. "Astrophysics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "astrohydrodynamics"@en . . "4" . "Part I. Astrophysical applications of fluid dynamics. - Euler’s equations of fluid dynamics, - selfgravitating fluids - Poisson’s equation - sound waves, shock waves, supernova explosions, - fluid instabilities: convective, Raileigh-Taylor, Kelvin-Helmholtz, gravitational and thermal instabilities, - Bernouli’s equation, spherical accretion and winds, - viscous flows, Navier-Stokes equation, Reynolds number, - vorticity equation, Kelvin’s theorem of vorticity conservation, - turbulence and its astrophysical significance, - hydrodynamics of accretion disks, - hydrodynamical processes in star formation activity. Part II. Numerical methods for fluid dynamics. - elements of the theory of partial differential equations, method of characteristics, Riemann problem, Rankine-Hugoniot relations, linear hyperbolic systems - conservative form of hydrodynamics equations, shock waves, rarefaction waves and the solution of Riemann problem in fluid dynamics. - basic numerical methods for partial differential equations, von Neuman stability analysis of numerical schemes, - Riemann solvers and Godunov methods for fluid dynamics." . . "Presential"@en . "TRUE" . . "Master in Physics and Astronomy (PandA)"@en . . "https://www.fizyka.umk.pl/panel/wp-content/uploads/PandA_2022_23.pdf" . "180"^^ . "Presential"@en . "no data"@en . . . "2"@en . "FALSE" . . "Master"@en . "Thesis" . "no tuition, other costs may apply" . "Polish Zloty"@en . "20000.00" . "None" . "Graduates of astronomical and physical studies at the Nicolaus Copernicus University successfully find themselves in doctoral schools in Poland and abroad. They are employed as specialists in research centers, they are valued specialists in the operation of advanced devices and computer systems, they are great at popularizing science. They easily learn new skills, are not afraid of difficult challenges and quickly advance to managerial positions. Equipped with knowledge and methods of exploring both the micro and nano-world, as well as the most distant corners of the cosmos, you will easily find a place for yourself in the world of new technologies."@en . "no data" . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .