Nonperturbative quasilinear approach to the shear dynamo problem
We study large-scale dynamo action due to turbulence in the presence of a linear shear flow. Our treatment is quasilinear and equivalent to the standard `first order smoothing approximation'. However it is non perturbative in the shear strength. We first
Sridhar, S., Subramanian, Kandaswamy
core +1 more source
Coupling Enhancement and Symmetrization in Dissipative Optomechanical Systems
A practical circuit‐QED scheme with dual coherent laser driving and enhanced cross‐Kerr nonlinearity is presented to achieve ultrastrong optomechanical coupling in the few‐photon regime. A symmetric optomechanical dynamical framework is further established to enable a systematic classification of different coupling regimes.
Cheng Shang, H. Z. Shen
wiley +1 more source
Optimal dividends for a NatCat insurer in the presence of a climate tipping point
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher +2 more
wiley +1 more source
Operational Rules for a Mixed Operator of the Erdélyi-Kober Type [PDF]
2000 Mathematics Subject Classification: 26A33 (main), 44A40, 44A35, 33E30, 45J05, 45D05In the paper, the machinery of the Mellin integral transform is applied to deduce and prove some operational relations for a general operator of the Erdélyi-Kober ...
Luchko, Yury
core
Peridynamics with a Cube‐Shaped Neighborhood
ABSTRACT This paper investigates the effects of cube‐shaped neighborhoods in peridynamic theory as an alternative to the traditional spherical neighborhoods. We examine how different neighborhood geometries influence the behavior of various peridynamic formulations, including bond‐based models, state‐based formulations, and correspondence methods.
Kai Partmann +3 more
wiley +1 more source
Modification of the Differential Transform Method With Search Direction Along the Spatial Axis
This paper presents a modification of the Differential Transform Method (ModDTM) formulated so that the search direction of the solution is along a spatial axis (x). It is shown that the method is applicable to a wide spectrum of 1+1 partial differential
Helena Nayar, Patrick Azere Phiri
doaj +1 more source
Symbolic algorithm to solve initial value problems for partial differential equations
In this paper, we present a new symbolic algorithm for finding the Green's function of a given initial value problem for linear partial differential equations of second order with constant coefficients.
Srinivasarao Thota, Shiv Datt Kumar
doaj
Finite Difference Method for Solving Partial Integro-Differential Equations
Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
doaj
Cubic B-splines collocation method for a class of partial integro-differential equation
In this paper, a numerical method is proposed to estimate the solution of initial-boundary value problems for a class of partial integro-differential equations.
M. Gholamian, J. Saberi-Nadjafi
doaj +1 more source
Solutions in several types of periodicity for partial neutral integro-differential equation
In this article we study the existence of mild solutions in several types of periodicity for partial neutral integro-differential equations with unbounded delays.
Jose Paulo C. dos Santos +1 more
doaj

