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The Willmore flow of Hopf-tori in the 3-sphere
In this article, the author investigates flow lines of the classical Willmore flow, which start to move in a smooth parametrization of a Hopf-torus...
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On Quantitative Sphere Equivalence and Extrapolation Phenomenon
Let X, Y be Banach spaces. We prove that if their unit spheres S ( X ) and S ( Y ) are ( α, β )-Hölder homeomorphic for some α, β ∈ (0, 1]. Then the unit...
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On Submanifolds of the Unit Sphere with Vanishing Möbius Form and Parallel Para-Blaschke Tensor
The para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere
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Polar varieties and bipolar surfaces of minimal surfaces in the n-sphere
For a given minimal surface in the n -sphere, two ways to construct a minimal surface in the m -sphere are given. One way constructs a minimal...
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Geometric Singular Perturbation Approach to Poisson-Nernst-Planck Systems with Local Hard-Sphere Potential: Studies on Zero-Current Ionic Flows with Boundary Layers
We examine the dynamics of zero-current ionic flows via Poisson-Nernst-Planck systems with one cation, one anion and boundary layers. To account...
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Integrable Mechanical Billiards in Higher-Dimensional Space Forms
In this article, we consider mechanical billiard systems defined with Lagrange’s integrable extension of Euler’s two-center problems in the Euclidean...
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Dziobek Equilibrium Configurations on a Sphere
We investigate the n-body problem on a sphere with a general interaction potential that depends on the mutual distances. We focus on the equilibrium...
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Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere
Quasi-equilibrium approximation is a widely used closure approximation approach for model reduction with applications in complex fluids, materials...
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Magnetohydrodynamic Effects in Mixed Convection Viscoelastic Fluid Flow at Lower Stagnation Point on a Sliced Sphere
In this paper, mixed convection of viscoelastic fluid at the lower stagnation point on a magnetic sliced sphere is investigated. Dimensional...
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Convergence rates of RLT and Lasserre-type hierarchies for the generalized moment problem over the simplex and the sphere
We consider the generalized moment problem (GMP) over the simplex and the sphere. This is a rich setting and it contains NP-hard problems as special...
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Steady and Unsteady Solutions of Free Convective Micropolar Fluid Flow Near the Lower Stagnation Point of a Solid Sphere
An attempt has been done to study the dual solutions (steady and unsteady solutions) of free convective micropolar fluid flow near the stagnation...
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Two-body Problem on a Sphere in the Presence of a Uniform Magnetic Field
We investigate the motion of one and two charged non-relativistic particles on a sphere in the presence of a magnetic field of uniform strength. For...
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Critical Density Triplets for the Arrestment of a Sphere Falling in a Sharply Stratified Fluid
We study the motion of a rigid sphere falling in a two-layer stratified fluid under the action of gravity in the potential flow regime. Experiments...
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SPHARMA approximations for stationary functional time series on the sphere
In this paper, we focus on isotropic and stationary sphere-cross-time random fields. We first introduce the class of spherical functional...
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Examples and Properties of Rational Sphere Maps
We recall the definition and then amplify some of the basic issues. Allowing the circle and the torus to act on the sphere yields some fundamental...
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