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Fluid Dynamic Limit to the Riemann Solutions of Euler Equations: I. Superposition of rarefaction waves and contact discontinuity
Fluid Dynamic the Riemann Solutions of Euler Equations
2010/11/15
Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes equations and Boltzmann equation has been an active topic with limited success so far. In this paper, we consider t...
Nearly linear dynamics of nonlinear dispersive waves
Nearly linear dynamics nonlinear dispersive waves
2010/12/14
Dispersive averaging e ects are used to show that KdV equation with periodic boundary conditions possesses high frequency solutions which behave nearly linearly.
Practical use of variational principles for modeling water waves
water waves approximate equations
2010/4/2
This paper describes a method for deriving approximate equations for water waves. The method is based on a `relaxed' variational principle, i.e., on a Lagrangian involving as many variables as possibl...
Existence of pulsating waves in a model of flames in sprays
Existence pulsating waves a model of flames in sprays
2014/4/4
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatia...
Modulated Amplitude Waves and the Transition from Phase to Defect Chaos
Modulated Amplitude Waves Defect Chaos
2010/11/2
The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGL...