SHI Wei-hui, WANG Yue-peng. Stability of Theoretical Model for Catastrophic Weather Prediction[J]. Applied Mathematics and Mechanics, 2007, 28(4): 497-504.
Citation: SHI Wei-hui, WANG Yue-peng. Stability of Theoretical Model for Catastrophic Weather Prediction[J]. Applied Mathematics and Mechanics, 2007, 28(4): 497-504.

Stability of Theoretical Model for Catastrophic Weather Prediction

  • Received Date: 2005-01-20
  • Rev Recd Date: 2006-12-12
  • Publish Date: 2007-04-15
  • Stability related to theoretical model for catastrophic weather prediction that includes non-hydrostatic perfect elastic model, anelastic model was discussed and analyzed in detail. It was proved that in infinitely differentiable function class non-hydrostatic perfect elastic equations set is stable. However, for anelastic equations set, its continuity equation is changed in form because of the particular hypothesis for fluid, so/the matching consisting of both viscosity coefficient and incompressible assumption-appears, thereby the most important equations set of this class in practical prediction shows the same instability in topological property as Navier-Stokes equation, which should be avoided first in practical numerical prediction. In light of this, the referenced suggestions to amend applied model are finally presented.
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