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Controllability of periodic linear systems, the Poincaré sphere, and quasi-affine systems
For periodic linear control systems with bounded control range, an autonomized system is introduced by adding the phase to the state of the system....
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Reconstruction of the Thermal Load of a Functionally Graded Hollow Sphere by Surface Displacements
We formulate and solve a problem of reconstruction of the unknown time-dependent temperature distribution on one boundary surface of a functionally...
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Connected Sums of Sphere Products and Minimally Non-Golod Complexes
We show that if the moment-angle complex \(\mathcal {Z}_K\)...
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Approximation Properties of the Double Fourier Sphere Method
We investigate analytic properties of the double Fourier sphere (DFS) method, which transforms a function defined on the two-dimensional sphere to a...
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Free-boundary problems for holomorphic curves in the 6-sphere
We remark on two free-boundary problems for holomorphic curves in nearly-Kähler 6-manifolds. First, we observe that a holomorphic curve in a geodesic...
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Numerical approximation and simulation of the stochastic wave equation on the sphere
Solutions to the stochastic wave equation on the unit sphere are approximated by spectral methods. Strong, weak, and almost sure convergence rates...
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A convergence framework for optimal transport on the sphere
We consider a PDE approach to numerically solving the optimal transportation problem on the sphere. We focus on both the traditional squared geodesic...
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On the behavior of Orlicz–Sobolev map**s with branching on the unit sphere
We study the map**s of the Orlicz–Sobolev classes with a branching defined in the unit ball of the Euclidean space. We have obtained estimates for...
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Mean Curvature Flow and Low Energy Solutions of the Parabolic Allen-Cahn Equation on the Three-Sphere
In this article, we study eternal solutions to the Allen-Cahn equation in the 3-sphere, in view of the connection between the gradient flow of the...
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On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
In this paper, we give pointwise estimates of a Voronoï-based finite volume approximation of the Laplace-Beltrami operator on Voronoï-Delaunay...
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Recent Advances in Sphere Packing Problems
We consider a general (constrained) sphere packing problem which is to pack nonoverlap** spheres (balls) with the maximum volume into a convex set....
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The Gradient Projection Method for a Supporting Function on the Unit Sphere and Its Applications
AbstractWe consider minimization of the supporting function of a convex compact set on the unit sphere. In essence, this is the problem of projecting...
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Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere
We present a method of solving partial differential equations on the n -dimensional unit sphere using methods based on the continuous wavelet...
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Closed 1/2-Elasticae in the 2-Sphere
We study critical trajectories in the sphere for the 1/2-Bernoulli’s bending functional with length constraint. For every Lagrange multiplier...
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Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere
AbstractWe prove the existence of a global attractor of a regularized Euler–Bardina system with dissipation on the two-dimensional sphere and in...