Details
| Original language | English |
|---|---|
| Article number | 1240013 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 19 |
| Issue number | SUPPL. 1 |
| Publication status | Published - 4 Mar 2013 |
Abstract
We describe some recent results for a class of nonlinear hydrodynamical approximation models where the geometric approach gives insight into a variety of aspects. The main contribution concerns analytical results for Euler equations on the diffeomorphism group of the circle for which the inertia operator is a nonlocal operator.
Keywords
- diffeomorphism group, Euler equation, fractional Sobolev metrics
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of Nonlinear Mathematical Physics, Vol. 19, No. SUPPL. 1, 1240013, 04.03.2013.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Geometrical methods for equations of hydrodynamical type
AU - Escher, Joachim
AU - Kolev, Boris
PY - 2013/3/4
Y1 - 2013/3/4
N2 - We describe some recent results for a class of nonlinear hydrodynamical approximation models where the geometric approach gives insight into a variety of aspects. The main contribution concerns analytical results for Euler equations on the diffeomorphism group of the circle for which the inertia operator is a nonlocal operator.
AB - We describe some recent results for a class of nonlinear hydrodynamical approximation models where the geometric approach gives insight into a variety of aspects. The main contribution concerns analytical results for Euler equations on the diffeomorphism group of the circle for which the inertia operator is a nonlocal operator.
KW - diffeomorphism group
KW - Euler equation
KW - fractional Sobolev metrics
UR - http://www.scopus.com/inward/record.url?scp=84870472415&partnerID=8YFLogxK
U2 - 10.1142/S140292511240013X
DO - 10.1142/S140292511240013X
M3 - Article
AN - SCOPUS:84870472415
VL - 19
JO - Journal of Nonlinear Mathematical Physics
JF - Journal of Nonlinear Mathematical Physics
SN - 1402-9251
IS - SUPPL. 1
M1 - 1240013
ER -