Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Fritz Marvin"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 1-5 (2022)
Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied. In this work, we propose a general framew
Externí odkaz:
https://doaj.org/article/4170a493e91144ceac749f9c9c594ea7
Autor:
Brunk, Aaron, Fritz, Marvin
The Ohta-Kawasaki equation models the mesoscopic phase separation of immiscible polymer chains that form diblock copolymers, with applications in directed self-assembly for lithography. We perform a mathematical analysis of this model under degenerat
Externí odkaz:
http://arxiv.org/abs/2411.09498
In this work, it is proven the semiglobal exponential stabilization to time-dependent trajectories of the nonisothermal Cahn-Hilliard equations. In the model, the input controls are given by explicit feedback operators that involve appropriate obliqu
Externí odkaz:
http://arxiv.org/abs/2411.04018
Autor:
Egger, Herbert, Fritz, Marvin
We study a class of models for nonlinear acoustics, including the well-known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energ
Externí odkaz:
http://arxiv.org/abs/2409.01067
Autor:
Brunk, Aaron, Fritz, Marvin
In this work, we propose a structure-preserving discretisation for the recently studied Cahn-Hilliard-Biot system using conforming finite elements in space and problem-adapted explicit-implicit Euler time integration. We prove that the scheme preserv
Externí odkaz:
http://arxiv.org/abs/2407.12349
Autor:
Fritz, Marvin, Scarpa, Luca
In this work, we present and analyze a system of PDEs, which models tumor growth by considering chemotaxis, active transport, and random effects. The stochasticity of the system is modelled by random initial data and Wiener noises that appear in the
Externí odkaz:
http://arxiv.org/abs/2312.06288
Autor:
Fritz, Marvin
We study the Cahn-Hilliard-Biot model with respect to its mathematical well-posedness. The system models flow through deformable porous media in which the solid material has two phases with distinct material properties. The two phases of the porous m
Externí odkaz:
http://arxiv.org/abs/2310.07050
Autor:
Fritz, Marvin
In this paper, we investigate the well-posedness of weak solutions to the time-fractional Fokker-Planck equation. Its dynamics is governed by anomalous diffusion, and we consider the most general case of space-time dependent forces. Consequently, the
Externí odkaz:
http://arxiv.org/abs/2307.16615
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 polymeric liquids, where the motion of noninteracting polymer chains
Externí odkaz:
http://arxiv.org/abs/2307.16606
Autor:
Fritz, Marvin
In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on diffusive interf
Externí odkaz:
http://arxiv.org/abs/2303.10968