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On necessary and sufficient conditions for the solvability of the equations rot μ=γ and div μ=ε with μ vanishing on the boundary

Stokes Problems, Vector Potential Theory And Related Problems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1431)

Keywords

  • Vector Field
  • Classical Solution
  • Homogeneous Dirichlet Boundary Condition
  • Exterior Problem
  • Unbounded Component

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References

  1. Bogovskij, M. E.: Solution of the first boundary value problem for the equation of continuity of an incompressible medium. Soviet Math. Doklady 20, 1094–1098(1979).

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© 1990 Springer-Verlag

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von Wahl, W. (1990). On necessary and sufficient conditions for the solvability of the equations rot μ=γ and div μ=ε with μ vanishing on the boundary. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086065

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  • DOI: https://doi.org/10.1007/BFb0086065

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52770-1

  • Online ISBN: 978-3-540-47141-7

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