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Order parameter and amplitude equations for the Rayleigh-Bénard convection

W. Decker, W. Pesch

J. Phys. II France, 4 3 (1994) 419-438

DOI: https://doi.org/10.1051/jp2:1994137

Citations de cet article :

NONPOTENTIAL EFFECTS IN NONLINEAR DYNAMICS OF MARANGONI CONVECTION

A. A. GOLOVIN, A. A. NEPOMNYASHCHY and L. M. PISMEN
International Journal of Bifurcation and Chaos 12 (11) 2487 (2002)
DOI: 10.1142/S021812740200600X
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Rayleigh–Bénard convection in the presence of spatial temperature modulations

G. FREUND, W. PESCH and W. ZIMMERMANN
Journal of Fluid Mechanics 673 318 (2011)
DOI: 10.1017/S0022112010006270
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Spiral-defect chaos: Swift-Hohenberg model versus Boussinesq equations

Rainer Schmitz, Werner Pesch and Walter Zimmermann
Physical Review E 65 (3) 037302 (2002)
DOI: 10.1103/PhysRevE.65.037302
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Existence and Homogenization of the Rayleigh-Bénard Problem

Björn Birnir and Nils Svanstedt
Journal of Nonlinear Mathematical Physics 7 (2) 136 (2000)
DOI: 10.2991/jnmp.2000.7.2.3
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Mathematical analysis of sideband instabilities with application to rayleigh-bénard convection

A. Mielke
Journal of Nonlinear Science 7 (1) 57 (1997)
DOI: 10.1007/BF02679126
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Weakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken Isotropy

A. G. Rossberg, A. Hertrich, L. Kramer and W. Pesch
Physical Review Letters 76 (25) 4729 (1996)
DOI: 10.1103/PhysRevLett.76.4729
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Hexagons and spiral defect chaos in non-Boussinesq convection at low Prandtl numbers

Santiago Madruga and Hermann Riecke
Physical Review E 75 (2) 026210 (2007)
DOI: 10.1103/PhysRevE.75.026210
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Spatiotemporal complexity of electroconvection patterns in nematic liquid crystals

Alexei Krekhov, Bernd Dressel, Werner Pesch, Vladimir Delev and Eduard Batyrshin
Physical Review E 92 (6) (2015)
DOI: 10.1103/PhysRevE.92.062510
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Handbook of Dynamical Systems

Alexander Mielke
Handbook of Dynamical Systems 2 759 (2002)
DOI: 10.1016/S1874-575X(02)80036-4
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Direct transition to electroconvection in a homeotropic nematic liquid crystal

Á. Buka, B. Dressel, L. Kramer and W. Pesch
Chaos: An Interdisciplinary Journal of Nonlinear Science 14 (3) 793 (2004)
DOI: 10.1063/1.1774412
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Complex spatiotemporal convection patterns

W. Pesch
Chaos: An Interdisciplinary Journal of Nonlinear Science 6 (3) 348 (1996)
DOI: 10.1063/1.166194
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Recent Developments in Rayleigh-Bénard Convection

Eberhard Bodenschatz, Werner Pesch and Guenter Ahlers
Annual Review of Fluid Mechanics 32 (1) 709 (2000)
DOI: 10.1146/annurev.fluid.32.1.709
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Mechanics: From Theory to Computation

A. Mielke
Mechanics: From Theory to Computation 335 (2000)
DOI: 10.1007/978-1-4612-1246-1_13
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Evolution of Spontaneous Structures in Dissipative Continuous Systems

W. Pesch and U. Behn
Lecture Notes in Physics, Evolution of Spontaneous Structures in Dissipative Continuous Systems 55 335 (1998)
DOI: 10.1007/3-540-49537-1_8
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Evolution of Spontaneous Structures in Dissipative Continuous Systems

Gerhard Dangelmayr and Lorenz Kramer
Lecture Notes in Physics, Evolution of Spontaneous Structures in Dissipative Continuous Systems 55 1 (1998)
DOI: 10.1007/3-540-49537-1_1
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Dynamics of Spatio-Temporal Cellular Structures

Paul Manneville
Springer Tracts in Modern Physics, Dynamics of Spatio-Temporal Cellular Structures 207 41 (2006)
DOI: 10.1007/978-0-387-25111-0_3
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Pattern Formation in Liquid Crystals

Werner Pesch and Lorenz Kramer
Partially Ordered Systems, Pattern Formation in Liquid Crystals 69 (1996)
DOI: 10.1007/978-1-4612-3994-9_3
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