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84
(1.1) (1.2) NONLINEAR INSTABILITY IN GRAVITATIONAL EULERPOISSON SYSTEM FOR γ = 6
, 2005
"... Abstract. The dynamics of gaseous stars can be described by the EulerPoisson system. Inspired by Rein’s stability result for γ> 4, we prove the 3 nonlinear instability of steady states for the adiabatic exponent γ = 6 5 in spherically symmetric and isentropic motion. 1. ..."
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Abstract. The dynamics of gaseous stars can be described by the EulerPoisson system. Inspired by Rein’s stability result for γ> 4, we prove the 3 nonlinear instability of steady states for the adiabatic exponent γ = 6 5 in spherically symmetric and isentropic motion. 1.
StokesPoisson system:
, 706
"... We establish the local in time wellposedness of strong solutions to the vacuum free boundary problem of the compressible NavierStokesPoisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the LaneEmden star configurations f ..."
Nonadiabatic transitions in multilevel systems
, 1999
"... In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times t → ±∞, the transition probabilities between adiabatic states are exponentially small. They are characterized by an exponent that depends on a phase integral along a path around a set of ..."
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Cited by 5 (0 self)
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In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times t → ±∞, the transition probabilities between adiabatic states are exponentially small. They are characterized by an exponent that depends on a phase integral along a path around a set
ON THE SINGULAR SPECTRUM FOR ADIABATIC QUASIPERIODIC SCHRÖDINGER OPERATORS
, 811
"... Abstract. In this paper we study spectral properties of a family of quasiperiodic Schrödinger operators on the real line in the adiabatic limit. We assume that the adiabatic isoenergetic curve has a real branch that is extended along the momentum direction. In the energy intervals where this happe ..."
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Abstract. In this paper we study spectral properties of a family of quasiperiodic Schrödinger operators on the real line in the adiabatic limit. We assume that the adiabatic isoenergetic curve has a real branch that is extended along the momentum direction. In the energy intervals where
Resonances and adiabatic invariance in classical and quantum scattering theory
, 2004
"... We discover that the energyintegral of timedelay is an adiabatic invariant in quantum scattering theory and corresponds classically to the phase space volume. The integral thus found provides a quantization condition for resonances, explaining a series of results recently found in nonrelativistic ..."
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relativistic and relativistic regimes. Further, a connection between statistical quantities like quantal resonancewidth and classical friction has been established with a classically deterministic quantity, the stability exponent of an adiabatically perturbed periodic orbit. This relation can be employed to estimate the rate
Structure Inversion HareAndHounds
"... We report some results of a hareandhounds exercise for the 1D structure inversion of pmode oscillation frequencies. The exercise was carried out to uncover possible uncertainties in the inversion results, and to test the reliability of the error estimates. The results have demonstrated numerical ..."
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exponent, fl. Without the additional constraint, the most accurate results were obtained for the adiabatic sound speed by the regularized least squares technique. The estimates of the density and the parameter of convective stability are less accurate than the estimates of the sound speeds. The variations
Global existence and largetime behavior of solutions to the threedimensional equations of compressible magnetohydrodynamic flows, submitted for publication
"... Abstract. The threedimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initialboundary value problem is studied in a bounded domain with large data. The existence and largetime behavior of global weak solutions are established through a threelevel approx ..."
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Cited by 21 (8 self)
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level approximation, energy estimates, and weak convergence for the adiabatic exponent γ> 3 and constant viscosity coefficients. 2 1.
On The Singular Spectrum For Adiabatic QuasiPeriodic Schrödinger Operators On The Real Line
"... In this paper, we study spectral properties of a family of quasiperiodic Schrodinger operators on the real line in the adiabatic limit. We assume that the adiabatic isoenergetic curves are extended along the momentum direction. In the energy intervals where this happens, we obtain an asymptoti ..."
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Cited by 6 (1 self)
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In this paper, we study spectral properties of a family of quasiperiodic Schrodinger operators on the real line in the adiabatic limit. We assume that the adiabatic isoenergetic curves are extended along the momentum direction. In the energy intervals where this happens, we obtain
Evidence for a Shallow Superadiabatic Layer
"... this paper is to identify the cause of this surface effect. Figure 2: Scaled frequency residuals in the sense (observations)(model) for a standard model. Data are from LOWL (Tomczyk et al., 1995) (+) and HLH (Bachmann et al., 1995) (4). 3. The Effect of Convection It has been shown by Rosenthal et ..."
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al. (1995) that the effect of convection on nearlyradial oscillations of the Sun can be described by replacing the adiabatic exponent \Gamma 1 in the oscillation equations by an effective reduced exponent \Gamma
Results 1  10
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84