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 nonlinear instability Nonlinear instability of a thin cylindrical layer of liquid Nonlinear instability of a spontaneously radiating shock wave Nonlinear instability of a stratified-fluid layer of finite depth In the second case, the nonlinear instability dynamics can only be studied numerically. A numerical analysis of the nonlinear instability of shock waves is presented for solid deuterium and for a model medium described by a properly constructed equation of state. By eliminating the constriction of quantitative stability, there exist peculiar information and periodicity under nonlinear instability. Nonlinear instability research of longitudinal structure generated by roughness in unswept wing boundary layer The computation of nonlinear instability for multilayer composite cylindrical shells In this paper, a set of variational formulas of solving nonlinear instability critical loads are established from the viewpoint of variational principle. The paper shows that it is very convenient to solve nonlinear instability critical load by using the variational formulas suggested in this paper. The modification is due to a Stokes wall layer and it can cause severe linear and nonlinear instability. Through the justification of highly oscillating Wentzel-Kramers-Brillouin expansions, we prove the nonlinear instability of such flows. Nonlinear Instability in Gravitational Euler-Poisson Systems for $$\gamma=\frac{6}{5}$$ Inspired by Rein's stability result for $$\gamma >amp;gt; \frac{4}{3}$$, we prove the nonlinear instability of steady states for the adiabatic exponent $$\gamma=\frac{6}{5}$$ under spherically symmetric and isentropic motion. We provide a new simple proof for well-posedness for velocities in and linear and nonlinear instability results using transport techniques. A nonlinear instability for 3×3 systems of conservation laws Nonlinear Instability in Two Dimensional Ideal Fluids: The Case of a Dominant Eigenvalue Nonlinear Instability for the Navier-Stokes Equations It is proved, using a bootstrap argument, that linear instability implies nonlinear instability for the incompressible Navier-Stokes equations in Lp for all p ∈ (1,∞) and any finite or infinite domain in any dimension n. This nonlinear instability process leads to some fundamental changes in the topology of flows.

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2008 CNKI－中国知网

2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社