Original scientific paper
Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation
Sanja Marušić
Abstract
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.
Keywords
compressible Reynolds equation; existence of weak solution; uniqueness; non regularity of the pressure
Hrčak ID:
12598
URI
Publication date:
31.5.2007.
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