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Volumn 259, Issue 1, 2007, Pages 73-81

Shock waves for the Burgers equation and curvatures of diffeomorphism groups

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EID: 38849205732     PISSN: 00815438     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0081543807040062     Document Type: Article
Times cited : (15)

References (15)
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    • (1966) Ann. Inst. Fourier , vol.16 , pp. 319-361
    • Arnold, V.I.1
  • 6
    • 0036888140 scopus 로고    scopus 로고
    • Perestroikas of Shocks and Singularities of Minimum Functions
    • 1-2
    • I. A. Bogaevsky, "Perestroikas of Shocks and Singularities of Minimum Functions," Physica D 173(1-2), 1-28 (2002); math.AP/0204237.
    • (2002) Physica D , vol.173 , pp. 1-28
    • Bogaevsky, I.A.1
  • 7
    • 0001052255 scopus 로고
    • Groups of Diffeomorphisms and the Notion of an Incompressible Fluid
    • D. G. Ebin and J. Marsden, "Groups of Diffeomorphisms and the Notion of an Incompressible Fluid," Ann. Math., Ser. 2, 92, 102-163 (1970).
    • (1970) Ann. Math., Ser. 2 , vol.92 , pp. 102-163
    • Ebin, D.G.1    Marsden, J.2
  • 9
    • 23944441093 scopus 로고    scopus 로고
    • Asymptotic Directions, Monge-Ampère Equations and the Geometry of Diffeomorphism Groups
    • Suppl.3
    • B. Khesin and G. Misiołek, "Asymptotic Directions, Monge-Ampère Equations and the Geometry of Diffeomorphism Groups," J. Math. Fluid Mech. 7,Suppl. 3, S365-S375 (2005).
    • (2005) J. Math. Fluid Mech. , vol.7
    • Khesin, B.1    Misiołek, G.2
  • 10
    • 34250112032 scopus 로고
    • Curvature of the Group of Measure-Preserving Diffeomorphisms of the n-Dimensional Torus
    • 6. [Sib. Math. J. 25, 893-903 (1984)]
    • A. M. Lukatskii, "Curvature of the Group of Measure-Preserving Diffeomorphisms of the n-Dimensional Torus," Sib. Mat. Zh. 25(6), 76-88 (1984) [Sib. Math. J. 25, 893-903 (1984)].
    • (1984) Sib. Mat. Zh. , vol.25 , pp. 76-88
    • Lukatskii, A.M.1
  • 11
    • 0035618489 scopus 로고    scopus 로고
    • Polar Factorization of Maps on Riemannian Manifolds
    • 3
    • R. J. McCann, "Polar Factorization of Maps on Riemannian Manifolds," Geom. Funct. Anal. 11(3), 589-608 (2001).
    • (2001) Geom. Funct. Anal. , vol.11 , pp. 589-608
    • McCann, R.J.1
  • 12
    • 0001674071 scopus 로고
    • Stability of Flows of Ideal Fluids and the Geometry of the Group of Diffeomorphisms
    • 1
    • G. Misiołek, "Stability of Flows of Ideal Fluids and the Geometry of the Group of Diffeomorphisms," Indiana Univ. Math. J. 42(1), 215-235 (1993).
    • (1993) Indiana Univ. Math. J. , vol.42 , pp. 215-235
    • Misiołek, G.1
  • 13
    • 0001560970 scopus 로고    scopus 로고
    • The Geometry of Dissipative Evolution Equations: The Porous Medium Equation
    • 1-2
    • F. Otto, "The Geometry of Dissipative Evolution Equations: The Porous Medium Equation," Commun. Part. Diff. Eqns. 26(1-2), 101-174 (2001).
    • (2001) Commun. Part. Diff. Eqns. , vol.26 , pp. 101-174
    • Otto, F.1
  • 14
    • 10144222397 scopus 로고    scopus 로고
    • For Ideal Fluids, Eulerian and Lagrangian Instabilities Are Equivalent
    • 5
    • S. C. Preston, "For Ideal Fluids, Eulerian and Lagrangian Instabilities Are Equivalent," Geom. Funct. Anal. 14(5), 1044-1062 (2004).
    • (2004) Geom. Funct. Anal. , vol.14 , pp. 1044-1062
    • Preston, S.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.