On the Stability of Viscous-Dispersive Fronts
نویسندگان
چکیده
We consider the class of viscous-dispersive and higherorder conservation laws. We generalize the work of Kawashima & Shizuta, and others, by extending to higher-order the notions of symmetrizability, strict dissipativity, and genuine coupling. We prove, for symmetrizable systems, that strict dissipativity is equivalent to both (i) genuine coupling and (ii) the existence of a skewsymmetric compensating function.
منابع مشابه
A General Rule for the Influence of Physical Damping on the Numerical Stability of Time Integration Analysis
The influence of physical damping on the numerical stability of time integration analysis is an open question since decades ago. In this paper, it is shown that, under specific very general conditions, physical damping can be disregarded when studying the numerical stability. It is also shown that, provided the specific conditions are met, analysis of structural systems involved in extremely hi...
متن کاملViscous and Inviscid Stability of Multidimensional Planar Shock Fronts
We explore the relation between viscous and inviscid stability of multi-dimensional shock fronts, by studying the Evans function associated with the viscous shock proole. Our main result, generalizing earlier one-dimensional calculations, is that the Evans function reduces in the long-wave limit to the Kreiss{Sakamoto{ Lopatinski determinant obtained by Majda in the inviscid case, multiplied by...
متن کاملDouble diffusive reaction-convection in viscous fluid layer
In the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. Linear and nonlinear stability analysis have been performed. For linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated Fourier serie...
متن کاملLong-time Behavior of Scalar Viscous Shock Fronts in Two Dimensions
We prove nonlinear stability in L 1 of planar shock front solutions to a viscous conservation law in two spatial dimensions, and obtain an expression for the asymptotic form of small perturbations. The leading-order behavior is shown rigorously to be governed by an eeective diiusion coeecient depending on forces transverse to the shock front. The proof is based on a spectral analysis of the lin...
متن کاملDynamic and Stability Analysis of Flexible Cam-Follower Systems
In this paper, dynamic and stability analysis of a flexible cam-follower system is investigated. Equation of motion is derived considering flexibility of the follower and camshaft. Viscous and Coulomb frictions are considered in the rocker arm pivot. The normalized equation of motion of the system is a 2nd- order differential equation with periodic coefficients. Floquet theory is employed to s...
متن کامل