12 citations · 63 across the 29 of their papers we have counts for
31 papers
Bayesian Parameter Identification in the Landau-de Gennes Theory for Nematic Liquid Crystals
Heiko Gimperlein, Ruma R. Maity, Apala Majumdar +1
This manuscript establishes a pathway to reconstruct material parameters from measurements within the Landau-de Gennes model for nematic liquid crystals. We present a Bayesian appr…
Generalized solutions to hyperbolic systems with random field coefficients
Jelena Karakašević, Michael Oberguggenberger, Martin Schwarz
The paper addresses linear hyperbolic systems in one space dimension with random field coefficients. In many applications, a low degree of regularity of the paths of the coefficien…
Solutions to semilinear wave equations of very low regularity
Heiko Gimperlein, Michael Oberguggenberger
This paper finds solutions to semilinear wave equations with strongly anomalous propagation of singularities. For very low Sobolev regularity we obtain solutions whose singular sup…
Synthetic versus distributional lower Ricci curvature bounds
Michael Kunzinger, Michael Oberguggenberger, James A. Vickers
We compare two standard approaches to defining lower Ricci curvature bounds for Riemannian metrics of regularity below . These are, on the one hand, the synthetic definition v…
Random set solutions to elliptic and hyperbolic partial differential equations
Jelena Karakašević, Michael Oberguggenberger
The past decades have seen increasing interest in modelling uncertainty by heterogeneous methods, combining probability and interval analysis, especially for assessing parameter un…
Initial-boundary value problem for 1D pressureless gas dynamics
L. Neumann, M. Oberguggenberger, M. R. Sahoo +1
The paper considers the system of pressureless gas dynamics in one space dimension. The question of solvability of the initial-boundary value problem is addressed. Using the method…