- Tytuł:
- Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity
- Autorzy:
-
Consiglieri, L.
Necasova, S.
Sokolowski, J. - Powiązania:
- https://bibliotekanauki.pl/articles/970891.pdf
- Data publikacji:
- 2009
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
magnetohydrodynamic flows
shape sensivity - Opis:
- 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.
- Źródło:
-
Control and Cybernetics; 2009, 38, 4A; 1193-1215
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł