Binding of atoms and stability of molecules in hartree and thomas-fermi type theories. |
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Authors: | I Catto PL Lions |
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Institution: | Ceremade , Université Paris-Dauphine , Place de Lattre de Tassigny, Paris Cedex 16, 75775, France |
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Abstract: | This paper is the fourth of a series devoted to the study of the stability of general molecular systems in Thomas-Fermi or Hartree type models. In the preceding part, we proved the bindingof arbitrary neutral systems for Thomas-Fermi type theories and of planar neutral systems forthe Hartree model. In this part, we manage to get rid of this restriction and thus, prove thebinding and the stability of arbitrary neutral systems for the Hartree model. |
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Keywords: | Euler equations Besov spaces Ideal incompressible fluids Existence of solution |
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