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Let l=3 or 5. For any integer n>1, we produce an infinite set of triples
(L, E1, E2), where L is a number field with degree l
3(n&1) over Q and E1 and E2
are elliptic curves over L with distinct j-...
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 OLDROYD-B AND RELATED COMPLEX FLUID MODELS
REMARKS ON OLDROYD-B RELATED COMPLEX FLUID MODELS
2014/4/3
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in Rd, in a large functional setting (Cα ∩ L1). This is a stability result,solutions select an equ...
Remarks on the extension of the Ricci flow
Remarks the extension of the Ricci flow Differential Geometry
2012/6/19
We present two new conditions to extend the Ricci flow on a compact manifold over a finite time, which are improvements of some known extension theorems.
Some Remarks On Essentially Normal Submodules
Arveson conjecture essentially normal submodules Functional Analysis
2012/4/18
Given a *-homomorphism $\sigma: C(M)\to \mathscr{L}(\mathcal{H})$ on a Hilbert space $\mathcal{H}$ for a compact metric space $M$, a projection $P$ onto a subspace $\mathcal{P}$ in $\mathcal{H}$ is sa...
Some remarks on very-well-poised 8phi7 series
Very-well-poised basic hypergeometric series Askey-Wilson functions quadratic transformation formulas theta functions
2012/4/17
Nonpolynomial basic hypergeometric eigenfunctions of the second order Askey-Wilson difference operator are known to be expressible as very-well-poised 8phi7 series. In this paper we use this fact to d...
In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.
Abstract: Extending Furstenberg's ergodic theoretic proof for Szemer\'edi's theorem on arithmetic progressions, Furstenberg and Weiss (2003) proved the following qualitative result. For every d and k,...
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Lusin area operator Bergmanmetric ball Bergman spaces sampling sequences
2011/9/19
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
weighted Bergman spaces of analytic functions Complex Variables
2011/9/19
Abstract: We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane.We also prove such results in the context of bounded strictly pseudoconvex domai...
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 structural matrix rings and matrices with ideal entries
structural matrix ring incidence algebra pre-order quasiorder
2011/1/19
Associating to each pre-order on the indices 1, ..., n the corresponding structural matrix ring, or incidence algebra, embeds the lattice of n-element pre-orders into the lattice of n × n matrix rings...
Two remarks on rectangular mixed finite elements for elasticity
Two remarks rectangular finite elements elasticity
2011/1/19
The lowest order nonconforming rectangular element in three dimen-sions involves 54 degrees of freedom for the stress and 12 degrees of freedom for the displacement.
Some remarks about the derivation operator and generalized Stirling numbers
formal power series derivation operator Stirling num-bers
2011/2/22
Studying expressions of the form (f(x)D)p, where D = d dx is the derivation operator, goes back to Scherk’s Ph.D.
Remarks on the Hamiltonian for the Fermionic Unitary Gas model
Remarks Hamiltonian Fermionic Unitary Gas model
2011/1/17
We consider a quantum system in dimension three composed by a group of N iden-
tical fermions, with mass 1/2, interacting via zero-range interaction with a group of M identical fermions of a differen...