Research

Publications and Preprints

(6.) J. Arbunich, J. Faupin, F. Pusateri, and I.M. Sigal, "Maximal Speed of Quantum Propagation for the Hartree equation" . In preparation.

(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.