The energy{Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Stability criteria for symmetric disturbances to a zonally symmetric baroclinic ow are obtained. In the special case of a perfect gas the results of Stevens (1983) are recovered. Finite amplitude stability conditions are also obtained that provide an upper bound on a certain positive-denite measure of disturbance amplitude. 1
We provide sufficient conditions for nonlinear exponential stability of the compressible Benard prob...
The linear stability properties of basic states relevant to the stratosphere are studied in a barotr...
A method developed by Arnold to prove nonlinear stability of certain steady states for ideal incompr...
The energy–Casimir method is applied to the problem of symmetric stability in the context of a compr...
In this paper we investigate the stability of zonal flow in a baroclinic atmosphere with respect to ...
International audienceSufficient conditions are derived for the linear stability with respect to zon...
Sufficient conditions are derived for the linear stability with respect to zonally symmetric perturb...
It is shown how large-amplitude stability results for flows governed by potential-vorticity conserva...
AbstractNoether's theorem associated with the particle relabeling symmetry group leads us to a unifi...
The so-called 'symplectic method ' is used for studying the linear stability of a self-gra...
We investigate the stability and dynamics of an isolated cloud of gas which is contained by external...
The energy method of Bernstein et al. (1958) was used by Schindler et al. (1983) to derive a useful ...
We consider the system of equations of viscous gas motion whose pressure is related to the density b...
Abstract We construct steady states of the Euler-Poisson system with a barotropic equation of state ...
In the context of hydrodynamic stability of geophysical flows, sufficient stability conditions are o...
We provide sufficient conditions for nonlinear exponential stability of the compressible Benard prob...
The linear stability properties of basic states relevant to the stratosphere are studied in a barotr...
A method developed by Arnold to prove nonlinear stability of certain steady states for ideal incompr...
The energy–Casimir method is applied to the problem of symmetric stability in the context of a compr...
In this paper we investigate the stability of zonal flow in a baroclinic atmosphere with respect to ...
International audienceSufficient conditions are derived for the linear stability with respect to zon...
Sufficient conditions are derived for the linear stability with respect to zonally symmetric perturb...
It is shown how large-amplitude stability results for flows governed by potential-vorticity conserva...
AbstractNoether's theorem associated with the particle relabeling symmetry group leads us to a unifi...
The so-called 'symplectic method ' is used for studying the linear stability of a self-gra...
We investigate the stability and dynamics of an isolated cloud of gas which is contained by external...
The energy method of Bernstein et al. (1958) was used by Schindler et al. (1983) to derive a useful ...
We consider the system of equations of viscous gas motion whose pressure is related to the density b...
Abstract We construct steady states of the Euler-Poisson system with a barotropic equation of state ...
In the context of hydrodynamic stability of geophysical flows, sufficient stability conditions are o...
We provide sufficient conditions for nonlinear exponential stability of the compressible Benard prob...
The linear stability properties of basic states relevant to the stratosphere are studied in a barotr...
A method developed by Arnold to prove nonlinear stability of certain steady states for ideal incompr...