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We study the long time dynamics of a Smoluchowski equation arising in the modeling of nematic liquid crystalline polymers. We prove uniform bounds for the long
time average of gradients of the distri...
Remarks on modular representations of finite groups of Lie type in non-defining characteristic
Finite groups of Lie type unipotent representations decomposition numbers
2011/8/23
Abstract: Let $G$ be a finite group of Lie type and $\ell$ be a prime which is not equal to the defining characteristic of $G$. In this note we discuss some open problems concerning the $\ell$-modular...
Some remarks on stronger versions of the Boundary Problem for Banach spaces
Some remarks the Boundary Problem for Banach spaces
2010/11/17
Let $X$ be a real Banach space. A subset $B$ of the dual unit sphere of $X$ is said to be a boundary for $X$, if every element of $X$ attains its norm on some functional in $B$. The well-known Bounda...
Further remarks on mixed fractional Brownian motion
Fractional Brownian Motion Fractional Calculus
2010/9/15
We study linear combinations of independent fractional Brownian motions and generalize several recent results from [10] and [17]. As a first new result we calculate explicitly the Hausdorff dimension ...
Remarks on self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas
self-similar solutions Navier-Stokes equations viscous polytropic gas
2010/9/13
This paper is concerned with the self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas. Our results show that there exist neither forward nor backward...
In this note we give a necessary and sufficient condition in order that an inequality established by A. Mc D. Mercer to be true for every convex sequence.
Some Remarks on Lower Bounds of Chebyshev's Type for Half-lines
Half-lines Lower Bounds of Chebyshev's Type Remarks
2008/6/26
Some Remarks on Lower Bounds of Chebyshev's Type for Half-lines.
Two Remarks on the Stability of Generalized Hemivariational Inequalities
Generalized hemivariational inequalities Clarke's gradient Perturbation Epi-convergence Stability te of convergence Equilibrium problems von kàrmàn plates
2008/6/26
The present paper is devoted to the stability analysis of a general class of hemivariational inequalities. Essentially, we present two approaches for this class of problems. First, using a general ver...
Some remarks on minimal spline interpolation
Hermite interpolation spline functions B-splines
2010/9/15
Interpolation of 2n+k data by spline spaces of order k with n knots is studied. Some conditions on existence of interpolating splines are given. Numerical methods for constructing a solution are sugge...
Given an invertible sheaf, does it come from a Cartier divisor? This might fail in presence of embedded components. I give some examples and characterize those invertible sheaves that allow a Cartier...