Titlebook: Asymptotics beyond All Orders; Harvey Segur,Saleh Tanveer,Herbert Levine Book 1991 Springer Science+Business Media New York 1991 Renormali

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BULLY

Directional Growth of Dilute Mixtures and Lamellar Eutectics tip selection with the theory of a needle-shaped crystal in a channel. The selection of a dendrite is based either on surface tension or kinetics anisotropy. The possibility for the interface to undergo chaotic motion at large growth speeds is discussed. For lamellar eutectics we present recent res

灰心丧气

A Flat Interface and its Unfolding Bifurcationsemperature gradient provided by two thermally regulated copper blocks. The sample consists of a thin layer of liquid crystal (here the 4,4’-.-octylcyanobiphenyl, 8CB) sandwiched between two glass plates. The temperatures are adjusted such that the liquid crystal undergoes a phase transition above th

neolith

Viscous Displacement in a Hele-Shaw Cell in this gap under the action of some imposed pressure gradient or gravity or fluid injection has been the study of intensive research over the last decade. (See Saffman., Bensimon et al., Homsy., Pelee. and Kessler, Koplik & Levine. for reviews from a range of perspectives). This has been spurred b

废墟

Saffman — Taylor Viscous Fingering in a Wedgenomena displayed despite the apparent simplicity of the physical situation. The Saffman — Taylor (ST) instability is perhaps the simplest example of pattern selection. In addition to standard fingers, it displays fractal structures. and even dendritic growth. under anisotropic conditions.These are r

异端邪说2

Exponentially Small Estimates for Separatrix Splittingserturbation parameter ., it is a common . that the quantity being studied (such as a separatrix splitting distance or angle, a solitary wave mismatch, etc.) can be “estimated” by an expression of the form .... as . → 0. Here, . and . are constants (where . can be negative and . is “sharp”, often the