Results 41 to 50 of about 1,313,453 (353)
Randomized resolvent analysis [PDF]
Phys. Rev. Fluids 5, 033902 (2020), 2019 Performing global resolvent analysis for high-Reynolds-number turbulent flow calls for the handling of a large discrete operator. Even though such large operator is required in the analysis, most applications of resolvent analysis extracts only a few dominant resolvent response and forcing modes. Here, we consider the use of randomized numerical linear
arxiv +1 more source
Resolvent operator of singular Dirac system with transmission conditions
Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2019 This paper is concerned with the resolvent operator of one dimensional singular Dirac operator with transmission conditions. We study the Titchmarsh-Weyl function of this problem.
B. Allahverdiev, H. Tuna
semanticscholar +1 more source
Spectral inequality and resolvent estimate for the bi-Laplace operator [PDF]
Journal of the European Mathematical Society (Print), 2015 On a compact Riemannian manifold with boundary, we prove a spectral inequality for the bi-Laplace operator in the case of so-called "clamped" boundary conditions , that is, homogeneous Dirichlet and Neumann conditions simultaneously.
J. Rousseau, Luc Robbiano
semanticscholar +1 more source
Self-similar mechanisms in wall turbulence studied using resolvent analysis [PDF]
Journal of Fluid Mechanics, 2021 Self-similarity of wall-attached coherent structures in a turbulent channel at $Re_\tau =543$ is explored by means of resolvent analysis. In this modelling framework, coherent structures are understood to arise as a response of the linearised mean-flow ...
U. Karban +4 more
semanticscholar +1 more source
Efficient harmonic resolvent analysis via time-stepping [PDF]
arXiv, 2023 We present an extension of the RSVD-$\Delta t$ algorithm initially developed for resolvent analysis of statistically stationary flows to handle harmonic resolvent analysis of time-periodic flows. The harmonic resolvent operator, as proposed by \citet{Padovanetal20}, characterizes the linearized dynamics of time-periodic flows in the frequency domain ...
arxiv
On operators with rational resolvent [PDF]
Proceedings of the American Mathematical Society, 1972 It is shown that a bounded linear operator T on a complex Banach space into itself has a rational resolvent if and only if every bounded linear operator which commutes with every bounded linear operator that commutes with T can be expressed as a polynomial in T.
openaire +2 more sources
H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions
Abstract and Applied Analysis, 2011 The purpose of this paper is to introduce a new H(⋅,⋅)-cocoercive operator, which generalizes many existing monotone operators. The resolvent operator associated with H(⋅,⋅)-cocoercive operator is defined, and its Lipschitz continuity is presented.
Rais Ahmad +3 more
doaj +1 more source
Fractional resolvent operator with α ∈ (0,1) and applications
Fractional Differential Calculus, 2019 . In this paper we study an analytic resolvent family for abstract fractional integro- differential system using the perturbation theory of sectorial operators.
J. P. C. D. Santos
semanticscholar +1 more source
Approximation of point interactions by geometric perturbations in two-dimensional domains
Bulletin of Mathematical Sciences, 2023 In this paper, we present a new type of approximation of a second-order elliptic operator in a planar domain with a point interaction. It is of a geometric nature that the approximating family consists of operators with the same symbol and regular ...
D. I. Borisov, P. Exner
doaj +1 more source
Resolvent conditions and growth of powers of operators [PDF]
Journal of Mathematical Analysis and Applications, 2020 Added references [35] and [38] and updated some remarks.
Cohen, Guy +3 more
openaire +4 more sources