Harald Garcke

Garcke studied Mathematics and Computer Science at the University of Bonn and finished his PhD 1993 as a student of Hans Wilhelm Alt (Travelling-Wave-Lösungen als Realisierung von Phasenübergängen bei Gedächtnismetallen).Travelling-Wave-Lösungen als Realisierung von Phasenübergängen bei Gedächtnismetallen., Bonner mathematische Schriften Nr. 256 Garcke, Harald: Verlag: Mathematisches Institut, Bonn,, 1993 1993/94 he was post-doc with Charles M. Elliott at the University of Sussex and from 1994 he was scientific assistant in Bonn where he finished his habilitation in 2000 (with the habilitation thesis On mathematical models for phase separation in elastically stressed solids).{{cite journal |doi=10.1137/S0036141094267662 |citeseerx=10.1.1.24.8570|title=On the Cahn-Hilliard equation with degenerate mobility|journal=SIAM Journal on Mathematical Analysis|volume=27|issue=2|pages=404–423|year=1996|last1=Elliott|first1=Charles M.|last2=Garcke|first2=Harald}} In the year 2001 he got offers for professur-positions at the Universities Regensburg and Duisburg. Since 2002 he is full professor at the University of Regensburg where he was dean of the Mathematics department from 2005 to 2007.

Garcke works on nonlinear partial differential equations, free boundary problems, phase field equations, numerical analysis and geometric evolution equations. Together with Christof Eck and Peter Knabner he is the author of a book on mathematical modelling.Christof Eck, Harald Garcke, Peter Knabner: Mathematische Modellierung. Springer-Verlag, 2008

His most important works are fundamental results on the Cahn-Hilliard equation,{{Cite journal |doi = 10.1017/S0308210500002419|title = On Cahn—Hilliard systems with elasticity|journal = Proceedings of the Royal Society of Edinburgh, Section A|volume = 133|issue = 2|pages = 307–331|year = 2003|last1 = Garcke|first1 = Harald|citeseerx = 10.1.1.8.541| s2cid=15383135 }}{{cite journal |doi=10.1142/S0218202511500138|bibcode=2011arXiv1104.1336A|arxiv=1104.1336|title=Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities|journal=Mathematical Models and Methods in Applied Sciences|volume=22|issue=3|pages=1150013|last1=Abels|first1=H.|last2=Garcke|first2=H.|last3=Grün|first3=G.|year=2011|s2cid=1414320 }} results on the thin film equation {{cite journal|doi=10.1137/S0036141096306170|title=On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions|journal=SIAM Journal on Mathematical Analysis|volume=29|issue=2|pages=321–342|year=1998|last1=Passo|first1=Roberta Dal|last2=Garcke|first2=Harald|last3=Grün|first3=Günther}} and work with Britta Nestler on phase field models.{{cite journal |doi=10.1137/S0036139998334895|title=A Multi Phase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions|journal=SIAM Journal on Applied Mathematics|volume=60|pages=295–315|year=1999|last1=Garcke|first1=Harald|last2=Nestler|first2=Britta|last3=Stoth|first3=Barbara|url=https://publikationen.bibliothek.kit.edu/1000019281|citeseerx=10.1.1.8.1711}} Work with J.W. Barrett and R. Nürnberg on the mathematics of snow crystals was also well received by the popular media.{{cite web|last=Cowen |first=Ron |url=http://www.scientificamerican.com/article/how-do-snowflakes-form/ |title=Snowflake Growth Successfully Modeled from Physical Laws |publisher=Scientific American |date=2012-03-16 |accessdate=2015-10-23}}

• [http://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/Mat8/lst/ University of Regensburg]
• [https://zbmath.org/authors/?s=0&c=100&q=Harald+Garcke Author Profile] in the database zbMATH

{{Authority control}}

{{DEFAULTSORT:Garcke, Harald}}

Category:1963 births

Category:Living people

Category:20th-century German mathematicians

Category:Academic staff of the University of Regensburg

Category:University of Bonn alumni

Category:21st-century German mathematicians