Zobrazeno 1 - 10
of 616
pro vyhledávání: '"Garcke Harald"'
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
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 159-197 (2021)
A cost function involving the eigenvalues of an elastic structure is optimized using a phase-field approach, which allows for topology changes and multiple materials.We show continuity and differentiability of simple eigenvalues in the phase-field co
Externí odkaz:
https://doaj.org/article/819050d9b1d74959816b80dead51fd38
We propose a novel formulation for parametric finite element methods to simulate surface diffusion of closed curves, which is also called as the curve diffusion. Several high-order temporal discretizations are proposed based on this new formulation.
Externí odkaz:
http://arxiv.org/abs/2408.13443
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
We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve networks in two space dimensions (2d) or surface clusters in three space
Externí odkaz:
http://arxiv.org/abs/2407.18529
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
In this work, we present a parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. The free boundary problem is given by the viscoelastic Navier-Stokes equations in the two fluid phases, connected by jump conditi
Externí odkaz:
http://arxiv.org/abs/2406.13566
Publikováno v:
Math. Models Methods Appl. Sci. 34 (2024) 2055--2097
This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting system leads to complex patterns involving a separation into phases as typ
Externí odkaz:
http://arxiv.org/abs/2405.01947
Autor:
Garcke, Harald, Nürnberg, Robert
Phase transition problems on curved surfaces can lead to a panopticon of fascinating patterns. In this paper we consider finite element approximations of phase field models with a spatially inhomogeneous and anisotropic surface energy density. The pr
Externí odkaz:
http://arxiv.org/abs/2403.14206
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