Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals
type: Item
instance of: scholarly article
title: Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals
zbMATH Open document ID: 1257.35181
author: Olaf Klein
author: Wolfgang Dreyer
author: Pierre-Etienne Druet
author: Jürgen Sprekels
published in: Milan Journal of Mathematics
publication date: 2013-01-21T00:00:00Z
Mathematics Subject Classification ID: 35Q82
Mathematics Subject Classification ID: 35Q61
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 6127801
zbMATH Keywords: Czochralski method
zbMATH Keywords: crystal growth
zbMATH Keywords: traveling magnetic fields
zbMATH Keywords: radiative heat transfer
zbMATH Keywords: nonlinear PDE systems
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: MHD equations
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: well-posedness
zbMATH Keywords: optimal control
zbMATH Keywords: first-order necessary optimality conditions
zbMATH Keywords: numerical simulation
describes a project that uses: Triangle
describes a project that uses: pdelib
describes a project that uses: PARDISO
MaRDI profile type: Publication
full work available at URL: s00032-012-0184-9
OpenAlex ID: W2056719481
cites work: Q4261796
cites work: Q4315541
cites work: Weak solutions to a stationary heat equation with nonlocal radiation boundary condition and right‐hand side in Lp (p⩾1)
cites work: Existence of weak solutions to the time-dependent MHD equations coupled to the heat equation with nonlocal radiation boundary conditions
cites work: Q2970044
cites work: Existence for the stationary MHD-equations coupled to heat transfer with nonlocal radiation effects
cites work: Q5748077
cites work: Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary \(p\)-summable right-hand side.
cites work: Optimal Control of Three-Dimensional State-Constrained Induction Heating Problems with Nonlocal Radiation Effects
cites work: Noncompactness of integral operators modeling diffuse-gray radiation in polyhedral and transient settings
cites work: Modeling and simulation of sublimation growth of SiC bulk single crystals
cites work: TRANSIENT CONDUCTIVE–RADIATIVE HEAT TRANSFER: DISCRETE EXISTENCE AND UNIQUENESS FOR A FINITE VOLUME SCHEME
cites work: Conductive-radiative heat transfer in grey materials
cites work: Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions
cites work: State-Constrained Optimal Control of Semilinear Elliptic Equations with Nonlocal Radiation Interface Conditions
cites work: Q4353700
DOI: 10.1007/S00032-012-0184-9
description: scientific article; zbMATH DE number 6127801