23 citations · 24 across the 7 of their papers we have counts for
8 papers
Two step micro-rheological behavior in a viscoelastic fluid
Rohit Jain, Félix Ginot, Johannes Berner +2
We perform micro-rheological experiments with a colloidal bead driven through a viscoelastic worm-like micellar fluid and observe two distinctive shear thinning regimes, each of th…
Regularity results for a penalized boundary obstacle problem
Donatella Danielli, Rohit Jain
In this paper we are concerned with a two-penalty boundary obstacle problem of interest in thermics, fluid dynamics and electricity. Specifically, we prove existence, uniqueness an…
The Calabi Conjecture
Rohit Jain, Jason Jo
In this essay we aim to explore the Geometric aspects of the Calabi Conjecture and highlight the techniques of nonlinear Elliptic PDE theory used by S.T. Yau [SY] in obtaining a so…
Supersymmetric Schrödinger Operators with Applications to Morse Theory
Rohit Jain
In 1981 Edward Witten proved a remarkable result where he derived the classical Morse Inequalities using ideas from Supersymmetric (SUSY) Quantum Mechanics. In this regard, one has…
Order of Magnitude of Fourier Coefficients for Almost Periodic Functions
Alec Train, Rohit Jain, Will Carlson
We provide an introduction of some basic facts of uniformly almost periodic functions, such as Fourier series representations. A result is then proved about Fourier coefficients wh…
The Fully Nonlinear Stochastic Impulse Control Problem
Rohit Jain
In this paper, motivated by a problem in stochastic impulse control theory, we aim to study solutions to a free boundary problem of obstacle-type. We obtain sharp estimates for the…
Uniform estimates for the Penalized Boundary Obstacle Problem
Rohit Jain
In this paper, motivated by a problem arising in random homogenization theory, we initiate the study of uniform estimates for the fractional penalized obstacle problem, $ Δ^{s}u^ε…
The Classical Stochastic Impulse Control Problem
Rohit Jain
In this paper we study regularity estimates for the solution to an obstacle problem arising in stochastic impulse control theory. We prove using elementary methods the known sharp…