A free boundary stationary magnetohydrodynamic problem in connection with the electromagnetic casting process

• Autorzy: Tomasz Roliński
• Języki publikacji: EN

Abstrakty

EN

We investigate the behaviour of the meniscus of a drop of liquid aluminium in the neighbourhood of a state of equilibrium under the influence of weak electromagnetic forces. The mathematical model comprises both Maxwell and Navier-Stokes equations in 2D. The meniscus is governed by the Young-Laplace equation, the data being the jump of the normal stress. To show the existence and uniqueness of the solution we use the classical implicit function theorem. Moreover, the differentiability of the operator solving this problem is established.

Słowa kluczowe

EN

free boundary; local existence and uniqueness; implicit function theorem; steady plane magnetohydrodynamics; electromagnetic casting

Kategorie tematyczne

• 76W05: Magnetohydrodynamics and electrohydrodynamics
• 76D05: Navier-Stokes equations
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 61
• Numer: 3
• Strony: 195-223

Daty

wydano

1995

otrzymano

1993-03-03

poprawiono

1993-05-30

poprawiono

1994-12-27

Twórcy

autor

Tomasz Roliński

• Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warszawa, Poland

Bibliografia

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