4 papers · 1 filter
Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle
Sonae Hadama, Andrew Rout
In this paper, we introduce a renormalisation procedure for the density associated with the system of nonlinear Schrödinger equations (NLSS) on a circle. We show that this renorma…
Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity
Jinyeop Lee, Andrew Rout
We study the solution theory of the nonlinear Schrödinger equation with a concentrated nonlinearity on the torus. In particular, we establish existence and uniqueness of global en…
The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on
Ryan L. Acosta Babb, Andrew Rout
In this article, we consider Hartree equations generalised to order nonlinearities. These equations arise in the study of the mean-field limits of Bose gases with -body i…
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations
Zied Ammari, Andrew Rout, Vedran Sohinger
In this paper, we are concerned with the study of statistical equilibria for focusing nonlinear Schrödinger and Hartree equations on the d-dimensional torus when d=1,2,3. Due to t…