Publications of
Ben Schweizer:
Please note that
preprints in general differ from the published
version.
- 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)
- The Richards equation with hysteresis and degenerate capillary
pressure. J. Differential
Equations 252, p. 5594-561, 2012 preprint
- 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
- 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
- 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 Lp estimates in
homogenization theory. Annali di
Matematica Pura ed
Applicata, 188(3), 399, 2009. preprint
- 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.