Zobrazeno 1 - 10
of 311
pro vyhledávání: '"Abels Helmut"'
Autor:
Abels Helmut, Liu Yadong
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 141-157 (2023)
We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the incompress
Externí odkaz:
https://doaj.org/article/fee43b21e9094c44968daa42c6b853a7
We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is modeled by two Cahn--Hilliard--Oono equations for the copolymer blocks, acc
Externí odkaz:
http://arxiv.org/abs/2411.04074
We prove convergence of the nonlocal Allen-Cahn equation to mean curvature flow in the sharp interface limit, in the situation when the parameter corresponding to the kernel goes to zero fast enough with respect to the diffuse interface thickness. Th
Externí odkaz:
http://arxiv.org/abs/2410.08596
We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and a singular (logarithmic) potential. The system describes a diffuse in
Externí odkaz:
http://arxiv.org/abs/2408.07449
A Cahn-Hilliard-Navier-Stokes system for two-phase flow on an evolving surface with non-matched densities is derived using methods from rational thermodynamics. For a Cahn-Hilliard energy with a singular (logarithmic) potential short time well-posedn
Externí odkaz:
http://arxiv.org/abs/2407.14941
We prove existence of weak solutions to a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly couples Biot's equations for poroelasticity, including phase-field d
Externí odkaz:
http://arxiv.org/abs/2403.07515
Publikováno v:
GAMM - Mitteilungen, 47:e202470008, 2024
In this paper, we consider a singular limit problem for a diffuse interface model for two immiscible compressible viscous fluids. Via a relative entropy method, we obtain a convergence result for the low Mach number limit to a corresponding system fo
Externí odkaz:
http://arxiv.org/abs/2402.04372
Autor:
Abels, Helmut
We show convergence of solutions of a convective Allen-Cahn equation for a given smooth and divergence free velocity field to a transport equation for an evolving interface in the case when the thickness of the diffuse interface tends to zero and the
Externí odkaz:
http://arxiv.org/abs/2401.02807
Autor:
Abels, Helmut, Grubb, Gerd
We prove optimal regularity results in $L_p$-based function spaces in space and time for a large class of linear parabolic equations with a nonlocal elliptic operator in bounded domains with limited smoothness. Here the nonlocal operator is given by
Externí odkaz:
http://arxiv.org/abs/2312.01864
We show convergence of the Navier-Stokes/Allen-Cahn system to a classical sharp interface model for the two-phase flow of two viscous incompressible fluids with same viscosities in a smooth bounded domain in two and three space dimensions as long as
Externí odkaz:
http://arxiv.org/abs/2311.02997