Boundary value problems with a free boundary in the theory of stationary filtration

• Autorzy: T. Desperat
• Języki publikacji: EN

Abstrakty

PL

Artykuł nie zawiera streszczenia

EN

From the text: "The problem of steady-state filtration in porous media leads to a boundary value problem with a free boundary for  a linear differential equation of elliptic type. C. Baiocchi [Ann. Mat. Pura Appl. (4) 92 (1972), 107–127; MR0408443] proposed a new technique for solving such problems. Not only does this technique permit one to obtain theoretical results which are rigorous from the mathematical point of view, but it is also useful in applications. The main idea consists in reducing the boundary value problem to a certain variational inequality. This technique was first applied to the solution of a basic model problem, but subsequently its applications were broadened and it was applied to more general cases.  In this essay we offer the reader a compact presentation of the fundamental results derived in this area during the last few years."

Słowa kluczowe

EN

Flows in porous media,filtration,seepage; Variational methods for second-order elliptic

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1978
• Tom: 6
• Numer: 12

Daty

wydano

1978

online

1978-11-01

Twórcy

autor

T. Desperat

Identyfikatory

DOI

10.14708/ma.v6i12.1317