Found 27 Documents (Results 1–27)
A blow-up result for the periodic solutions to an integrable dispersive Hunter-Saxton equation. (English) Zbl 1486.35076
Geometric approach on the global conservative solutions of the Camassa-Holm equation. (English) Zbl 1428.35370
Blow-up analysis for the periodic two-component \(\mu \)-Hunter-Saxton system. (English) Zbl 1427.35231
The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation. (English) Zbl 1332.35087
Global estimates and blow-up criteria for the generalized Hunter-Saxton system. (English) Zbl 1304.35142
Blow-up of solutions to the generalized inviscid Proudman-Johnson equation. (English) Zbl 1277.35077
Reviewer: Cheng He (Beijing)
The Hunter-Saxton system and the geodesics on a pseudosphere. (English) Zbl 1282.58019
Reviewer: Agostino Prástaro (Roma)
Geometry of diffeomorphism groups, complete integrability and geometric statistics. (English) Zbl 1275.58006
Reviewer: Nicolai K. Smolentsev (Kemerovo)
On initial boundary value problems for variants of the Hunter-Saxton equation. (English) Zbl 1262.35195
Reviewer: Dafeng Zuo (Hefei)
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. (English) Zbl 1248.35052
Reviewer: Boris A. Malomed (Tel Aviv)
A two-component geodesic equation on a space of constant positive curvature. (English) Zbl 1242.53056
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).
A non-variational approach to the construction of new ‘higher-order’ conservation laws of the family of nonlinear equations \(\alpha (u_{t} + 3uu_{x}) + \beta (u_{txx} + 2u_{x}u_{xx} + uu_{xxx}) - \gamma u_{xxx} = 0\). (English) Zbl 1220.35150
MSC:
35Q53
Weak geodesic flow on a semidirect product and global solutions to the periodic Hunter-Saxton system. (English) Zbl 1252.35118
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