The Exponential Map Near Conjugate Points In 2D Hydrodynamics
نویسندگان
چکیده
منابع مشابه
Exponential Growth of Spaces without Conjugate Points
An n-dimensional polyhedral space is a length space M (with intrinsic metric) triangulated into n-simplexes with smooth Riemannian metrics. In the definitions below, we assume that the triangulation is fixed. The boundary of M is the union of the (n− 1)-simplexes of the triangulation that are adjacent to only one (n− 1)-simplex. As usual, a geodesic in M is a naturally parametrized locally shor...
متن کاملCerebrospinal Pulsation Hydrodynamics in a 2D Simulation of Brain Ventricles
In this article, dynamics of the cerebrospinal fluid (CSF) was studied, using computational fluid dynamics. Using MRI images of two special cases, a 2-dimensional model of the ventricular system was made. CSF velocity and pressure distribution in ventricular system have high importance since the flow pattern of this liquid has an important effect on intracranial pressure, i.e., ICP, which has a...
متن کاملRational Approximation to the Exponential Function with Complex Conjugate Interpolation Points
In this paper, we study asymptotic properties of rational functions that interpolate the exponential function. The interpolation is performed with respect to a triangular scheme of complex conjugate points lying in bounded rectangular domains included in the horizontal strip |Im z|<2?. Moreover, the height of these domains cannot exceed some upper bound which depends on the type of rational fun...
متن کاملcerebrospinal pulsation hydrodynamics in a 2d simulation of brain ventricles
in this article, dynamics of the cerebrospinal fluid (csf) was studied, using computational fluid dynamics. using mri images of two special cases, a 2-dimensional model of the ventricular system was made. csf velocity and pressure distribution in ventricular system have high importance since the flow pattern of this liquid has an important effect on intracranial pressure, i.e., icp, which has a...
متن کاملClassification of Casimirs in 2D hydrodynamics
We describe a complete list of Casimirs for 2D Euler hydrodynamics on a surface without boundary: we define generalized enstrophies which, along with circulations, form a complete set of invariants for coadjoint orbits of area-preserving diffeomorphisms on a surface. We also outline a possible extension of main notions to the boundary case and formulate several open questions in that setting.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Arnold Mathematical Journal
سال: 2015
ISSN: 2199-6792,2199-6806
DOI: 10.1007/s40598-015-0019-1