1 citations · 1 across the 7 of their papers we have counts for
9 papers
Log-Sobolev inequality for the sine-Gordon model in the subcritical regime
Alexandru F. Radu
We prove a logarithmic Sobolev inequality for the massive two-dimensional sine-Gordon model throughout the subcritical range . For fixed mass, volume and arbitrary real cou…
Rigidity of stationary black holes with small ADM angular momentum
Alexandru F. Radu
We prove global rigidity of smooth asymptotically flat stationary vacuum black holes with sufficiently small ADM angular momentum, under global regularity, bifurcation, and maximal…
On rigidity of stationary black holes under a nontrapping assumption
Alexandru F. Radu
We prove that a smooth, regular, asymptotically flat stationary vacuum black hole has a nonextremal Kerr exterior if no null geodesic orthogonal to its stationary Killing field is…
Non-unique singular solutions for KP and modified KP equations on and
Alexandru F. Radu
We construct infinitely many weak singular solutions with zero initial data and compact time support for third- and fifth-order KP-I, KP-II, and their modified counterparts on $\ma…
Non-unique solutions to the periodic gKdV equation
Nicholas Gismondi, Kunyi, Ma +2
In this paper we utilize a convex integration scheme to construct non-trivial weak solutions to the -generalized KdV equation which lie in $$ \bigcap_{ε> 0} C_t^0 L_x^{k-ε}([0,1…
Uniqueness in Lorentz Spaces of the 2d Navier-Stokes equation
Alexandru F. Radu
We study uniqueness of mild solutions to the two--dimensional incompressible Navier-Stokes equations on the torus in borderline spatial classes. While Lorentz-space methods yield u…
Intermittent solutions of the stationary 2D surface quasi-geostrophic equation
Nicholas Gismondi, Alexandru F. Radu
In this paper we construct non-trivial solutions to the stationary dissipative surface quasi-geostrophic equation on the two dimensional torus which lie strictly below the critical…
On the monomial algebra associated to the monomial characters of a finite group
Mircea Cimpoeas, Alexandru F. Radu
Given a finite group , we study the monomial algebra , generated by the monomial characters of . In particular, we note that the integral closure of is contained i…
On supercharacter theoretic generalizations of monomial groups and Artin's conjecture
Mircea Cimpoeas, Alexandru F. Radu
We extend the notions of quasi-monomial groups and almost monomial groups, in the framework of supercharacter theories, and we study their connection with Artin's conjecture regard…