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Topological Conjugacy of the Simplest Nonsingular Three-Dimensional Flows
The simplest nonsingular flows on closed orientable 3-manifolds are studied. We establish that each class of topological equivalence of the simplest...
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Nonsingular Poisson Suspensions
The classical Poisson functor associates to every infinite measure preserving dynamical system ( X, μ, T ) a probability preserving dynamical system ( X *...
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Harmonic Spinors in the Ricci Flow
This paper provides a new definition of the Ricci flow on closed manifolds admitting harmonic spinors. It is shown that Perelman’s Ricci flow entropy...
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Integrability of a Geodesic Flow on the Intersection of Several Confocal Quadrics
AbstractThe classical Jacobi–Chasles theorem states that tangent lines drawn at all points of a geodesic curve on a quadric in n -dimensional...
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Nonsingular Morse–Smale Flows with Three Periodic Orbits on Orientable \(3\)-Manifolds
AbstractThe topological equivalence of nonsingular Morse–Smale flows under assumptions of various generality has been considered in many works...
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Quasilinear Coupled System in the Frame of Nonsingular ABC-Derivatives with p-Laplacian Operator at Resonance
We investigate the existence of solutions for coupled systems of fractional p -Laplacian quasilinear boundary value problems at resonance given by the...
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Nonsingular Rational Solutions to Integrable Models
In the literature, there have been considerable interests in the study of nonsingular rational solutions for nonlinear integrable models. These...
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Diameter estimates for long-time solutions of the Kähler–Ricci flow
It is well known that the Kähler–Ricci flow on a Kähler manifold X admits a long-time solution if and only if X is a minimal model, i.e., the...
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Fast solution of incompressible flow problems with two-level pressure approximation
This paper develops efficient preconditioned iterative solvers for incompressible flow problems discretised by an enriched Taylor–Hood mixed...
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On the mean curvature flow solitons in Riemannian spaces endowed with a Killing vector field
We study the uniqueness and nonexistence of mean curvature flow solitons (MCFS) with respect to a nowhere zero Killing vector field K globally...
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Equilibrium Flow Assignment in a Network of Homogeneous Goods
AbstractThis paper is devoted to the problem of analyzing the emergence of a nonzero product flow between suppliers and consumers of a certain...
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Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel
At first, we construct a connection between the Atangana–Baleanu and the Riemann–Liouville fractional integrals of a function with respect to a...
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Twist dynamics of vortex interaction in a time-periodic deformation flow
In this paper, we consider a system of vortex interaction in a time-periodic deformation flow. By introducing some new variables, we transform the...
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Asymptotic Stability for Singular Diffusions
In the present chapter, asymptotic stability conditions for diffusions with linear drift and Lipschitz diffusion coefficients are presented. Although...
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Information Flow in Event-Based Stabilization of Cyber-Physical Systems
The information flow required for remote stabilization of dynamical systems has been investigated extensively in the last two decades, and basic...
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Boundary Element Solution of Potential Flow Problems
This chapter presents the BEM and DRBEM methods on the general Poisson’s type equation with the Dirichlet and/or Neumann type boundary conditions....