecture concerning the exponential map on <i>D</i> <sub>μ</sub> ( <i>M</i> )	2001	Gerard Misiołek
+ PDF Chat	A priori estimates for Schrödinger type multipliers	2001	A. Alexandrou Himonas Gerard Misiołek
+ PDF Chat	The Cauchy problem for an integrable shallow-water equation	2001	A. Alexandrou Himonas Gerard Misiołek
+	Well-Posedness of the Cauchy Problem for a Shallow Water Equation on the Circle	2000	A. Alexandrou Himonas Gerard Misiołek
+	The initial value problem for a fifth order shallow water equation on the real line	2000	A. Alexandrou Himonas Gerard Misiołek
+	The exponential map on 𝒟^{𝓈}_{𝜇}	1999	David G. Ebin Gerard Misiołek
+ PDF Chat	Exponential maps of Sobolev metrics on loop groups	1999	Gerard Misiołek
+	Symplectic reduction for semidirect products and central extensions	1998	Jerrold E. Marsden Gerard Misiołek Matthew Perlmutter Tudor S. Raţiu
+	The cauchy problem for a shallow water type equation	1998	A. Alexandrou Himonas Gerard Misiołek A. Alexandrou Himonas Gerard Misiołek
+ PDF Chat	Conjugate points in the Bott-Virasoro group and the KdV equation	1997	Gerard Misiołek
+ PDF Chat	Conjugate points in $\mathcal {D}_{\mu }(T^2)$	1996	Gerard Misiołek

Common Coauthors

Coauthor	Papers Together
Boris Khesin	26
Stephen C. Preston	16
A. Alexandrou Himonas	15
Jonatan Lenells	13
Tsuyoshi Yoneda	10
Klas Modin	8
James Benn	3
Gustavo Ponce	3
Leandro Lichtenfelz	3
Jerrold E. Marsden	2
Feride Tığlay	2
Yong Zhou	2
Theodore D. Drivas	2
Alexander Shnirelman	2
Martin Bauer	2
Tudor S. Raţiu	2
Patrick Heslin	2
David G. Ebin	2
Bin Shi	2
Matthew Perlmutter	2
剛米田	1
Xuan-Truong Vu	1
Juan‐Pablo Ortega	1
Carlos E. Kenig	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits	1966	Vladimir I. Arnold	36
+	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid	1970	David G. Ebin Jerrold E. Marsden	31
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	18
+	Classical solutions of the periodic Camassa—Holm equation	2002	Gerard Misiołek	15
+	Un theor�me sur l'existence du mouvement plan d'un fluide parfait, homog�ne, incompressible, pendant un temps infiniment long	1933	W. Wolibner	15
+	A shallow water equation as a geodesic flow on the Bott-Virasoro group	1998	Gerard Misio łek	14
+	Euler equations on homogeneous spaces and Virasoro orbits	2003	Boris Khesin Gerard Misiołek	13
+	THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION	2001	Félix Otto	12
+ PDF Chat	Hilbert manifolds without epiconjugate points	1965	Nathaniel Grossman	11
+	A shallow water equation on the circle	1999	Adrian Constantin H. P. McKean	11
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas	11
+	Fredholm properties of Riemannian exponential maps on diffeomorphism groups	2009	Gerard Misiołek Stephen C. Preston	11
+	The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories	1998	Darryl D. Holm Jerrold E. Marsden Tudor S. Raţiu	10
+	Singularities of the exponential map on the volume-preserving diffeomorphism group	2006	David G. Ebin Gerard Misiołek Stephen C. Preston	10
+ PDF Chat	Conjugate points in $\mathcal {D}_{\mu }(T^2)$	1996	Gerard Misiołek	9
+	Microglobal Analysis of the Euler Equations	2005	Alexander Shnirelman	9
+	On the Volumorphism Group, the First Conjugate Point is Always the Hardest	2006	Stephen C. Preston	9
+	An Infinite Dimensional Version of Sard's Theorem	1965	Stephen T. Smale	8
+	Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation	2000	Yi A. Li Peter J. Olver	8
+ PDF Chat	On the volume elements on a manifold	1965	Jürgen Moser	7
+	Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy	1998	Richard Beals D. H. Sattinger Jacek Szmigielski	7
+ PDF Chat	Loss of smoothness and energy conserving rough weak solutions for the $3d$ Euler equations	2010	Claude Bardos Edriss S. Titi	7
+	ON THE GEOMETRY OF THE GROUP OF DIFFEOMORPHISMS AND THE DYNAMICS OF AN IDEAL INCOMPRESSIBLE FLUID	1987	Alexander Shnirelman	7
+	Conjugate points on the symplectomorphism group	2015	James Benn	6
+ PDF Chat	A few remarks on the Camassa-Holm equation	2001	Raphaël Danchin	6
+ PDF Chat	Polar factorization of maps on Riemannian manifolds	2001	Robert J. McCann	6
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin	6
+	Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation	1998	Adrian Constantin Joachim Escher	6
+ PDF Chat	The Cauchy problem for an integrable shallow-water equation	2001	A. Alexandrou Himonas Gerard Misiołek	6
+	On classical solutions of the two-dimensional non-stationary Euler equation	1967	Tosio Kato	6
+	Existence of Solution for the Euler Equations in a Critical Besov Space (ℝ<sup><i>n</i></sup>)	2004	Hee Chul Pak Young Ja Park	6
+	A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem	2000	Jean‐David Benamou Yann Brenier	6
+ PDF Chat	The Geometry of Axisymmetric Ideal Fluid Flows with Swirl	2016	Pearce Washabaugh Stephen C. Preston	6
+	Traveling wave solutions of the Camassa–Holm equation	2004	Jonatan Lenells	6
+ PDF Chat	Weak geodesic flow and global solutions of the Hunter-Saxton equation	2007	Jonatan Lenells	5
+	Remarks on the Euler equation	1974	J P Bourguignon Haı̈m Brezis	5
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	5
+ PDF Chat	Global Existence for the Generalized Two-Component Hunter–Saxton System	2011	Hao Wu Marcus Wunsch	5
+	Dynamics of Director Fields	1991	John K. Hunter Ralph Saxton	5
+	On the Cauchy problem for the Camassa–Holm equation	2001	Guillermo Rodrı́guez-Blanco	5
+	On a completely integrable nonlinear hyperbolic variational equation	1994	John K. Hunter Yuxi Zheng	5
+	The Hunter–Saxton equation describes the geodesic flow on a sphere	2007	Jonatan Lenells	5
+ PDF Chat	Low-Regularity Solutions of the Periodic Camassa–Holm Equation	2007	Camillo De Lellis Thomas Kappeler Peter Topalov	5
+	Nonlinear evolution equations and the Euler flow	1984	Tosio Kato Chi Yuen Lai	5
+ PDF Chat	Diffeomorphism groups of compact manifolds	2007	N. K. Smolentsev	5
+	Nonpositive curvature on the area-preserving diffeomorphism group	2004	Stephen C. Preston	5
+	Hydrodynamics in Besov Spaces	1998	Misha Vishik	5
+ PDF Chat	Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics	2013	Boris Khesin Jonatan Lenells Gerard Misiołek Stephen C. Preston	5
+ PDF Chat	On geodesic exponential maps of the Virasoro group	2006	Adrian Constantin Thomas Kappeler Boris Kolev Peter Topalov	5
+ PDF Chat	Global Solutions of the Hunter--Saxton Equation	2005	Alberto Bressan Adrian Constantin	5