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Direct Limit of Shift-Invariant Measures on a Hilbert Space
AbstractA translationally invariant measure on a Hilbert space is constructed such that this measure is invariant with respect to a group of shifts...
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Direct limits in categories of normed vector lattices and Banach lattices
After collecting a number of results on interval and almost interval preserving linear maps and vector lattice homomorphisms, we show that direct...
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Hydrostatic Limit of the Navier-Stokes-Alpha Model
In this paper we study the hydrostatic limit of the Navier-Stokes-alpha model in a very thin strip domain. We derive some Prandtl-type limit...
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The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations
This paper deals with the problem of limit cycles for the whirling pendulum equation ẋ = y, ẏ = sin x (cos x − r ) under piecewise smooth perturbations...
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Limit Cycle Bifurcations Near Nonsmooth Homoclinic Cycle in Discontinuous Systems
The main aim of this paper is to study the limit cycle bifurcations near the homoclinic cycle in the discontinuous systems. Based on the impoved...
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Semiclassical Analysis in the Limit Circle Case
We consider second order differential equations with real coefficients that are in the limit circle case at infinity. Using the semiclassical Ansatz,...
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Incompressible limit of ideal magnetohydrodynamics in a domain with boundaries
We study the incompressible limit of classical solutions to compressible ideal magneto-hydrodynamics in a domain with a flat boundary. The boundary...
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High Order Asymptotic Preserving and Classical Semi-implicit RK Schemes for the Euler–Poisson System in the Quasineutral Limit
In this paper, the design and analysis of high order accurate IMEX finite volume schemes for the compressible Euler–Poisson (EP) equations in the...
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Development of DIRECT-Type Algorithms
The deterministic derivative-free DIRECT-type algorithms have gained significant recognition in the optimization community due to their simplicity...
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ON THE UNIVERSAL COEFFICIENT FORMULA AND DERIVED LIMIT FUNCTOR
It is known that homology and inverse limit functors do not commute. In the paper, we consider this very problem and find its application for various...
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Limit Cycles in Discontinuous Planar Piecewise Differential Systems with Multiple Nonlinear Switching Curves
In this paper, we investigate the maximum number of limit cycles that can bifurcate from the periodic annulus of the linear center for discontinuous...
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Renewed Limit Theorems for Noncritical Galton–Watson Branching Systems
The paper discusses the Galton–Watson stochastic branching system. We deal only with the noncritical case. Our task in the work is to improve our...
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On the high friction limit for the complete Euler system
We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation...
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Anomalous diffusion limit for a kinetic equation with a thermostatted interface
We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-killing condition at the interface. Both the...
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Inexact direct-search methods for bilevel optimization problems
In this work, we introduce new direct-search schemes for the solution of bilevel optimization (BO) problems. Our methods rely on a fixed accuracy...
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The Adiabatic Limit of Fu—Yau Equations
In this paper, we consider the adiabatic limit of Fu—Yau equations on a product of two Calabi—Yau manifolds. We prove that the adiabatic limit of...
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The Bloch–Torrey Limit of a Kinetic Transport System
This work is devoted to highlighting the diffusion of some models of Kinetic–Bloch system by an asymptotic analysis. The limit of the kinetic...