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Boris Kolev

11
Documents

Publications

862452
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Well-posedness of the EPDiff equation with a pseudo-differential inertia operator

Martin Bauer , Martins Bruveris , Emanuel Cismas , Joachim Escher , Boris Kolev
Journal of Differential Equations, 2020, 269 (1), pp.288-325. ⟨10.1016/j.jde.2019.12.008⟩
Article dans une revue hal-02352635v1
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Two-component equations modelling water waves with constant vorticity

Joachim Escher , David Henry , Boris Kolev , Tony Lyons
Annali di Matematica Pura ed Applicata, 2016, 195 (1), pp.249-271. ⟨10.1007/s10231-014-0461-z⟩
Article dans une revue hal-01002338v2

Local and Global Well-posedness of the fractional order EPDiff equation on $R^d$

Joachim Escher , Martin Bauer , Boris Kolev
Journal of Differential Equations, 2015, 258 (6), pp.2010-2053. ⟨10.1016/j.jde.2014.11.021⟩
Article dans une revue hal-01111245v1
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Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle

Joachim Escher , Boris Kolev
Journal of Geometric Mechanics, 2014, 6 (3), pp.335-372. ⟨10.3934/jgm.2014.6.335⟩
Article dans une revue hal-00673137v4
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Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle

Joachim Escher , Boris Kolev
Journal of Evolution Equations, 2014, 14 (4-5), pp.949--968. ⟨10.1007/s00028-014-0245-3⟩
Article dans une revue hal-00851606v2
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The geometry of a vorticity model equation

Joachim Escher , Boris Kolev , Marcus Wunsch
Communications on Pure and Applied Mathematics, 2012, 11 (4), pp.1407 - 1419. ⟨10.3934/cpaa.2012.11.1407⟩
Article dans une revue hal-00528726v1

Geometrical Methods for Equations of Hydrodynamical Type

Boris Kolev , Joachim Escher
Journal of Nonlinear Mathematical Physics, 2012, 19 (supp01), 1240013 [18 p.]. ⟨10.1142/S140292511240013X⟩
Article dans une revue hal-00759798v1

Euler equations on a semi-direct product of the diffeomorphisms group by itself

Boris Kolev , Joachim Escher , Rossen Ivanov
Journal of Geometric Mechanics, 2011, 3 (3), pp.313 - 322. ⟨10.3934/jgm.2011.3.313⟩
Article dans une revue hal-00642934v1
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The Degasperis-Procesi equation as a non-metric Euler equation

Joachim Escher , Boris Kolev
Mathematische Zeitschrift, 2011, 269 (3), pp 1137-1153. ⟨10.1007/s00209-010-0778-2⟩
Article dans une revue hal-00409022v1

Geometrical Methods for Equations of Hydrodynamical Type

Boris Kolev , Joachim Escher
Mathflows 2012, Oct 2012, Porquerolles, France
Communication dans un congrès hal-01260318v1

Geometric aspects of the periodic $\mu$-DP equation

Boris Kolev , Joachim Escher , Martin Kohlmann
Nonlinear Parabolic Problems: In honor of Herbert Amann, May 2009, Bedlewo, Poland. pp.193-209
Communication dans un congrès hal-01268472v1