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Singularities in complex interface dynamics
Saffman Taylor finger problem with thin film effects
Growth of nonreflection symmetric patterns
35 other sections not shown
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acoustic aggregate Amar amplitude analytical anisotropy Argoul asymptotic Bloch wall boundary conditions branch bubbles calculated cellular clusters coefficient combustion constant convection corresponding crystal curvature dendritic crystal dendritic growth density depends diffusion dimension dimensionless directional solidification dynamics effects equation equilibrium experimental experiments facet field finger flame front fluctuations fluid fractal fractal dimension frequency function geometry gradient growing Growth and Form growth process growth velocity heat instability interaction interface kinetic lattice layer Lett limit linear liquid magma marginal stability nonlinear observed obtained oscillations parameter pattern Peclet Peclet number Pelce phase Phys physical pivalic acid planar plot predicted premixed flames problem propagating radius regime region Saffman Saffman-Taylor self-affine shape shown sidebranches simulations solid solutions spiral stability steady structure supercooling surface energy surface tension symmetry temperature term theoretical theory thermal transition tube undercooling unit circle viscous wave wavelength zero