212 citations · 848 across the 74 of their papers we have counts for
6 papers · 1 filter
The lifetime of shape oscillations of a bubble in an unbounded, inviscid and compressible fluid with surface tension
Ovidiu Costin, Saleh Tanveer, Michael I. Weinstein
General perturbations of a spherical gas bubble in a compressible and inviscid fluid with surface tension were proved in Shapiro and Weinstein (2011), in the linearized approximati…
Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of
O. Costin, M. Huang, S. Tanveer
We show that the tritronquée solution of the Painlevé equation , which is analytic for large with is pole-free in a region co…
Decay estimates for One-dimensional wave equations with inverse power potentials
O. Costin, M. Huang
We study the one-dimensional wave equation with an inverse power potential that equals for large where is any positive integer greater than or equal to 3.…
Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
Ovidiu Costin, Giambattista Giacomin
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to b…
A direct method to find Stokes multipliers in closed form for P1 and more general integrable systems
Ovidiu Costin, Rodica Costin, Min Huang
We introduce a new rigorous method, based on Borel summability and asymptotic constants of motion generalizing \cite{invent} and \cite{ode1}, to analyze singular behavior of nonlin…
Uniqueness of large solutions
Ovidiu Costin, Louis Dupaigne, Olivier Goubet
Given a nondecreasing nonlinearity , we prove uniqueness of large solutions in the following two cases: the domain is the ball or the domain has nonnegative mean curvature and t…