Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group.

Guha, Partha

Displaying similar documents to “Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group.”

Ito equation as a geodesic flow on $\hat{{Diff}^{s} (S^{1}) ⨀ C^{\infty} (S^{1})}$

Partha Guha (2000)

Archivum Mathematicum

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The Ito equation is shown to be a geodesic flow of $L^{2}$ metric on the semidirect product space $\hat{{𝐷𝑖𝑓𝑓}^{s} (S^{1}) ⨀ C^{\infty} (S^{1})}$ , where ${𝐷𝑖𝑓𝑓}^{s} (S^{1})$ is the group of orientation preserving Sobolev $H^{s}$ diffeomorphisms of the circle. We also study a geodesic flow of a $H^{1}$ metric.

A new simple proof for an inequality of Chebyshev type.

Mortici, Cristinel (2005)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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An improved Hardy-Rellich inequality with optimal constant.

Xiao, Ying-Xiong, Yang, Qiao-Hua (2009)

Journal of Inequalities and Applications [electronic only]

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Integrability and the Integral of Partial Functions from R into R 1

Noboru Endou, Yasunari Shidama, Masahiko Yamazaki (2006)

Formalized Mathematics

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In this paper, we showed the linearity of the indefinite integral [...] the form of which was introduced in [11]. In addition, we proved some theorems about the integral calculus on the subinterval of [a,b]. As a result, we described the fundamental theorem of calculus, that we developed in [11], by a more general expression.

Cahn-Hilliard equation with terms of lower order and non-constant mobility.

Changchun, Liu (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli.

Castro, Alfonso, Finan, Marcel B. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Some weighted multidimensional Berwald, Thunsdorff and Borell inequalities.

Pečarić, Josip, Persson, Lars Erik (1996)

Mathematica Pannonica

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On the exterior problem in 2D for stationary flows of fluids with shear dependent viscosity

Michael Bildhauer, Martin Fuchs (2012)

Commentationes Mathematicae Universitatis Carolinae

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On the complement of the unit disk $B$ we consider solutions of the equations describing the stationary flow of an incompressible fluid with shear dependent viscosity. We show that the velocity field $u$ is equal to zero provided ${u |}_{\partial B} = 0$ and ${lim}_{| x | \to \infty} {| x |}^{1 / 3} | u (x) | = 0$ uniformly. For slow flows the latter condition can be replaced by ${lim}_{| x | \to \infty} | u (x) | = 0$ uniformly. In particular, these results hold for the classical Navier-Stokes case.