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Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation

Sanja Marušić


Puni tekst: engleski pdf 106 Kb

str. 95-100

preuzimanja: 643

citiraj


Sažetak

In this paper we construct the solution of the Dirichlet
problem for a mono-dimensional compressible Reynolds equation and
we prove its uniqueness. The solution is smooth, if the total mass of
the fluid is sufficiently large, but it is not regular if the total mass is
insufficient. The reason for such deterioration of the solution is vacuum that appears in part of the domain.

Ključne riječi

compressible Reynolds equation; existence of weak solution; uniqueness; non regularity of the pressure

Hrčak ID:

12598

URI

https://hrcak.srce.hr/12598

Datum izdavanja:

31.5.2007.

Posjeta: 1.133 *