Bauer, M.; Bruveris, M.; Cismas, E.; Escher, J.; Kolev, B. Well-posedness of the EPDiff equation with a pseudo-differential inertia operator. (English) Zbl 1437.58013 J. Differ. Equations 269, No. 1, 288-325 (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 35Q35 PDFBibTeX XMLCite \textit{M. Bauer} et al., J. Differ. Equations 269, No. 1, 288--325 (2020; Zbl 1437.58013) Full Text: DOI arXiv
Escher, Joachim; Henry, David; Kolev, Boris; Lyons, Tony Two-component equations modelling water waves with constant vorticity. (English) Zbl 1353.35236 Ann. Mat. Pura Appl. (4) 195, No. 1, 249-271 (2016). Reviewer: Song Jiang (Beijing) MSC: 35Q35 35-02 76B15 35Q53 58D05 PDFBibTeX XMLCite \textit{J. Escher} et al., Ann. Mat. Pura Appl. (4) 195, No. 1, 249--271 (2016; Zbl 1353.35236) Full Text: DOI arXiv
Bauer, Martin; Escher, Joachim; Kolev, Boris Local and global well-posedness of the fractional order EPDiff equation on \(\mathbb{R}^d\). (English) Zbl 1323.58007 J. Differ. Equations 258, No. 6, 2010-2053 (2015). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58D05 35Q35 35R11 PDFBibTeX XMLCite \textit{M. Bauer} et al., J. Differ. Equations 258, No. 6, 2010--2053 (2015; Zbl 1323.58007) Full Text: DOI arXiv
Escher, Joachim; Kolev, Boris Geodesic completeness for Sobolev \(H^{s}\)-metrics on the diffeomorphism group of the circle. (English) Zbl 1318.58003 J. Evol. Equ. 14, No. 4-5, 949-968 (2014). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 35Q53 58B20 58D25 53C22 PDFBibTeX XMLCite \textit{J. Escher} and \textit{B. Kolev}, J. Evol. Equ. 14, No. 4--5, 949--968 (2014; Zbl 1318.58003) Full Text: DOI arXiv
Escher, Joachim; Kolev, Boris Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. (English) Zbl 1308.58005 J. Geom. Mech. 6, No. 3, 335-372 (2014). MSC: 58D05 35Q53 PDFBibTeX XMLCite \textit{J. Escher} and \textit{B. Kolev}, J. Geom. Mech. 6, No. 3, 335--372 (2014; Zbl 1308.58005) Full Text: DOI arXiv
Escher, Joachim; Kolev, Boris Geometrical methods for equations of hydrodynamical type. (English) Zbl 1362.58002 J. Nonlinear Math. Phys. 19, Suppl. 1, 161-178 (2012). MSC: 58D05 35Q53 PDFBibTeX XMLCite \textit{J. Escher} and \textit{B. Kolev}, J. Nonlinear Math. Phys. 19, 161--178 (2012; Zbl 1362.58002) Full Text: DOI
Escher, Joachim; Kolev, Boris; Wunsch, Marcus The geometry of a vorticity model equation. (English) Zbl 1372.58005 Commun. Pure Appl. Anal. 11, No. 4, 1407-1419 (2012). MSC: 58B25 35Q35 35Q86 58D05 PDFBibTeX XMLCite \textit{J. Escher} et al., Commun. Pure Appl. Anal. 11, No. 4, 1407--1419 (2012; Zbl 1372.58005) Full Text: DOI arXiv
Escher, Joachim; Kohlmann, Martin; Kolev, Boris Geometric aspects of the periodic \(\mu \)-Degasperis-Procesi equation. (English) Zbl 1250.58005 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 193-209 (2011). MSC: 58D05 53D25 37K65 PDFBibTeX XMLCite \textit{J. Escher} et al., Prog. Nonlinear Differ. Equ. Appl. 80, 193--209 (2011; Zbl 1250.58005) Full Text: DOI arXiv
Escher, Joachim; Ivanov, Rossen; Kolev, Boris Euler equations on a semi-direct product of the diffeomorphisms group by itself. (English) Zbl 1277.37101 J. Geom. Mech. 3, No. 3, 313-322 (2011). MSC: 37K65 35Q53 58D05 PDFBibTeX XMLCite \textit{J. Escher} et al., J. Geom. Mech. 3, No. 3, 313--322 (2011; Zbl 1277.37101) Full Text: DOI
Escher, Joachim; Kolev, Boris The Degasperis-Procesi equation as a non-metric Euler equation. (English) Zbl 1234.35220 Math. Z. 269, No. 3-4, 1137-1153 (2011). Reviewer: Smail Djebali (Algiers) MSC: 35Q53 58D05 53D25 PDFBibTeX XMLCite \textit{J. Escher} and \textit{B. Kolev}, Math. Z. 269, No. 3--4, 1137--1153 (2011; Zbl 1234.35220) Full Text: DOI arXiv