212 citations · 848 across the 74 of their papers we have counts for
15 papers · 1 filter
Mode stability of self-similar wave maps in higher dimensions
Ovidiu Costin, Roland Donninger, Irfan Glogić
We consider co-rotational wave maps from Minkowski space in dimensions to the -sphere. Recently, Bizoń and Biernat found explicit self-similar solutions for each dimension…
On the stability of self-similar solutions to nonlinear wave equations
Ovidiu Costin, Roland Donninger, Irfan Glogić +1
We consider an explicit self-similar solution to an energy-supercritical Yang-Mills equation and prove its mode stability. Based on earlier work by one of the authors, we obtain a…
A Proof for the Mode Stability of a Self-similar Wave Map
Ovidiu Costin, Roland Donninger, Xiaoyue Xia
We study the fundamental self-similar solution to the SU(2) sigma model, found by Shatah and Turok-Spergel. We give a rigorous proof for its mode stability. Based on earlier result…
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…
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.…
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…