Results 31 to 40 of about 44,432 (315)
On non-normality and classification of amplification mechanisms in stability and resolvent analysis [PDF]
We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile.
Dawson, Scott T. M. +3 more
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On the generalized spectrum of bounded linear operators in Banach spaces
Utilizing the stability characterizations of generalized inverses, we investigate the generalized resolvent of linear operators in Banach spaces. We first prove that the local analyticity of the generalized resolvent is equivalent to the continuity and ...
Jue Feng , Xiaoli Li, Kaicheng Fu
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Resolvability vs. almost resolvability
A space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains kappa dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets of X). Answering a problem raised by Juhasz, Soukup, and Szentmiklossy, and improving a consistency result of Comfort and Hu, we prove, in ZFC, that for every infinite ...
Juhász, István +2 more
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Unique solvability of boundary value problem for functional differential equations with involution
In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign.
K.Zh. Nazarova, K.I. Usmanov
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On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows
The ability of linear stochastic response analysis to estimate coherent motions is investigated in turbulent channel flow at friction Reynolds number Re$_\tau$ = 1007.
Cossu, Carlo +3 more
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Separability of the third-order differential operator given on the whole plane
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity.
A.O. Suleimbekova
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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We say that a topological group $G$ is partially box $ $-resolvable if there exist a dense subset $B$ of $G$ and a subset $A $ of $G$, $|A|= $ such that the subsets $\{ aB: a\in A\}$ are pairwise disjoint. If $G=AB$ then $G$ is called box $ $-resolvable. We prove two theorems. If a topological group $G$ contains an injective convergent sequence then
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ON RESOLVING SINGULARITIES [PDF]
Let V be an irreducible affine algebraic variety over a field k of characteristic zero, and let (f_0,...,f_m) be a sequence of elements of the coordinate ring. There is probably no elementary condition on the f_i and their derivatives which determines whether the blowup of V along (f_0,...,f_m) is nonsingular. The result is that there indeed is such an
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A study of resolvent set for a class of band operators with matrix elements
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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