On a Navier-Stokes type equation and inequality

• Autorzy: Giovanni Prouse
• Języki publikacji: EN

Abstrakty

EN

A Navier-Stokes type equation corresponding to a non-linear relationship between the stress tensor and the velocity deformation tensor is studied and existence and uniqueness theorems for the solution, in the 3-dimensional case, of the Cauchy-Dirichlet problem, for a bounded solution and for an almost periodic solution are given. An inequality which in some sense is the limit of the equation is also considered and existence theorems for the solution of the Cauchy-Dirichlet problems and for a periodic solution are stated.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1992
• Tom: 27
• Numer: 2
• Strony: 367-371

Daty

wydano

1992

Twórcy

autor

Giovanni Prouse

• Dipartimento di Matematica del Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy

Bibliografia

• [1] L. Amerio and G. Prouse, Almost-periodic Functions and Functional Equations, Van Nostrand, 1971.
• [2] T. Collini, On a Navier-Stokes type inequality, Rend. Ist. Lomb. Sc. Lett., to appear.
• [3] T. Collini, Periodic solutions of a Navier-Stokes type inequality, ibid., to appear.
• [4] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, 1985.
• [5] A. Iannelli, Bounded and almost-periodic solutions of a Navier-Stokes type equation, Rend. Accad. Naz. Sci. XL, to appear.
• [6] G. Prodi, Un teorema di unicità per le equazioni di Navier-Stokes, Ann. Mat. Pura Appl. 48 (1959), 173-182.
• [7] G. Prouse, On a Navier-Stokes type equation, in: Non-linear Analysis: a Tribute to G. Prodi, Quaderni Scuola Norm. Sup. Pisa, to appear.