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of 6
pro vyhledávání: '"de Jong, Thomas Geert"'
In this paper, we provide well-posedness results for nonlinear parabolic PDEs given by reaction-diffusion equations describing the concentration of oxygen in encapsulated cells. The cells are described in terms of a core and a shell, which introduces
Externí odkaz:
http://arxiv.org/abs/2401.09863
We provide high-speed implementations for simulating reservoirs described by $N$-coupled spin-torque oscillators. Here $N$ also corresponds to the number of reservoir nodes. We benchmark a variety of implementations based on CPU and GPU. Our new meth
Externí odkaz:
http://arxiv.org/abs/2312.01121
We prove H\"{o}lder regularity for the trajectories of an interacting particle system. The particle velocities are given by the nonlocal and singular interactions with the other particles. Particle collisions occur in finite time. Prior to collisions
Externí odkaz:
http://arxiv.org/abs/2311.08739
Publikováno v:
Chaos. 33, 123101, 2023
Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabilities, they regularly outperform state-of-the-art model-driven methods
Externí odkaz:
http://arxiv.org/abs/2306.02300
We study local, analytic solutions for a class of initial value problems for singular ODEs. We prove existence and uniqueness of such solutions under a certain non-resonance condition. Our proof translates the singular initial value problem to an equ
Externí odkaz:
http://arxiv.org/abs/2108.08056
Autor:
de Jong, Thomas Geert1 (AUTHOR) t.g.de.jong.math@gmail.com, van Meurs, Patrick2 (AUTHOR)
Publikováno v:
Acta Applicandae Mathematicae. Aug2022, Vol. 180 Issue 1, p1-66. 66p.