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In this paper we investigate the use of Richardson extrapolation to estimate the convergence rates for numerical solutions to advection problems involving discontinuities. We use modified equation analysis to describe the expectation of the…

Numerical Analysis · Mathematics 2013-02-05 J. W. Banks , T. D. Aslam

We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its…

Analysis of PDEs · Mathematics 2021-05-25 Davide Buoso , James B. Kennedy

It is possible to construct a double indexed process with sample paths a surface of a family of subordinators obtained by subordination. We study here a branch of this subordination process. This opens martingale methods on symbolic…

Probability · Mathematics 2009-02-13 Nicolas Bouleau

We study the resonant dynamics in a simple one degree of freedom, time dependent Hamiltonian model describing spin-orbit interactions. The equations of motion admit periodic solutions associated with resonant motions, the most important…

Earth and Planetary Astrophysics · Physics 2016-07-29 Ioannis Gkolias , Alessandra Celletti , Christos Efthymiopoulos , Giuseppe Pucacco

We systematically analyze the nonlinear partial differential equation that determines the behaviour of a bounded radiating spherical mass in general relativity. Four categories of solution are possible. These are identified in terms of…

General Relativity and Quantum Cosmology · Physics 2017-01-04 S. D. Maharaj , A. K. Tiwari , R. Mohanlal , R. Narain

Using the Newtonian approximation, we study rotating compact bosonic objects. The equations which describe stationary states with non-zero angular momentum are constructed and some numerical results are presented as examples. Limits on the…

Astrophysics · Physics 2009-10-28 Vanda Silveira , Claudio M. G. de Sousa

Single molecule rotational correlation functions are analyzed for several reorientation geometries. Even for the simplest model of isotropic rotational diffusion our findings predict non-exponential correlation functions to be observed by…

Other Condensed Matter · Physics 2016-08-16 G. Hinze , G. Diezemann , Th. Basché

We study the pointwise regularity of the Multifractional Brownian Motion and in particular, we get the existence of slow points. It shows that a non self-similar process can still enjoy this property. We also consider various extensions of…

Probability · Mathematics 2023-02-14 Céline Esser , Laurent Loosveldt

This article focuses on the Bohr radius problem for the derivatives of analytic functions, along with a technique of establishing Bohr inequalities in classical and generalized settings.

Complex Variables · Mathematics 2019-11-18 Bappaditya Bhowmik , Nilanjan Das

Let $M$ be a compact connected smooth manifold with smooth boundary, and let $\rho$ be a positive continuous function on the boundary which is served as the Robin parameter. In this paper, we study three problems concerning the prescription…

Spectral Theory · Mathematics 2025-07-04 Xiang He , Zuoqin Wang

I will give an overview on fragmentation functions with particular emphasis on spin-dependence. A straightforward classification scheme permits to label all independent fragmentation functions for a given physical situation in an…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rainer Jakob

By considering the polynomial function $\phi_{car}(z)=1+z+z^2/2,$ we define the class $\Scar$ consisting of normalized analytic functions $f$ such that $zf'/f$ is subordinate to $\phi_{car}$ in the unit disk. The inclusion relations and…

Complex Variables · Mathematics 2020-12-29 Prachi Gupta , Sumit Nagpal , V. Ravichandran

In the first two sections of this paper we provide a brief account of the Cayley-Dickson algebras and prove that the radius on these algebras is given by the Euclidean norm. With this observation we resort to three related topics: a variant…

Rings and Algebras · Mathematics 2015-05-08 Moshe Goldberg , Thomas J. Laffey

The problem of monotone smoothing splines with bounds is formulated as a constrained minimization problem of the calculus of variations. Existence and uniqueness of solutions of this problem is proved, as well as the equivalence of it to a…

Optimization and Control · Mathematics 2020-01-22 Sara Maad Sasane

We survey known results about the complexity of surjective homomorphism problems, studied in the context of related problems in the literature such as list homomorphism, retraction and compaction. In comparison with these problems,…

Computational Complexity · Computer Science 2011-09-27 Manuel Bodirsky , Jan Kara , Barnaby Martin

In this paper, we give subordination functions for free additive and free multiplicative deconvolutions in some domain of the complex half-plane, under the condition that the distributions admit moments, respectively, of second order for…

Operator Algebras · Mathematics 2018-07-18 Octavio Arizmendi , Pierre Tarrago , Carlos Vargas

We present a convenient analytical parametrization of the deuteron wave function calculated within dispersion approach as a discrete superposition of Yukawa-type functions, in both configuration and momentum spaces.

Nuclear Theory · Physics 2009-11-11 A. F. Krutov , V. M. Muzafarov , V. E. Troitsky

The problem of spin precession in a time-dependent magnetic field is considered in the adiabatic approximation where the field direction or the angular velocity of its rotation is changing slowly. The precession angles are given by…

Quantum Physics · Physics 2016-09-08 M. S. Marinov , Eugene Strahov

In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prove its solvability and the compactness of…

Differential Geometry · Mathematics 2010-11-01 Yan He , Weimin Sheng

For $0\leq \alpha <1$, the sharp radii of starlikeness and convexity of order $\alpha$ for functions of the form $f(z)=z+a_2z^2+a_3z^3+...$ whose Taylor coefficients $a_n$ satisfy the conditions $|a_2|=2b$, $0\leq b\leq 1$, and $|a_n|\leq n…

Complex Variables · Mathematics 2011-08-30 V. Ravichandran