198 citations · 1k across the 73 of their papers we have counts for
83 papers
Elastic wave propagation in fractured media with spring-type and frictional contact deformation laws
Ingrid Kristine Jacobsen, Jan Martin Nordbotten, Ivar Stefansson +2
Elastic wave propagation in fractured media is relevant to applications such as analysis of seismic waves and non-destructive characterization of materials. Understanding attenuati…
Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation
Dmytro Sytnyk, Barbara Wohlmuth
We consider a Cauchy problem for the inhomogeneous differential equation given in terms of an unbounded linear operator and the Caputo fractional derivative of order $α\in (0,…
Analysis of a dilute polymer model with a time-fractional derivative
Marvin Fritz, Endre Süli, Barbara Wohlmuth
We investigate the well-posedness of a coupled Navier-Stokes-Fokker-Planck system with a time-fractional derivative. Such systems arise in the kinetic theory of dilute solutions of…
Bridging Scales: a Hybrid Model to Simulate Vascular Tumor Growth and Treatment Response
Tobias Duswald, Ernesto A. B. F. Lima, J. Tinsley Oden +1
Cancer is a disease driven by random DNA mutations and the interaction of many complex phenomena. To improve the understanding and ultimately find more effective treatments, resear…
Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type
Dmytro Sytnyk, Barbara Wohlmuth
We present an exponentially convergent numerical method to approximate the solution of the Cauchy problem for the inhomogeneous fractional differential equation with an unbounded o…
A phase-field model for non-small cell lung cancer under the effects of immunotherapy
Andreas Wagner, Pirmin Schlicke, Marvin Fritz +4
Formulating tumor models that predict growth under therapy is vital for improving patient-specific treatment plans. In this context, we present our recent work on simulating non-sm…