1 citations · 1 across the 1 of their papers we have counts for
5 papers
Linear Dispersive Shocks
David Smith, Thomas Trogdon, Vishal Vasan
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 mod…
Provable bounds for the Korteweg-de Vries reduction in multi-component Nonlinear Schrodinger Equation
Swetlana Swarup, Vishal Vasan, Manas Kulkarni
We study the dynamics of multi-component Bose gas described by the Vector Nonlinear Schrödinger Equation (VNLS), aka the Vector Gross--Pitaevskii Equation (VGPE) . Through a Madelu…
Spatio-temporal Patterns of Indian Monsoon Rainfall
Adway Mitra, Amit Apte, Rama Govindarajan +2
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 p…
A Discrete View of the Indian Monsoon to Identify Spatial Patterns of Rainfall
Adway Mitra, Amit Apte, Rama Govindarajan +2
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 represent…
Fokas's Uniform Transform Method for linear systems
Bernard Deconinck, Qi Guo, Eli Shlizerman +1
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…