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Stationary solutions for the Swift-Hohenberg equation in non-uniform backgrounds. (English) Zbl 0850.76505

MSC:

76M99 Basic methods in fluid mechanics
35Q35 PDEs in connection with fluid mechanics

References:

[1] H. Riecke and H.-G. Paap , Perfect Wave-Number Selection and Drifting Patterns in Ramped Taylor Vortex Flow , Phys. Rev. Lett. , Vol. 59 , 1987 , pp. 2570 - 573 .
[2] H. Riecke , Pattern Selection by Weakly Pinning Ramps , Europhys. Lett. , Vol. 2 , 1986 , pp. 1 - 8 .
[3] P. Collet and J.-P. Eckmann , Instabilities and Fronts in Extended Systems , Princeton University Press , 1990 . MR 1109707 | Zbl 0732.35074 · Zbl 0732.35074
[4] L. Ning , G. Ahlers and D.S. Cannell , Wave-Number Selection and Travelling Vortex Waves in Spatially Ramped Taylor-Couette Flow , Phys. Rev. Lett. , Vol. 64 , 1990 , pp. 1235 - 1238 .
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