Research

Publications and Preprints

(7.) J. Albert and J. Arbunich, "Stability of bound states for Regularized Nonlinear Schrodinger Equations". SAPM 153(4) 2024

(6.) J. Arbunich, J. Faupin, F. Pusateri, and I.M. Sigal, "Maximal Speed of Quantum Propagation for the Hartree equation" Comm. PDE 48(4), 542-575  

(5.) J. Arbunich, F. Pusateri, I.M. Sigal, and A. Soffer "Maximal Speed of Quantum Propagation". Lett Math Phys. 111 (2021),  no. 62 .

(4.) J. Arbunich, I. Nenciu and C. Sparber. "Stability and instability properties of rotating Bose-Einstein condensates". Lett. Math. Phys 109  (2019)  pp.1415–1432

(3.) J. Arbunich, C. Klein and C. Sparber. "On a class of derivative nonlinear Schrödinger equations in two spatial dimensions". ESAIM Math. Model. Numer. Anal. 53 (2019), no. 5, 1477–1505.

(2.) P. Antonelli, J. Arbunich and C. Sparber. "Regularizing nonlinear Schrödinger equations through partial off-axis variations". SIAM J. Math. Anal. 51(2019), no. 1, pp. 110–130.

(1.)  J. Arbunich and C. Sparber. "Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures". J. Math. Phys. 59 (2018), no. 1, 011509, 19 pp.