ar X iv : m at h - ph / 0 30 20 44 v 2 2 0 Fe b 20 03 Stefan problem and beyond

ar X iv : m at h - ph / 0 30 20 44 v 1 1 9 Fe b 20 03 Stefan ’ s problem and beyond

We argue that the celebrated Stefan condition on the moving interphase, accepted in mathematical physics up to now, can not be imposed if energy sources are spatially distributed in the volume. A method based on Tikhonov and Samarskii's ideas for numerical solution of the problem is developed. Mathematical modelling of energy relaxation of some processes useful in modern ion beam technologies i...

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 57 v 1 2 4 Fe b 20 03 A Recurrence Formula for Solutions of Burgers Equations ∗

A Bäcklund transformation(BT) and a recurrence formula are derived by the homogeneous balance(HB) method. A initial problem of Burgers equations is reduced to a initial problem of heat equation by the BT, the initial problem of heat equation is resolved by the Fourier transformation method, substituting various solutions of the initial problem of the heat equation will yield solutions of the in...

ar X iv : m at h - ph / 0 20 20 30 v 1 2 1 Fe b 20 02 On entanglement of states and quantum correlations ∗

In this paper we present the novel qualities of entanglement of formation for general (so also infinite dimensional) quantum systems and we introduce the notion of coefficient of quantum correlations. Our presentation stems from rigorous description of entanglement of formation.