Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation (CROSBI ID 138338)
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Marušić, Sanja
engleski
Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation
In this paper we construct the solution of the Dirichlet problem for mono-dimensional compressible Reynolds equation and we prove it's 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.
compressible Reynolds equation; existence of weak solution; uniqueness; non regularity of the pressure
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