Download Communications in Mathematical Physics - Volume 299 by M. Aizenman (Chief Editor) PDF

By M. Aizenman (Chief Editor)

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Extra resources for Communications in Mathematical Physics - Volume 299

Example text

The precise asymptotic limits of the bifurcation threshold, the minimal energy, the droplet radii, and the droplet density are obtained. 1. Introduction Spatial patterns are often a result of the competition between thermodynamic forces operating on different length scales. g. [1]). This process, however, can be frustrated in the presence of long-range repulsive forces. As the droplets grow, the contribution of the long-range interaction may overcome the short-range forces, whereby suppressing further growth.

J. Hyperbolic Differ. Equ. : Pointwise green function bounds for shock profiles of systems with real viscosity. Arch. Ration. Mech. Anal. : Stability of large-amplitude viscous shock profiles of hyperbolicparabolic systems. Arch. Ration. Mech. Anal. : Large-time behaviors of solutions to an inflow problem in the half space for a one-dimensional system of compressible viscous gas. Commun. Math. Phys. : Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems. Memoirs AMS 826, Providence, RI: Amer.

J. Differ. Equ. : Inviscid boundary conditions and stability of viscous boundary layers. Asymptot. Anal. : Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems. Trans. Amer. Math. Soc. : Boundary layer theory. Translated by J. Kestin. 4th ed. McGraw-Hill Series in Mechanical Engineering. : Boundary layer stability in real vanishing-viscosity limit. Commun. Math. Phys. 221(2), 267–292 (2001) 44 [YZ] [Z2] [Z3] [Z4] [ZH] T. Nguyen, K. : Pointwise green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers.

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