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Late-Time Behaviour of Israel Particles in a FLRW Spacetime with Λ>0
[OWP-2016-19] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW space-time. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain global-in-time ...
Plethystic Vertex Operators and Boson-Fermion Correspondences
[OWP-2016-11] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associated with certain generalized universal ...
Rational Approximation on Products of Planar Domains
[OWP-2016-05] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We consider $A(\Omega)$, the Banach space of functions $f$ from $ \overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where ...
Regularity and energy conservation for the compressible Euler equations
[OWP-2016-04] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator ...
Generalized Entropy Method for the Renewal Equation with Measure Data
[OWP-2016-07] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We study the long-time asymptotics for the so-called McKendrick-Von Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contrast to previous works, we can admit a bounded ...
Alexander r-Tuples and Bier Complexes
[OWP-2016-17] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
We introduce and study Alexander $r$-Tuples $\mathcal{K} = \langle K_i \rangle ^r_{i=1}$ of simplicial complexes, as a common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r-unavoidable ...