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The positive solutions of the Matukuma equation and the problem of finite radius and finite
, 2010
"... This work is an extensive study of the 3 different types of positive solutions of the Matukuma equation 1r2 r2φ′ = − rλ−2 (1+r2)λ/2 φp, p> 1, λ> 0: the Esolutions (regular at r = 0), the Msolutions (singular at r = 0) and the Fsolutions (whose existence begins away from r = 0). An essenti ..."
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Cited by 2 (0 self)
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solutions. The asymptotic expansions obtained make it possible to apply the results to the important question of stellar dynamics which solutions lead to galactic models (stationary solutions of the VlasovPoisson system) of finite radius and/or finite mass for different p, λ.
The deformed matrix model at finite radius and a new duality symmetry,” Phys
 Lett. B
, 1994
"... The 1/x 2 deformed c = 1 matrix model is studied at finite radius and nonzero cosmological constant. Calculational techniques are presented and illustrated in some examples. Furthermore, a new kind of R → 1/R duality is discovered, which mixes different genera. CERNTH.7021/93 Recently the 1/x 2 def ..."
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Cited by 9 (8 self)
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The 1/x 2 deformed c = 1 matrix model is studied at finite radius and nonzero cosmological constant. Calculational techniques are presented and illustrated in some examples. Furthermore, a new kind of R → 1/R duality is discovered, which mixes different genera. CERNTH.7021/93 Recently the 1/x 2
The Positive Solutions of the Matukuma Equation and the Problem of Finite Radius and Finite Mass
"... This work is an extensive study of the 3 different types of positive solutions of the Matukuma equation 1r2 r2φ′ = − rλ−2 (1+r2)λ/2 φp, p> 1, λ> 0: the Esolutions (regular at r = 0), the Msolutions (singular at r = 0) and the Fsolutions (whose existence begins away from r = 0). An essenti ..."
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solutions. The asymptotic expansions obtained make it possible to apply the results to the important question of stellar dynamics which solutions lead to galactic models (stationary solutions of the VlasovPoisson system) of finite radius and/or finite mass for different p, λ. Contents 1. Introduction.................................
Scattering of scalar and Dirac particles by a magnetic tube of finite radius
, 1997
"... We consider the Dirac equation in cylindrically symmetric magnetic fields and find its normal modes as eigenfunctions of a complete set of commuting operators. This set consists of the Dirac operator itself, the zcomponents of the linear and the total angular momenta, and of one of the possible spi ..."
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spin polarization operators. The spin structure of the solution is completely fixed independently of the radial distribution of the magnetic field which influences only the radial modes. We solve explicitly the radial equations for the uniform magnetic field inside a solenoid of a finite radius
A. Salhi Turbulent Flow Velocity Between Rotating Coaxial Disks of Finite Radius
"... The turbulent flow between two rotating coaxial disks is driven by frictional forces. ..."
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The turbulent flow between two rotating coaxial disks is driven by frictional forces.
Exact Timedependent Solutions for the Thin Accretion Disc Equation: Boundary Conditions at Finite Radius
"... ar ..."
the Head in a Well of Finite Radius Using the U,S, Geological Survey Modular Finite Difference GroundWater Flow Model
, 1997
"... Any use of trade, product, or firm names in this publication is for descriptive purposes only and does not imply endorsement by the U.S. Geological Survey. For additional information Copies of this report can be ..."
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Any use of trade, product, or firm names in this publication is for descriptive purposes only and does not imply endorsement by the U.S. Geological Survey. For additional information Copies of this report can be
Boundary layer on disc of finite radius in rotating fluid, Q J Mech Appl Math 17 (1964) 31925. BIOGRAPHICAL SKETCH The author was born in
 In
, 1977
"... The axisymmetric boundary layer on a fixed circular disc of radius a due to a rotating fluid has been examined numerically. A series expansion solution, starting at the outer edge of the disc, is found to match the similarity solution due to Bodewadt at r = \a. Numerical solutions, obtained by using ..."
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Cited by 3 (0 self)
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The axisymmetric boundary layer on a fixed circular disc of radius a due to a rotating fluid has been examined numerically. A series expansion solution, starting at the outer edge of the disc, is found to match the similarity solution due to Bodewadt at r = \a. Numerical solutions, obtained
AN ALGEBRAIC APPROACH TO THE RADIUS OF COMPARISON
"... ABSTRACT. The radius of comparison is an invariant for unital C∗algebras which extends the theory of covering dimension to noncommutative spaces. We extend its definition to general C∗algebras, and give an algebraic (as opposed to functionaltheoretic) reformulation. This yields new permanence pro ..."
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Cited by 14 (6 self)
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properties for the radius of comparison which strengthen its analogy with covering dimension for commutative spaces. We then give several applications of these results. New examples of C∗algebras with finite radius of comparison are given, and the question of when the Cuntz classes of finitely generated
Global existence for chemotaxis with finite sampling radius, preprint
, 2005
"... Abstract. Migrating cells measure the external environment through receptorbinding of specific chemicals at their outer cell membrane. In this paper this nonlocal sampling is incorporated into a chemotactic model. The existence of global bounded solutions of the nonlocal model is proven for bounde ..."
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Cited by 17 (2 self)
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Abstract. Migrating cells measure the external environment through receptorbinding of specific chemicals at their outer cell membrane. In this paper this nonlocal sampling is incorporated into a chemotactic model. The existence of global bounded solutions of the nonlocal model is proven for bounded and unbounded domains in any space dimension. According to a recent classification of spikes and plateaus, it is shown that steady state solutions cannot be of spiketype. Finally, numerical simulations support the theoretical results, illustrating the ability of the model to give rise to pattern formation. Some biologically relevant extensions of the model are also considered.
Results 1  10
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