Original scientific paper
Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation
Sanja Marušić
Full text: english pdf 106 Kb
page 95-100
downloads: 704
cite
APA 6th Edition
Marušić, S. (2007). Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation. Mathematical Communications, 12 (1), 95-100. Retrieved from https://hrcak.srce.hr/index.php/12598
MLA 8th Edition
Marušić, Sanja. "Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation." Mathematical Communications, vol. 12, no. 1, 2007, pp. 95-100. https://hrcak.srce.hr/index.php/12598. Accessed 28 Nov. 2024.
Chicago 17th Edition
Marušić, Sanja. "Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation." Mathematical Communications 12, no. 1 (2007): 95-100. https://hrcak.srce.hr/index.php/12598
Harvard
Marušić, S. (2007). 'Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation', Mathematical Communications, 12(1), pp. 95-100. Available at: https://hrcak.srce.hr/index.php/12598 (Accessed 28 November 2024)
Vancouver
Marušić S. Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation. Mathematical Communications [Internet]. 2007 [cited 2024 November 28];12(1):95-100. Available from: https://hrcak.srce.hr/index.php/12598
IEEE
S. Marušić, "Existence, uniqueness and non-regularity of the solution to the Neumann problem for the mono-dimensional compressible Reynolds equation", Mathematical Communications, vol.12, no. 1, pp. 95-100, 2007. [Online]. Available: https://hrcak.srce.hr/index.php/12598. [Accessed: 28 November 2024]
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
https://hrcak.srce.hr/12598
Publication date:
31.5.2007.
Visits: 1.389
*
