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Existence of Weak Solutions for the Cahn-Hilliard Reaction Model Including Elastic Effects and Damage

Journal of partial differential equations, 2017-06, Vol.30 (2), p.111-145

Christiane, Kraus

2017

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Complete damage in linear elastic materials: modeling, weak formulation and existence results

Calculus of variations and partial differential equations, 2015-09, Vol.54 (1), p.217-250

2015

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Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media

2014, 2014

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On the van der Waals–Cahn–Hilliard phase-field model and its equilibria conditions in the sharp interface limit

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2010-12, Vol.140 (6), p.1161-1186

2010

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Modeling and simulation of non-isothermal rate-dependent damage processes in inhomogeneous materials using the phase-field approach

Computational mechanics, 2017-07, Vol.60 (1), p.163-179

2017

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Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects

Discrete and continuous dynamical systems. Series A, 2015-06, Vol.35 (6), p.2565-2590

2015

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A degenerating Cahn–Hilliard system coupled with complete damage processes

Nonlinear analysis: real world applications, 2015-04, Vol.22, p.388-403

2015

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Existence of Weak Solutions for a Hyperbolic-Parabolic Phase Field System with Mixed Boundary Conditions on Nonsmooth Domains

SIAM journal on mathematical analysis, 2015-01, Vol.47 (3), p.2044-2073

2015

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Existence results for diffuse interface models describing phase separation and damage

European journal of applied mathematics, 2013-04, Vol.24 (2), p.179-211

2013

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A Temperature-Dependent Phase-Field Model for Phase Separation and Damage

Archive for rational mechanics and analysis, 2017-07, Vol.225 (1), p.177-247

2017

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Pressure reconstruction for weak solutions of the two-phase incompressible Navier–Stokes equations with surface tension

Asymptotic analysis, 2019-01, Vol.113 (1-2), p.51-86

2019

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The degenerate and non-degenerate Stefan problem with inhomogeneous and anisotropic Gibbs–Thomson law

European journal of applied mathematics, 2011-10, Vol.22 (5), p.393-422

KRAUS, CHRISTIANE

2011

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A compressible mixture model with phase transition

Physica. D, 2014-04, Vol.273-274, p.1-13

2014

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Bernstein–Walsh Type Theorems for Real Analytic Functions in Several Variables

Constructive approximation, 2011-04, Vol.33 (2), p.191-217

Kraus, Christiane

2011

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A quasi-incompressible diffuse interface model with phase transition

Mathematical models & methods in applied sciences, 2014-05, Vol.24 (5), p.827-861

2014

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Modeling and analysis of a phase field system for damage and phase separation processes in solids

Journal of Differential Equations, 2015-06, Vol.258 (11), p.3928-3959

2015

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Engineered mesenchymal stem cells as therapeutic vehicles for the treatment of solid tumors

Kraus, Christiane

2018

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Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes

Mathematica bohemica, 2014, Vol.139 (2), p.315-331

2014

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A vector platform for the rapid and efficient engineering of stable complex transgenes

Scientific reports, 2016-10, Vol.6 (1), p.34365-34365, Article 34365

2016

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Damage processes coupled with phase separation in elastically stressed alloys

Proceedings in applied mathematics and mechanics, 2012-12, Vol.12 (1), p.153-154

2012

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Multivariate Polynomial Approximation of Powers of the Euclidean Distance Function

Constructive approximation, 2008-04, Vol.27 (3), p.323-327

Kraus, Christiane

2008

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Maximal convergence theorems for functions of squared modulus holomorphic type in R 2 and some applications

Journal of approximation theory, 2007-07, Vol.147 (1), p.47-66

Kraus, Christiane

2007

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An inhomogeneous, anisotropic, elastically modified GibbsThomson law as singular limit of a diffuse interface model

Proceedings in applied mathematics and mechanics, 2010-12, Vol.10 (1), p.519-520

2010

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Asymptotic analysis for Korteweg models

Interfaces and free boundaries, 2012-01, Vol.14 (1), p.105-143

2012

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The Sharp-Interface Limit for the Navier–Stokes–Korteweg Equations

Theory, Numerics and Applications of Hyperbolic Problems I, 2018, Vol.236, p.1-13

2018

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Existence of Weak Solutions for the Cahn-Hilliard Reaction Model Including Elastic Effects and Damage

Complete damage in linear elastic materials: modeling, weak formulation and existence results

Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media

On the van der Waals–Cahn–Hilliard phase-field model and its equilibria conditions in the sharp interface limit

Modeling and simulation of non-isothermal rate-dependent damage processes in inhomogeneous materials using the phase-field approach

Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects

A degenerating Cahn–Hilliard system coupled with complete damage processes

Existence of Weak Solutions for a Hyperbolic-Parabolic Phase Field System with Mixed Boundary Conditions on Nonsmooth Domains

Existence results for diffuse interface models describing phase separation and damage

A Temperature-Dependent Phase-Field Model for Phase Separation and Damage

Pressure reconstruction for weak solutions of the two-phase incompressible Navier–Stokes equations with surface tension

The degenerate and non-degenerate Stefan problem with inhomogeneous and anisotropic Gibbs–Thomson law

A compressible mixture model with phase transition

Bernstein–Walsh Type Theorems for Real Analytic Functions in Several Variables

A quasi-incompressible diffuse interface model with phase transition

Modeling and analysis of a phase field system for damage and phase separation processes in solids

Engineered mesenchymal stem cells as therapeutic vehicles for the treatment of solid tumors

Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes

A vector platform for the rapid and efficient engineering of stable complex transgenes

Damage processes coupled with phase separation in elastically stressed alloys

Multivariate Polynomial Approximation of Powers of the Euclidean Distance Function

Maximal convergence theorems for functions of squared modulus holomorphic type in R 2 and some applications

An inhomogeneous, anisotropic, elastically modified GibbsThomson law as singular limit of a diffuse interface model

Asymptotic analysis for Korteweg models

The Sharp-Interface Limit for the Navier–Stokes–Korteweg Equations

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