In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)

The eminent scientist Bogoljub Stanković, Full member of the Serbian Academy of Sciences and Arts (SASA) and a longtime Editor-in-Chief of the SASA Bulletin of Mathematical Sciences, died on 16 May 2018.Bulletin t. 151 de l'Académie serbe des sciences et des arts, Classe des sciences mathématiques et naturelles, sciences mathematiques no 4

On thermodynamically consistent Stefan problems with variable surface energy

A thermodynamically consistent two-phase Stefan problem with temperature-dependent surface tension and with or without kinetic undercooling is studied. It is shown that these problems generate local semiflows in well-defined state manifolds. If a solution does not exhibit singularities, it is proved that it exists globally in time and converges towards an equilibrium of the problem. In addition, stability and instability of equilibria is studied. In particular, it is shown that multiple spheres of the same radius are unstable if surface heat capacity is small; however, if kinetic undercooling is absent, they are stable if surface heat capacity is sufficiently large.Comment: To appear in Arch. Ration. Mech. Anal. The final publication is available at Springer via http://dx.doi.org/10.1007/s00205-015-0938-y. arXiv admin note: substantial text overlap with arXiv:1101.376

Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension

The qualitative behavior of a thermodynamically consistent two-phase Stefan problem with surface tension and with or without kinetic undercooling is studied. It is shown that these problems generate local semiflows in well-defined state manifolds. If a solution does not exhibit singularities in a sense made precise below, it is proved that it exists globally in time and its orbit is relatively compact. In addition, stability and instability of equilibria is studied. In particular, it is shown that multiple spheres of the same radius are unstable, reminiscent of the onset of Ostwald ripening.Comment: 56 pages. Expanded introduction, added references. This revised version is published in Arch. Ration. Mech. Anal. (207) (2013), 611-66

Is Phallus impudicus a mycological giant?

Based on a mathematical model, using numerical analyses it can be concluded that the tender structure of the common stinkhorn, Phallus impudicus, growing out of hard asphalt road is capable of producing the very powerful force of 1.33 kN/m2. which means that three of these mushrooms can lift approximately 400 kg