[P1] O. Souček , MH, and J. Málek. On a thermodynamic framework for developing boundary conditions for Korteweg fluids. arXiv preprint 1906.03463, 2019.
[P2] MH, S. Neukamm, and M. Varga. Stochastic homogenization of λ-convex gradient flows. arXiv preprint 1905.02562, 2019.
[P3] B. Franchi, MH, and S. Lorenzani. A mathematical model for Alzheimer’s disease: An approach via stochastic homogenization of the Smoluchowski equation. arXiv preprint 1904.11015, 2019.
[P4] F. Flegel and MH. The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps. arXiv preprint 1904.06889, 2019.
[P5] MH, R. Kornhuber, and J. Podlesny. Fractal homogenization of multiscale interface problems. arXiv preprint 1712.01172, 2017.
Publications in refereed journals
[H20] F. Flegel, MH, and M. Slowik. Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps. Accepted by Annales de l’Institut Henry Poincaré probabilités et statistiques, 2017. (Preprint)
[H19] MH and S. Nesenenko. Stochastic homogenization of rate-dependent models of monotone type in plasticity. Asymptotic Analysis, 112(3-4):185–212, 2019. (Preprint)
[H18] MH, R. I. Patterson, and D. M. Renger. Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. Journal of Evolution Equations, 19(1):111–152, 2019. (Preprint)
[H17] MH and M. Röger. Large deviation principle for a stochastic Allen–Cahn equation. Journal of Theoretical Probability, 31(1):364–401, 2018. (Preprint)
[H16] Convergences of the squareroot approximation scheme to the Fokker–Planck operator. Mathematical Models and Methods in Applied Sciences, 28(13):2599–2635, 2018. (Preprint)
[H15] L. Donati, MH, B. G. Keller, and M. Weber. Estimation of the infinitesimal generator by square-root approximation. Journal of Physics: Condensed Matter, 30(42):425201, 2018. (Preprint)
[H13] C. Dörlemann, MH, and B. Schweizer. Transmission conditions for the Helmholtz-equation in perforated domains. Vietnam Journal of Mathematics, On the occasion of the 75th Birthday of W. Jäger, 45(1-2):241–253, 2017. (Preprint)
[H12] Stochastic homogenization of rate-independent systems and applications. Continuum Mechanics and Thermodynamics, 29(3):853–894, 2017. (Preprint)
[H11] MH and A. Mielke. Averaging of time-periodic dissipation potentials in rate-independent processes. Discrete & Continuous Dynamical Systems-Series S, 10(6), 2017. (Preprint)
[H10] MH and B. Schweizer. Non-periodic homogenization of infinitesimal strain plasticity equations. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 96(1):5–23, 2016. (Preprint)
[H09] Existence of solutions for two types of generalized versions of the Cahn–Hilliard equation. Applications of Mathematics, 60(1):51–90, 2015. (Preprint)
[H08] On systems of Cahn–Hilliard and Allen–Cahn equations considered as gradient flows in Hilbert spaces. Journal of Mathematical Analysis and Applications, 423(1):410–455, 2015. (Preprint)
[H06] On the derivation of thermodynamically consistent boundary conditions for the Cahn–Hilliard–Navier–Stokes system. International Journal of Engineering Science, 62:126–156, 2013. (Preprint)
[H05] MH, J. Málek, and K. Rajagopal. On the development and generalizations of Allen–Cahn and Stefan equations within a thermodynamic framework. Zeitschrift für angewandte Mathematik und Physik, 63(4):759–776, 2012. (Preprint)
[H04] MH, J. Málek, and K. R. Rajagopal. On the development and generalizations of Cahn–Hilliard equations within a thermodynamic framework. Zeitschrift für angewandte Mathematik und Physik, 63(1):145–169, 2012. (Preprint)
[H03] Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Applicable Analysis, 91(7):1243–1264, 2012.
[H02] An extension of the stochastic two-scale convergence method and application. Asymptotic Analysis, 72(1-2):1–30, 2011.
Modeling Multiphase Flow in Porous Media with an Application to Permafrost Soil. (Access to full text.)
Stochastic Homogenization of Heat Transfer through a Polycrystal,
University of Heidelberg, 2008.
Last modified: 2018-04-08 by Martin Heida