Prof. Dr. Günther Grün



Organisation


Professur für Angewandte Mathematik (Analysis und Numerik partieller Differentialgleichungen)



Project lead


Free boundary propagation and noise: analysis and numerics of stochastic degenerate parabolic equations
Prof. Dr. Günther Grün
(01/04/2018 - 31/03/2020)

IntComSin: Interfaces, complex structures, and singular limits in continuum mechanics
Prof. Dr. Günther Grün
(01/04/2018 - 30/09/2022)

(SPP 1506: Fluide Grenzflächen):
Diffuse interface models for transport processes at fluidic interfaces
Prof. Dr. Günther Grün
(01/06/2013 - 31/10/2017)

(SPP 1506: Fluide Grenzflächen):
Diffuse interface models for transport processes at fluidic interfaces
Prof. Dr. Günther Grün
(01/04/2010 - 30/04/2013)

(Fronts and Interfaces in Science and Technology):
FIRST: Fronts and Interfaces in Science and Technology
Prof. Dr. Günther Grün
(01/02/2010 - 31/12/2013)


Project member


EFI-MCS: Molecular Communication Systems
Prof. Dr.-Ing. Robert Schober
(01/01/2017 - 31/12/2019)


Publications (Download BibTeX)

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Grün, G., & Fischer, J. (2018). Existence of positive solutions to stochastic thin-film equations. SIAM Journal on Mathematical Analysis, 50(1), 411-455.
Grün, G., & Grillmeier, H. (2018). Nonnegativity preserving convergent schemes for the stochastic porous-medium equation. Mathematics of Computation, 88, 1021-1059. https://dx.doi.org/10.1090/mcom/3372
Grün, G., Metzger, S., Abels, H., & Garcke, H. (2017). Diffuse interface models for incompressible two-phase flows with different densities. In Advances in Mathematical Fluid Mechanics (pp. 203-229). springer.
Grün, G., & Metzger, S. (2017). Micro-macro-models for two-phase flow of dilute polymeric solutions: macroscopic limit, analysis, numerics. In Advances in Mathematical Fluid Mechanics (pp. 291-303). Springer.
Grün, G., Guillen-Gonzalez, F., & Metzger, S. (2016). On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities. Communications in Computational Physics, 19(5), 1473-1502.
Grün, G., & Metzger, S. (2016). On micro-macro-models for two-phase flow with dilute polymeric solutions -- modeling and analysis. Mathematical Models & Methods in Applied Sciences, 26(5), 823-866. https://dx.doi.org/10.1142/S0218202516500196
Grün, G., & Fischer, J. (2015). Finite speed of propagation and waiting times for the stochastic porous medium equation -- a unifying approach. SIAM Journal on Mathematical Analysis, 47(1), 825-854.
Grün, G., & Klingbeil, F. (2014). Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse interface model. Journal of Computational Physics, 257, 708-725.
Grün, G. (2013). On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities. SIAM Journal on Numerical Analysis, 51(6), 3036-3061. https://dx.doi.org/10.1137/130908208
Grün, G., & Fontelos, M.A. (2013). On uniqueness results for an elliptic-parabolic system of pde arising in dynamic electrowetting. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 93, 777-788.

Last updated on 2016-05-05 at 05:00