Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity

• Autorzy: Consiglieri L. , Necasova S. , Sokolowski J.
• Języki publikacji: EN

Abstrakty

EN

We prove the existence and uniqueness of weak solutions to the variational formulation of the Maxwell-Boussinesq approximation problem. Some further regularity in W1,2+δ, δ > 0, is obtained for the weak solutions. The shape sensitivity analysis by the boundary variations technique is performed for the weak solutions. As a result, the existence of the strong material derivatives for the weak solutions of the problem is shown. The result can be used to establish the shape differentiability for a broad class of shape functionals for the models of Fourier-Navier-Stokes flows under the electromagnetic field.

Słowa kluczowe

EN

magnetohydrodynamic flows; shape sensivity

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 4A
• Strony: 1193--1215
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Consiglieri L.

autor

Necasova S.

autor

Sokolowski J.

• Mathematics Dep/FCUL and CMAF, University of Lisbon 1749-016 Lisboa, Portugal

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