Zobrazeno 1 - 10
of 420
pro vyhledávání: '"Sigal, I."'
Publikováno v:
Ann. Inst. Henri Poincar\'e C 37 (2020), no. 1, 79--103
We study the Ginzburg-Landau equations on Riemann surfaces of arbitrary genus. In particular: - we construct explicitly the (local moduli space of gauge-equivalent) solutions in a neighbourhood of the constant curvature ones; - classify holomorphic s
Externí odkaz:
http://arxiv.org/abs/1704.03422
Publikováno v:
St. Petersburg Mathematical Journal, v. 25,547-574 (2014)
We investigate the (reduced) Keller-Segel equations modeling chemotaxis of bio-organisms. We present a formal derivation and partial rigorous results of the blowup dynamics of solution of these equations describing the chemotactic aggregation of the
Externí odkaz:
http://arxiv.org/abs/1304.1583
Autor:
Tzaneteas, T., Sigal, I. M.
Building on earlier work, we have given in our paper in Contemporary Mathematics 535, 195-213, 2011 (referred here as [TS]) a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and have shown that the tr
Externí odkaz:
http://arxiv.org/abs/1112.1897
We establish the asymptotics of blowup for nonlinear heat equations with superlinear power nonlinearities in arbitrary dimensions and we estimate the remainders.
Comment: 45 pages. arXiv admin note: substantial text overlap with arXiv:math/06091
Comment: 45 pages. arXiv admin note: substantial text overlap with arXiv:math/06091
Externí odkaz:
http://arxiv.org/abs/1111.7208
Publikováno v:
Physica D, v. 241, 1245-1254 (2012)
We consider the phenomenon of collapse in the critical Keller-Segel equation (KS) which models chemotactic aggregation of micro-organisms underlying many social activities, e.g. fruiting body development and biofilm formation. Also KS describes the c
Externí odkaz:
http://arxiv.org/abs/1110.6393
Autor:
Sigal, I. M., Tzaneteas, T.
We consider Abrikosov-type vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, consisting of single vortices, for magnetic fields below but close to the second critical magnetic field H_{c2} = kappa^2 and for superconducto
Externí odkaz:
http://arxiv.org/abs/1110.5988
Autor:
Sigal, I. M., Tzaneteas, T.
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations in two dimensions, for magnetic fields larger than but close to the first critical magnetic field.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/1110.5987
Autor:
Sigal, I. M.
The standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic field. Within this model, we review basic notions, results and techniques
Externí odkaz:
http://arxiv.org/abs/1110.3841
We describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum system with many qubits. The approach represents a rigorous analysis of the phenomenon of decoherence and relaxation for general $N$-level sy
Externí odkaz:
http://arxiv.org/abs/0911.3122
Autor:
Tzaneteas, T., Sigal, I. M.
Building on the earlier work of Odeh, Barany, Golubitsky, Turski and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/0911.2432