Naslov
3-D flow of a compressible viscous micropolar fluid with spherical symmetry : exponential stability of the solution

Autori
Dražić, Ivan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
4th Najman conference on spectral problems for operators and matrices : abstracts / - , 2015

Skup
Najman conference on spectral problems for operators and matrices (4 ; 2015)

Mjesto i datum
Opatija, Hrvatska, 20.09.2015. - 25.09.2015

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
micropolar fluid; generalized solution; spherical symmetry; exponential stability; C0-semigroup

Sažetak
We consider the non-stationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain that is the subset of R^3 bounded with two concentric spheres that present solid thermo-insulated walls. Under the assumption that the fluid is perfect and polytropic in the thermodynamical sense as well as that the initial density and temperature are strictly positive and that the initial data are sufficiently smooth spherically symmetric functions, the corresponding problem with homogeneous boundary data has a unique generalized solution for any time interval [0, T], T∈R+. In this work we prove that the generalized solution of the described problem define a nonlinear C0-semigroup S(t) and show that the semigroup S(t) is exponentially stable.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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