Publications


Last update of this page: 4/2016.


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1. Diploma and Ph.D. thesis (unpublished)

  Zur Quantenmechanik der Boltzmanngleichung
  (with K. Hepp)
  Diploma thesis, ETH-Zürich, (1980)
   
 
Sur l'équation fonctionnelle
  (with J.-P. Eckmann)
  Ph.D. Thesis. Geneva, Thèse N° 2125, (1984)
   

2. Conference proceedings

  Remark on additive and multiplicative renormalization
  (with J.-P. Eckmann)
  Les Houches Summer School, (1984)
   
  Computing Bounds on Critical Indices
  (with H. Koch)
  In "Nonlinear Evolution and Chaotic Phenomena"
(Edited by Giovanni Gallavotti and Paul Zweifel)
Nato ASI Series, Series B: Physics, Vol. 176, Plenum Press
   
  Rigorous Computer-Assisted Renormalization Group Analysis
  (talk presented by  H. Koch)
  5th International Congress on Mathematical Physics, Juli 16-25, 1986, Marseille, France
(M. Mebkhout, R. Sénéor, editors)
World Scientific Publishing Co., Singapore, (l986)
   
  The Unstable Manifold of a Nontrivial Renormalization Group Fixed Point
  (talk presented by  H. Koch)
  In "Mathematical Quantum Field Theory and Related Topics
Proceedings of the 1987 Montréal Conference, September 1-5, (1987)
   
  Computation of Airfoils at Very Low Reynolds Numbers
  (talk presented by D. Bichsel)
  Proceedings of the 2007 COMSOL Conference, Grenoble October 23-24
  Preprint Geneva (2007)
   
  Model reduction and validation for exterior flow problems - an HPC challenge
  (talk presented by Vincent Heuveline)
  Para 2008, 9th International Workshop on State-of-the-Art in Scientific and Parallel Computing,
 
Trondheim, Norway, May 13-16 2008
  Preprint (2008)
   
  A General Closed-Form Solution to Multi-Port Scattering Parameter Calculations
  (talk presented by P. J. Pupalaikis)
  72nd ARFTG  Microwave Measurement Symposium, Fall 2008
 
Jantzen Beach,  Portland, OR December 9-12 2008
  Conference proceedings (2008)
   
  Graviton production in brane worlds by the dynamical Casimir effect
  (talk presented by R. Durrer)
  Spanish Relativity Meeting - ERE 2008
 
Salamanca, Spain, Septemebr 2008
  Preprint 2009
   
  Numerical Aspects of the Implementation of Artificial Boundary Conditions for Laminar Fluid-Structure Interactions
  (talk presented by Ch. Boeckle)
  Conférence COMSOL Milan 2012
 
Milan, Italy, Otcober 2012
  Paper, Poster, Talk
   
  On the stability of the Jeffery-Hamel problem
  (talk presented by J. Guillod)
  Instabilities in Hydrodynamics 2012
 
Institut Henri Poincaré, Paris, France, August 2012
  Talk
   

3. Books

  Computer methods and Borel summability applied to Feigenbaum's equation
  (with J.-P. Eckmann)
  Lecture Notes in Physics, No 227, (1985)
   

4. Publications in international journals

1. Intermittency in the presence of noise
  (with J.-P. Eckmann and L. Thomas)
  Journal of Physics A14, 3153, (1981)
   
2. Existence of a fixed point of the doubling transformation for area preserving maps of the plane
  (with J.-P. Eckmann and H. Koch)
  Journal of Physics A/R, 720, (1982)
   
3. A computer-assisted proof of universality for area-preserving maps
  (with J.-P. Eckmann and H. Koch)
  Memoirs of the American Mathematical Society, 47, 289, (1984)
   
4. Fixed points of Feigenbaum's type for the equation
  (with J.-P. Eckmann and H. Epstein)
  Commun. Math. Phys, 93, 495-516, (1984)
   
5. Sur un cas limite de l'équation de Cvitanovic-Feigenbaum
  (with J.-P. Eckmann)
  C.R. Acad. Sc. Paris 299I, 113, (1984)
   
6. A Non-Gaussian Renormalization Group Fixed Point for Hierarchical Scalar Lattice Field Theories
  (with H. Koch)
  Commun. Math. Phys. 106, 495-532, (1986)
   
7. A Complete Proof of the Feigenbaum Conjectures
  (with J.-P. Eckmann)
  Journal of Statistical Physics, 46, 455-575, (1987)
   
8. Localization for a Class of One Dimensional Quasi-Periodic Schrödinger Operators
  (with J. Fröhlich and T. Spencer)
  Commun. Math. Phys. 132, 5-25, (1990)
   
9. On the Renormalization Group Transformation for Scalar Hierarchical Models
  (with H. Koch)
  Preprint, Geneva (1991)
  Commun. Math. Phys. 138, 537-568, (1991)
   
10. Asymptotics of Solutions in a A+B->C Reaction-Diffusion System
  (with A. Schenkel and J. Stubbe)
  Preprint, Geneva (1992)
  Physica D 69, 135-147, (1993)
   
11. A Nontrivial Renormalization Group Fixed Point for the Dyson-Baker Hierarchical Model
  (with H. Koch)
  Preprint, Geneva (1993)
  Commun. Math. Phys. 164, 627-647, (1994)
   
12. Bounds on the Zeros of a Renormalization Group Fixed Point
  (with H. Koch)
  Preprint, Geneva (1995)
  MPEJ, Vol. 1, No. 6, (1995)
   
13. Computer-Assisted Proofs in Analysis and Programming in Logic: A Case Study
  (with A. Schenkel and H. Koch)
  Preprint, Geneva (1994)
  SIAM Review, Vol. 38, No. 4, pp. 565-604, (1996)
   
14. Geometric Stability Analysis for Periodic Solutions of the Swift-Hohenberg Equation
  (with J.-P. Eckmann and G. Wayne)
  Preprint, Geneva (1996)
  Comm. Math. Phys. 190, 173-211, (1997)
  The original publication is available on LINK at http://link.springer.de
  Copyright with Springer-Verlag.
   
15. A Renormalization Group for Hamiltonians: Numerical Results
  (with J. J. Abad and H. Koch)
  Preprint, Geneva (1998)
  Nonlinearity 11, 1185-1194, (1998)
   
16. Asymptotics of solutions in nA+nB->C reaction-diffusion systems
  (with G. van Baalen and A. Schenkel)
  Preprint, Geneva (1999)
Comm. Math. Phys. 210, 145-176, (2000)
  The original publication is available on LINK at http://link.springer.de
  Copyright with Springer-Verlag.
   
17. Computer-Assisted Proofs for Fixed Point Problems in Sobolev Spaces
  (with A. Schenkel and J. Wehr)
  Preprint, Geneva (1999):
  preprint.ps (725KB), preprint.pdf (558KB), supplement.zip (1508KB)
MPEJ, Vol.6, No. 3, (2000)
The original publication is available at MPEJ.
  Copyright with MPEJ.
   
18. Renormalization group analysis of Hamiltonian flows
  (with J. J. Abad and H. Koch)
  Preprint, Geneva (2000)
   Proceedings of the XIII-th International Congress on Mathematical Physics,
A. Fokas, A. Grigoryan, T. Kibble, B. Zegarlinski (eds.),
International Press, Boston (2002).
   
19. On the structure of stationary solutions of the Navier-Stokes equations
  Preprint, Geneva (2001)
  Comm. Math. Phys. 226, 455-474, (2002) 
The original publication is available on LINK at http://link.springer.de
Copyright with Springer-Verlag.
   
20. Supplement
On the structure of stationary solutions of the Navier-Stokes equations
  Preprint, Geneva (2002)
  Comm. Math. Phys. 234, 557-565, (2003) 
The original publication is available on LINK at http://link.springer.de
Copyright with Springer-Verlag.
   
21. Some exact results for Boltzmann's annihilation dynamics
(with F. Coppex, M. Droz, J. Piasecki, E. Trizac)
  Preprint, Geneva (2003)
  Physical Review E 67, 021103, (2003)
   The original publication is available on http://pre.aps.org
   Copyright with the American Physical Society.
   
22. Adaptive boundary conditions for exterior flow problems
(with S. Bönisch, V. Heuveline)
  Preprint, Heidelberg/Geneva (2003)
  Journal of Mathematical Fluid Mechanics 7 (2005) 85-107
  The original publication is available on LINK at http://link.springer.de
  Copyright with Birkhäuser Verlag.
   
23. Leading order down-stream asymptotics of non-symmetric stationary Navier-Stokes flows in two dimensions
(with F. Haldi)
  Preprint, Geneva (2003)
  Journal of Mathematical Fluid Mechanics 7 (2005) 611-648
  The original publication is available on LINK at http://link.springer.de
  Copyright with Birkhäuser Verlag.
   
24. Leading order down-stream asymptotics of stationary Navier-Stokes flows in three dimensions
  Preprint, Geneva (2003)
  Journal of Mathematical Fluid Mechanics 8 (2006) 147-186
  The original publication is available on LINK at http://link.springer.de
  Copyright with Birkhäuser Verlag.
   
25. Second order adaptive boundary conditions for exterior flow problems: non-symmetric stationary flows in two dimensions
  Preprint, Heidelberg/Geneva (2004)
  Journal of Mathematical Fluid Mechanics 9 (2007) 1-26
  The original publication is available on LINK at http://link.springer.de
  Copyright with Birkhäuser Verlag.
   
26. Stationary flow past a semi-infinite flat plate: analytical and numerical evidence for a symmetry-breaking solution
  (with D. Bichsel)
  Preprint, Geneva (2005)
  Journal of Statistical Physics, 127, 1 (2007) 133-170
  The original publication is available on LINK at http://link.springer.de
  Copyright with Springer-Verlag.
   
27. Simulating an exterior domain for drag force computations in the lattice Boltzmann method
  (with Jonas Latt, Yannick Grillet, Bastien Chopard)
  Preprint, Geneva (2005)
  Mathematics and Computers in Simulation 72 (2006) 169-172
  The original publication is available on LINK at http://www.sciencedirect.com
   
28.

On the vorticity of the Oseen problem in a half plane

  (with Matthieu Hillairet)
  Preprint, Geneva (2007)
  Physica D: Nonlinear Phenomena 237 (2008) 1388-1421
  The original publication is available on LINK at http://www.sciencedirect.com
   
29.

Graviton production in anti-de Sitter braneworld cosmology: A fully consistent treatment of the brane motion

  (with Marcus Ruser, Ruth Durrer, Marc Vonlanthen)
  Preprint, Geneva (2009)
  Physical Review D 79, 083529 (2009)
  The original publication is available on LINK at http://scitation.aip.org/
   
30.

Existence of stationary solutions of the Navier-Stokes equations in two dimensions in the presence of a wall

  (with Matthieu Hillairet)
  Preprint, Geneva (2008)
  Journal of Evolution Equations 9, (2009)
  The original publication is available on LINK at http://link.springer.de
   
31.

Adaptive boundary conditions for exterior stationary flows in three dimensions

  (with Vincent Heuveline)
  Preprint, Geneva (2008)
  Journal of Mathematical Fluid Mechanics 12 (2010) 554-575
  The original publication is available on LINK at http://link.springer.de
   
32.

Exterior flows at low Reynolds numbers: concepts, solutions, and applications

  (with Vincent Heuveline)
  Preprint, Geneva (2007)
  Contemporary Challenges in Mathematical Fluid Mechanics and its Applications,  Vol. 1, Fundamental Trends in Fluid-Structure interaction. World Scientific 2010. Giovanni P. Galdi, Rolf Rannacher, editors.
   
33. Time periodic solutions of the Navier-Stokes equation with nonzero constant boundary conditions at infinity
  (with Guillaume van Baalen)
  Preprint, Geneva (2010)
  SIAM Journal on Mathematical Analysis Vol. 43, No. 4, pp. 1787-1809
  The original publication is available on LINK at http://epubs.siam.org/sima/
   
34. Leading order asymptotics of stationary Navier-Stokes flows in the presence of a wall
  (with Zhengguang Guo and Yong Zhou)
  Preprint, Geneva (2010)
  M3AS: Mathematical Models and Methods in Applied Sciences Vol. 22, No. 3 (2012) 1150018 (31 pages)
  The original publication is available on LINK at http://www.worldscinet.com/
   
35. Decay estimates for steady solutions of the Navier-Stokes equations in two dimensions in the presence of a wall
  (with Christoph Boeckle)
  Preprint, Geneva (2011)  
  SIMA: SIAM J. MATH. ANAL., Vol. 44, No. 5, pp. 3346–3368
  The original publication is available on LINK at http://epubs.siam.org/sima/
   
36. Asymptotic description of solutions of the exterior Navier Stokes problem in a half space
  (with Matthieu Hillairet)
Preprint, Geneva (2011)
  Arch. Rational Mech. Anal. 205 (2012) 553–584
  The original publication is available on LINK at http://link.springer.de
   
37. Regularity issue of the Navier-Stokes equations involving the combination of pressure and velocity field.
  (with Zhengguang Guo and Weiming Wang)
Preprint, Geneva (2010)
  Acta Appl Math (2013) 123:99–112
  The original publication is available on LINK at http://link.springer.de
   
38. Asymptotics of solutions for a basic case of fluid structure interaction
  (with Christoph Boeckle)
Preprint, Geneva (2011)
  Nonlinear Analysis 81 (2013) 159–189
  The original publication is available on LINK at http://www.sciencedirect.com
   
39.

Existence of stationary solutions of the Navier-Stokes equations in the presence of a wall

  (with Zhengguang Guo and Yong Zhou)
Preprint, Geneva (2010)
  Zeitschrift für angewandte Mathematik und Physik ZAMP 64 (2013) 1493-1542
  The original publication is available on LINK at http://www.sciencedirect.com
   
40. Artificial boundary conditions for stationary Navier-Stokes flows past bodies in the half-plane
  (with Christoph Boeckle)
Preprint, Geneva (2012)
  Computers&Fluids  82 (2013) 95-109
  The original publication is available on LINK at http://www.sciencedirect.com
   
41. On the existence of solutions to the planar exterior Navier Stokes system
  (with Matthieu Hillairet)
Preprint, Paris Dauphine (2012)
  Journal of Differential Equations 255 (2013) 2996-3019
  The original publication is available on LINK at http://www.sciencedirect.com
   
42. Asymptotic behaviour of solutions to the stationary Navier-Stokes equations in two dimensional exterior domains with zero velocity at infinity
  (with Julien Guillaud)
Preprint, Geneva (2013)
  Mathematical Models and Methods in Applied Sciences, Volume 25, Issue 02  (2015)
  The original publication is available on LINK
   
43. Generalized scale-invariant solutions to the two-dimensional
stationary Navier-Stokes equations
  (with Julien Guillaud)
Preprint, Geneva (2014)
  SIAM Journal on Mathematical Analysis, Vol. 47, No. 1, pp. 955–968 (2015)
  The original publication is available on LINK
   
44. On the stationary Navier-Stokes equations in the half-plane.
  (with Julien Guillod)
Preprint, Geneva (2015)
  Ann. Henri Poincaré, 17, pp 3287-3329 (2016)
  The original publication is available on LINK
   
45. Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies.
  (with Paul Deuring, Stanislav Kracmar, Sarka Necasova)
JEPE Vol 1, pp. 325-333 (2015)
  The original publication is available on LINK
   
46. Optimal asymptotic behavior of the vorticity of a viscous flow past a two-dimensional body
  (with Julien Guillod)
  Preprint, Geneva (2015)
  J.  Math. Pures Appl. 108, pp.481–499 (2017)
  The original publication is available on LINK
   

5. Accepted for publication

   
   
   
   

6. Preprints

1. Weak-strong uniqueness of solutions to the exterior Navier-Stokes flow in a half space
  (with Zhengguang Guo)
  Preprint, Geneva (2015)
   
2. Existence and uniqueness of steady weak solutions to the Navier-Stokes equations in the R^2.
  (with Julien Guillod)
  Preprint, Geneva (2017)
   

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