ar X iv : m at h - ph / 0 30 20 57 v 1 2 4 Fe b 20 03 A Recurrence Formula for Solutions of Burgers Equations ∗

ar X iv : m at h - ph / 0 30 20 21 v 1 1 0 Fe b 20 03 Phase turbulence in the Complex Ginzburg – Landau equation via Kuramoto – Sivashinsky

ar X iv : m at h - ph / 0 30 10 19 v 1 1 5 Ja n 20 03 Which distributions of matter diffract ? — Some answers

ar X iv : m at h - ph / 0 30 20 60 v 1 2 5 Fe b 20 03 Product Formula Related to Quantum Zeno Dynamics

The fact that the decay of an unstable system can be slowed down, or even fully stopped in the ideal case, by frequently repeated measurements checking whether the system is still undecayed was noticed first by Beskow and Nilsson [BN]. It was only decade later, however, when Misra and Sudarshan [MS] caught the imagination of the community by linking the effect to the well-known Zeno aporia abou...

ar X iv : m at h / 03 02 12 9 v 1 [ m at h . A P ] 1 1 Fe b 20 03 Singular and regular solutions of a non - linear parabolic system

We study a dissipative nonlinear equation modelling certain features of the Navier-Stokes equations. We prove that the evolution of radially symmetric compactly supported initial data does not lead to singularities in dimensions n ≤ 4. For dimensions n > 4 we present strong numerical evidence supporting existence of blow-up solutions. Moreover, using the same techniques we numerically confirm a...

ar X iv : h ep - p h / 03 02 18 5 v 1 2 0 Fe b 20 03 Nonlinear corrections to the DGLAP equations ; looking for the saturation limits ∗

The effects of the first nonlinear corrections to the DGLAP equations are studied in light of the HERA data. Saturation limits are determined in the DGLAP+GLRMQ approach for the free proton and for the Pb nucleus.