Martin Heida

Martin Heida.
Fakultät für Mathematik
Lehrstuhl I
Vogelpothsweg 87
44227 Dortmund
Email: martin.heida (...)tu-dortmund.de

Sprechstunde: Dienstags 14:00-15:00 Uhr

Fields of Interest

Preprints

[1] M. Heida. A two-scale model of two-phase flow in porous media ranging from porespace to the macro scale. submitted to SIAM MMS, 2012. [ bib | http ]
[2] M. Heida, J. Málek, and K.R. Rajagopal. The derivation of thermodynamically consistent boundary conditions for korteweg-fourier fluids. in preparation. [ bib ]
[3] M. Heida. On gradient flows of nonconvex functionals in hilbert spaces with riemannian metric and application to cahn-hilliard equations. Journal of Differential Equations, 2012. [ bib | .pdf ]
[4] M. Heida. Existence of solutions for two types of generalized versions of the cahn-hilliard equation. 2012. [ bib ]

Video

Talk at the BIRS-Center, September 2012

Publications

[1] M. Heida and J. Málek. On compressible Korteweg fluid-like materials. International Journal of Engineering Science, 48(11):1313-1324, 2010. [ bib | http ]
[2] M. Heida, J. Màlek, and K.R. Rajagopal. On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynmic framework. to be submitted to Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2011. [ bib | http ]
[3] M. Heida, J. Màlek, and K.R. Rajagopal. On the development and generalizations of Cahn-Hilliard equations within rational thermodynamic framework. accepted by Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2011. [ bib | http ]
[4] M. Heida. An extension of the stochastic two-scale convergence method and application. Asymptotic Analysis, 72(1-2):1-30, 2011. [ bib | http ]
[5] M. Heida. On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system. accepted by IJES, 2011. [ bib | http ]
[6] M. Heida. Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Applicable Analysis, 91(7):1243-1264, 2012. [ bib | http ]