Seminar for Geometry, education and visualization with applications
PROGRAM
MATEMATIČKI INSTITUT SANU
Seminar geometriju, obrazovanje i vizualizaciju sa primenama
PLAN RADA ZA JUN 2019.
ČETVRTAK, 06.06.2019. u 17:15, Matematički institut SANU, sala 301f
Dejan Urosevic, Matematicki Fakultet
SUPERNOVA KROZ ISTORIJU
U ovom izlaganju biće nabrojane sve eksplozije supernovih koje su zabeležene u istorijskim izvorima. Biće posebno naglašeni događaji koji su mogli da budu posmatrani sa severne Zemljine polulopte, pa samim tim i sa teritorije koju zahvata današnja Srbija. Biće pokriven period od poslednja dva milenijuma u kome je zabeleženo desetak ovih spektakularnih astronomskih pojava. Uporedo, prikazaće se kratak društveno-istorijski okvir za svaku od epoha u kojima su se viđale „nove“ zvezde na nebu sa posebnim naglaskom na teritoriju koju obuhvata naša zemlja.
ČETVRTAK, 20.06.2019. u 17:15, Matematički institut SANU, sala 301f
Igor Pažanin, Department of Mathematics Faculty of Science, University of Zagreb
MATHEMATICAL ANALYSIS OF MICROPOLAR FLUID FLOW IN THIN DOMAINS: RIGOROUS DERIVATION OF NEW MODELS
The micropolar fluid model represents an essential generalization of the well- established Navier-Stokes model which takes into account the microstructure of the fluid. It describes the behavior of numerous real fluids (e.g. liquid crystals,blood, muddy fluids, certain polymeric fluids, even water in models with small scales) better than the classical model. The aim of this talk is to present some of our results on the asymptotic approximation of the micropolar fluid flow in thin pipe-like domains. We begin by considering an incompressible micropolar fluid flowing through an undeformed straight pipe and find the effective behavior of the flow via rigorous asymptotic analysis with respect to the pipe’s thickness. Since the engineering practice requires extensive knowledge of curved-pipe flows, we extend our analysis to the case of general curved pipe with an arbitrary central curve. Using differential geometry tools and two-scale asymptotic technique, we construct the approximation explicitly acknowledging the effects of fluid microstructure and pipe’s distortion. We provide the rigorous justification of the obtained effective model by proving the corresponding error estimate. Finally, we also investigate the micropolar fluid flowing through a thin pipe with specific helical shape not entering in the above framework.
Sednice seminara odrzavaju se u zgradi Matematickog instituta SANU, Knez Mihailova 36, na trecem spratu u sali 301f.
Rukovodilac Seminara dr Stana Nikcevic
