Publications of Ben Schweizer:

Please note that preprints in general differ from the published version.

Preprints

• with A. Lamacz: Effective Maxwell equations in a geometry with flat rings of arbitrary shape (soon). preprint

• with P. Henning and M. Ohlberger: Homogenization of the degenerate two-phase flow equations (submitted) preprint

• with A. Rätz: Hysteresis models and gravity fingering in porous media (submitted) preprint
  

• with G. Bouchitte: Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings (submitted) preprint

• with J. Koch and A. Rätz: Two-phase flow equations with a dynamic capillary pressure (submitted) preprint
  

• Instability of gravity wetting fronts for Richards equations with hysteresis. Interfaces and Free Boundaries (accepted) preprint

• with M. Veneroni: On non-periodic homogenization of time-dependent equations (submitted)
  

2012

• The Richards equation with hysteresis and degenerate capillary pressure. J. Differential Equations 252, p. 5594-561, 2012 preprint
  

2011     

• with M. Veneroni: The needle problem approach to non-periodic homogenization. Networks and Heterogeneous Media, 6(4), 2011 preprint

• with A. Lamacz and A. Rätz: A well-posed hysteresis model for flows in porous media and applications to fingering effects. Advances in Mathematical Sciences and Applications 21, p. 33-64, 2011 preprint

• with I.S. Pop: Regularization schemes for degenerate Richards equations and outflow conditions. M3AS, 21(8), p. 1685-1712, 2011 preprint

• with S. Conti: On scalar metrics that maximize geodesic distance in the plane. Calc. Var. & PDE, 41(1), p. 151, 2011 preprint
  

2010

• with M. Veneroni: Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension. Journal of Multiscale Modelling 2(1-2), 69-106, 2010  preprint

• with G. Bouchitte: Cloaking of small objects by anomalous localized resonance. QJMAM 63(4), 437-463, 2010 preprint

• with M. Lenzinger: Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case. Nonlinear Analysis TMA 73(4), 840-853, 2010 preprint
  

• with M. Lenzinger: Effective reaction rates of a thin catalyst layer. Mathematical Methods in The Applied Sciences, 33, 974-984, 2010 preprint
  

• with G. Bouchitte: Homogenization of Maxwell's equations in a split ring geometry. SIAM Multiscale Modeling and Simulation,8(3), 717-750, 2010 preprint
  

2009

• with F. Buzzi and M. Lenzinger: Interface conditions for degenerate two-phase flow equations in one space dimension. Analysis, 29(3), 299-316, 2009 preprint
  

• Homogenization of the Prager model in one-dimensional plasticity. Continuum Mechanics and Thermodynamics 20(8), page 459, 2009. preprint

• with Chr. Melcher: Direct approach to L^p estimates in homogenization theory. Annali di Matematica Pura ed Applicata, 188(3), 399, 2009. preprint

2008

• with M. Mihailovici: Effective model for the cathode catalyst layer in fuels cells. Asymptotic Analysis 57 (2008), no. 1-2, 105-123. preprint
  

• with F. Strauss and V. Heuveline: Existence and approximation results for shape optimization problems in rotordynamics. Numer. Math. 109 (2008), 311-332. preprint
  

• with D. Horstmann: A free boundary charaterization of measure-valued solutions for forward-backward diffusion. Advances in Differential Equations, Volume 13, 2008. preprint
  

• Homogenization of degenerate two-phase flow equations with oil-trapping. SIAM J. Math. Anal., 39 (2008), 1740-1763. preprint

• with I.S. Pop: On the homogenization of the Buckley-Leverett equation including trapping effects at the micro scale, PAMM · Proc. Appl. Math. Mech., Vol. 7 (2008), 1024701-1024702.

  2007

• with M. Ohlberger: Modelling of interfaces in unsaturated porous media. Conference Proceedings of the AIMS. preprint

• Averaging of flows with capillary hysteresis in stochastic porous media. European Journal of Applied Mathematics,18:389-415, 2007. preprint

• Regularization of outflow problems in unsaturated porous media with dry regions. J. Differential Equations 237:278-306, 2007. preprint.

  2006

• with S. Conti: Rigidity and Gamma convergence for solid-solid phase transitions with SO(2) invariance. Comm. Pure Appl. Math., 59:0830-0868, 2006.
  

• with S. Conti: A sharp interface limit for a two-well problem in geometrically linear elasticity. Arch. Rat. Mech. Anal. 179:413-452, 2006.
  

• with S. Conti: Gamma convergence for phase transitions in impenetrable elastic materials. Multi scale problems and asymptotic analysis, 105-118, GAKUTO Internat. Ser. Math. Sci. Appl., 24, Gakkotosho, Tokyo, 2006.
  

• with S. Bodea, C. Surulescu, I. Surovtsova: Fluid flow and free boundaries. Reactive Flows, Diffusion and Transport, W. Jäger, R. Rannacher, J. Warnatz (editors), Springer, 2006.
  

• with W. Jäger: Microscopic interfaces in porous media. Reactive Flows, Diffusion and Transport, W. Jäger, R. Rannacher, J. Warnatz (editors), Springer, 2006.
  

  2005

• with S. Heinze: Creeping fronts in degenerate reaction diffusion systems. Nonlinearity, 18:1-22, 2005. preprint

• with G. Buttazzo: On the Gamma-Limit of the one-dimensional Hausdorff-measure for a sequence of distance functions. Journal of Convex Analysis 12(1), 2005. preprint

• On the Euler equations with a free boundary driven by surface tension. Annales de l'I.H.P. (C) Non Linear Analysis, 22(6):753-781, 2005. preprint
   
• Laws for the capillary pressure in a deterministic model for fronts in porous media. SIAM J. Math. Anal. 36, no. 5, 1489-1521, 2005.
   
• A stochastic model for fronts in porous media. Ann. Mat. Pura Appl. (4), 184, no. 3, 375-393, 2005.
   

  before 2005

• A stable time discretization of the Stefan problem with surface tension, SIAM J. Numer. Anal. 40:1184-1205, 2003.
   
• A priori estimates for the Euler equation with a free boundary. Proceedings of the equadiff 2003.
   
• Bifurcation approach to viscous water waves and connections to inviscid theories. Proceedings of the equadiff 2003.
   
• Laws for the Capillary Pressure via the Homogenization of Fronts in Porous Media. Habilitationsschrift, 2002.
   
• Homogenization of a free boundary problem: The no-slip condition. In N. Antonic et al., editor, Proceedings of the Dubrovnik conference: Multiscale problems in science and technology, Springer, 2002.
   
• Bifurcation Analysis for Surface Waves Generated by Wind, SIAM J. Appl. Math. 62:407-423, 2001.
   
• Modelling the dynamic contact angle, In W. Jäger et al., editor, Partial differential equations, Theory and numerical solution, number 406 in Research Notes in Mathematics. Chapman and Hall, 2000.
   
• Uniform estimates in two periodic homogenization problems, Comm. Pure Appl. Math. 53:1153-1179, 2000.
   
• Homogenization of a fluid problem with a free boundary, Comm. Pure Appl. Math. 53:1118-1152, 2000.
   
• A well-posed model for dynamic contact angles, Nonlinear Analysis TMA 43:109-125, 2001.
   
• A two-component flow with a viscous and an inviscid fluid, Comm. in PDE 25:887-901, 2000.
   
• Free Boundary Fluid Systems in a Semigroup Approach and Oscillatory Behavior, SIAM J. Math. Anal. 28:1135-1157, 1997.
   
• Oscillatory Behavior of Liquid Drops, Dissertation, Universität Heidelberg, 1995.
   
• Quasilinear Wave Equations and Stability of Minimal Surfaces, Analysis 14:393-414, 1994.