Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Vasan, Vishal"'
A standard approach to solve ordinary differential equations, when they describe dynamical systems, is to adopt a Runge-Kutta or related scheme. Such schemes, however, are not applicable to the large class of equations which do not constitute dynamic
Externí odkaz:
http://arxiv.org/abs/2308.09714
In this paper, we consider a problem inspired by the real-world need to identify the topographical features of ocean basins. Specifically we consider the problem of estimating the bottom impermeable boundary to an inviscid, incompressible, irrotation
Externí odkaz:
http://arxiv.org/abs/2106.00964
We present a general scheme for constructing robust excitations (soliton-like) in non-integrable multicomponent systems. By robust, we mean localised excitations that propagate with almost constant velocity and which interact cleanly with little to n
Externí odkaz:
http://arxiv.org/abs/2101.01651
Publikováno v:
International Journal of Climatology, 2020
The Indian monsoon, a multi-variable process causing heavy rains during June-September every year, is very heterogeneous in space and time. We study the relationship between rainfall and Outgoing Longwave Radiation (OLR, convective cloud cover) for m
Externí odkaz:
http://arxiv.org/abs/2008.08251
We present a linear dispersive partial differential equation which manifests a number of qualitative features of dispersive shocks, typically thought to occur only in nonlinear models. The model captures much of the short time phenomenon but deviates
Externí odkaz:
http://arxiv.org/abs/1908.08716
Publikováno v:
J. Phys. A: Math. Theor. 53 (2020) 135206
We study the dynamics of multi-component Bose gas described by the Vector Nonlinear Schr\"{o}dinger Equation (VNLS), aka the Vector Gross--Pitaevskii Equation (VGPE) . Through a Madelung transformation, the VNLS can be reduced to coupled hydrodynamic
Externí odkaz:
http://arxiv.org/abs/1908.02248
Publikováno v:
Journal of Fluid Mechanics, 868, 428 - 460, 2019
The Maxey-Riley equation has been extensively used by the fluid dynamics community to study the dynamics of small inertial particles in fluid flow. However, most often, the Basset history force in this equation is neglected. Including the Basset forc
Externí odkaz:
http://arxiv.org/abs/1808.08769
Publikováno v:
Dynamics and Statistics of the Climate System, Oxford University Press, 3, 1, 2019
The primary objective of this paper is to analyze a set of canonical spatial patterns that approximate the daily rainfall across the Indian region, as identified in the companion paper where we developed a discrete representation of the Indian summer
Externí odkaz:
http://arxiv.org/abs/1805.00420
Publikováno v:
Dynamics and Statistics of the Climate System, Oxford University Press, 2018
We propose a representation of the Indian summer monsoon rainfall in terms of a probabilistic model based on a Markov Random Field, consisting of discrete state variables representing low and high rainfall at grid-scale and daily rainfall patterns ac
Externí odkaz:
http://arxiv.org/abs/1805.00414
We demonstrate the use of the Unified Transform Method or Method of Fokas for boundary value problems for systems of constant-coefficient linear partial differential equations. We discuss how the apparent branch singularities typically appearing in t
Externí odkaz:
http://arxiv.org/abs/1705.00358