Prof. Dr. Christiane Kraus
Fakultät Angewandte Natur- und Geisteswissenschaften
97070 Würzburg
Mittwoch, 13:30 -14:30 Uhr (nach Vereinbarung)
Mathematik
Lehrgebiete
Lehrgebiete
Ingenieurmathematik, Analysis, Lineare Algebra, Variationsmethoden, Partielle Differentialgleichungen, Funktionalanalysis, Thermodynamik
Publikationen
Publications
Monographs
Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media (with Ch. Heinemann), Springer Fachmedien, Wiesbaden, 2014, 173 pages, (Monograph Published).
Articles in Refereed Journal
- Maximal convergence theorems for functions of squared modulus holomorphic type in two dimensons and some applications, J. Approx. Theory, 147, pp. 47--66, 2007.
- The equilibria of liquid-vapour systems revisited (mit W. Dreyer), WIAS-Preprint 1238, Berlin, 2007.
- Multivariate Polynomial Approximation of Powers of the Euclidean Distance, Constr. Approx., 27, pp. 323--327, 2008.
- An anisotropic, inhomogeneous, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model (mit H. Garcke), PAMM, 10, pp. 519--520, 2010.
- On the van der Waals-Cahn-Hilliard phase-field model and its equilibria conditions in the sharp interface limit (mit W. Dreyer), Proc. Roy. Soc. Edinburgh, 140 A, pp. 1--26, 2010.
- An anisotropic, inhomogeneous, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model (mit H. Garcke), Adv. Math. Sci. Appl., 20, pp. 511--545, 2010.
- Interface conditions for limits of the Navier-Stokes-Korteweg model (mit K. Hermsdoerfer und D. Kroener), Interfaces Free Bound., 13, pp. 239--254, 2011.
- An anisotropic, inhomogeneous, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model (mit H. Garcke), Adv. Math. Sci. Appl. , 20, pp. 511--545, 2010.
- Bernstein-Walsh type theorems for real analytic functions in several dimensions, Constr. Approx. , 33, pp. 191--217, 2011.
- Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage (mit C. Heinemann), Adv. Math. Sci. Appl., 21, pp. 321--359, 2011.
- The degenerate and non-degenerate Stefan problem with spatially inhomogeneous and anisotropic Gibbs-Thomson law, European J. Appl. Math., 22, pp. 393--422, 2011.
- Asymptotic analysis for Korteweg models (mit W. Dreyer, J. Giesselmann und C. Rohde), Interfaces Free Bound., 14, pp. 105--143, 2012.
- A diffuse interface model for quasi-incompressible flows: Sharp interface limits and numerics (mit G. Aki, J. Daube, W. Dreyer, J. Giesselmann, M. Kraenkel), ESAIM Proceedings, 38, pp. 54--77, 2012.
- Existence results for diffuse interface models describing phase separation and damage (mit C. Heinemann), European J. Appl. Math., 24, pp. 179--211, 2013.
- A quasi-incompressible diffuse model with phase transition -- modeling and sharp interface limits (mit G. Aki, W. Dreyer, J. Giesselmann), Math. Models Methods Appl. Sci., 24, pp. 827--86, 2014.
- A compressible mixture model with phase transition (mit W. Dreyer, J. Giesselmann), Phys. D, 273-274, pp. 1--13, 2014.
- Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes (mit C. Heinemann), Mathematica Bohemica, 139, pp. 315-331, 2014.
- A degenerating Cahn-Hilliard system coupled with complete damage processes (mit C. Heinemann), Nonlinear Anal. Real World Appl., 22, pp. 388--403, 2015.
- Modelling and analysis of a phase-field system for damage and phase separation processes in solids (mit E. Bonetti, C. Heinemann, A. Segatti), J. of Diff. Equations., 258, pp. 3928--3959, 2015
- Existence of weak solutions for a PDE system describing phase separation and damage processes including inertia effects (mit C. Heinemann), Discrete Contin. Dyn. Syst., 35, pp. 2565--2590, 2015.
- Complete damage in linear elastic materials -- modeling, weak formulation and existence results (mit C. Heinemann), Calc. Var. Partial Differ. Equ., 54, pp. 217--255, 2015.
- Existence of weak solutions for a hyperbolic-parabolic phase-field system with mixed boundary conditions on non-smooth domains (mit C. Heinemann), SIAM J. Math. Anal., 47, pp. 2044--2073, 2015.
- Modeling and simulation of non-isothermal rate-dependent damage processes in inhomogeneous materials using the phase-field approach (mit M. Radszuweit), Computational Mechanics, 60, pp. 163--179, 2017.
- Existence of weak solutions for the Cahn--Hilliard reaction model including elastic effects and damage (mit A. Roggensack), J. Partial Differ. Equ., 30, pp. 111-145, 2017.
- A temperature-dependent phase-field model for phase separation and damage (mit C. Heinemann, E. Rocca und R. Rossi), Arch. Ration. Mech. Anal. , 225, pp. 177--247, 2017.
- The Sharp-Interface Limit for the Navier-Stokes-Korteweg Equations (mit H. Abels, J. Daube, Dietmar Kröner), in "Theory, Numerics and Applications of Hyperbolic Problems I", pp. 1-13, 2018.
- Pressure Reconstruction for the Two-Phase Incompressible Navier-Stokes Equations (mit H. Abels, J. Daube), Asymptotic Analysis, 113, pp. 51–86, 2019.
Contributions to Collected Editions
- C3 -- Phase transformation and separation in solids (with D. Knees, R. Kornhuber, A. Mielke, J. Sprekels), in: MATHEON -- Mathematics for Key Technologies, M. Grötschel, D. Hömberg, J. Sprekels, V. Mehrmann ET AL., eds., 1 of EMS Series in Industrial and Applied Mathematics, European Mathematical Society Publishing House, Zurich, 2014, pp. 189--203.
- Sharp interface limit of a diffuse interface model of Navier--Stokes--Allen--Cahn type for mixtures, in: Hyperbolic Techniques for Phase Dynamics, Workshop, June 9--15, 2013, 29 of Oberwolfach Reports, Mathematisches Forschungsinstitut Oberwolfach, 2013, pp. 1719--1722.
- Damage processes coupled with phase separation in elastically stressed alloys (with Ch. Heinemann), in: Proceedings in Applied Mathematics and Mechanics (PAMM), 12, 2012, pp. 153--154.
- An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model (with H. Garcke) , 10 of Proceedings in Applied Mathematics and Mechanics (PAMM), 2010, pp. 519--520.
Diploma thesis
Numerische Approximation konformer Abbildungen durch Polynome
PhD thesis
On some Maximal Convergence Theorems for Real Analytic Functions in several dimensons