GM
Gerard Misiołek
math.DGmath.APmath.MPmath-phmath.SGcs.ITFisher–Raohydrodynamicsinfinite-dimensional geometrymath.DS
On Valency
published · living versionsW_cham9d6b·v1 · currentpublished
Regularity of the solution map for the Oldroyd–B model with fractional stress dissipation
with Jiahong Wu, Mingyu Yu
1 version
Preprints & journals
21 papers in the corpus · 2007–2026Distance Geometry and a Hydrodynamical Hopf-Rinow Criterion2610.03926v1 · Theodore D. Drivas, Patrick Heslin, Gerard Misio\lek2026 · 0 citationsarXiv
Regularity of solution maps of the generalized surface quasi-geostrophic equations2603.12944v2 · Gerard Misio\lek, Xuan-Truong Vu, Tsuyoshi Yoneda2026 · 0 citationsarXiv
Singular Sets of Riemannian Exponential Maps in Hydrodynamics2509.03454v1 · James Benn, Patrick Heslin, Leandro Lichtenfelz et al.2025 · 0 citationsarXiv
Information geometry of diffeomorphism groups2411.03265v2 · Boris Khesin, Gerard Misio\lek, Klas Modin2024 · 0 citationsarXiv
Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations2312.04697v1 · Martin Bauer, Patrick Heslin, Gerard Misio\lek et al.2023 · 0 citationsarXiv
Geometric Hydrodynamics in Open Problems2205.01143v2 · Boris Khesin, Gerard Misiolek, Alexander Shnirelman2022 · 13 citationsarXiv
Conjugate and cut points in ideal fluid motion2105.11869v1 · Theodore D. Drivas, Gerard Misio\lek, Bin Shi et al.2021 · 10 citationsarXiv
Geometric hydrodynamics and infinite-dimensional Newton's equations2001.01143v2 · Boris Khesin, Gerard Misiolek, Klas Modin2020 · 28 citationsBull. Amer. Math. Soc. 58, 377-442 (2021)
Axisymmetric diffeomorphisms and ideal fluids on Riemannian 3-manifolds1911.10302v1 · Leandro Lichtenfelz, Gerard Misiolek, Stephen C. Preston2019 · 6 citationsarXiv
Geometric hydrodynamics via Madelung transform.29844194 · Khesin, Boris, Misiolek, Gerard, Modin, Klas2018 · 35 citationsProceedings of the National Academy of Sciences of the United States of America. 2018;115(24):6165-6170
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary1611.09993v1 · James Benn, Gerard Misiolek, Stephen C. Preston2016 · 3 citationsarXiv
Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces1601.01024v2 · Gerard Misio\lek, Tsuyoshi Yoneda2016 · 25 citationsarXiv
Loss of continuity of the solution map for the Euler equations in -modulation and Hölder spaces1412.4619v1 · Gerard Misio\lek, Tsuyoshi Yoneda2014 · 2 citationsarXiv
Local ill-posedness of the Euler equations in 1405.4933v1 · Gerard Misio\lek, Tsuyoshi Yoneda2014 · 1 citationarXiv
Ill-posedness of the incompressible Euler equations in the space1405.1943v1 · Gerard Misio\lek, Tsuyoshi Yoneda2014 · 7 citationsarXiv
Euler and Navier-Stokes equations on the hyperbolic plane.23091015 · Khesin, Boris, Misiolek, Gerard2013 · 31 citationsProceedings of the National Academy of Sciences of the United States of America. 2012;109(45):18324-6
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups1210.5476v1 · Jonatan Lenells, Gerard Misiolek2012 · 6 citationsarXiv
Curvatures of Sobolev metrics on diffeomorphism groups1109.1816v2 · Boris Khesin, Jonatan Lenells, Gerard Misiolek et al.2011 · 25 citationsarXiv
Geometry of diffeomorphism groups, complete integrability and optimal transport1105.0643v1 · Boris Khesin, Jonatan Lenells, Gerard Misiolek et al.2011 · 3 citationsarXiv
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms0803.3078v2 · Boris Khesin (U Toronto), Jonatan Lenells, Gerard Misiolek (U Notre Dame)2008 · 135 citationsarXiv
Shock waves for the Burgers equation and curvatures of diffeomorphism groupsmath/0702196v1 · Boris Khesin (U. of Toronto), Gerard Misiolek (U. of Notre Dame)2007 · 13 citationsarXiv
Career total: 63 works. 21 are in this corpus.
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