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3. Natural convection flows in complex cavities by BEMLeopold Škerget, Matjaž Hriberšek, Zoran Žunič, 2003, original scientific article Abstract: A numerical method for the solution of Navier-Stokes equations is developed using an integral representation of the conservation equations. The velocity- vorticity formulation is employed, where the kinematics is given with the Poisson equation for a velocity vector, while the kinetics is represented with the vorticity transport equation. The corresponding boundary-domain integral equations are presented along with discussions of the kinetics and kinematics of the fluid flow problem. THE BEM formulation is developed and tested for natural convection flows in closed cavities with complex geometries. Keywords: fluid dynamics, natural convection, boundary element method, differential equations, closed cavity Published: 01.06.2012; Views: 764; Downloads: 54 Link to full text |
4. On Groebner bases and their use in solving some practical problemsMatej Mencinger, 2013, original scientific article Abstract: Groebner basis are an important theoretical building block of modern (polynomial) ring theory. The origin of Groebner basis theory goes back to solving some theoretical problems concerning the ideals in polynomial rings, as well as solving polynomial systems of equations. In this article four practical applications of Groebner basis theory are considered; we use Groebner basis to solve the systems of nonlinear polynomial equations, to solve an integer programming problem, to solve the problem of chromatic number of a graph, and finally we consider an original example from the theory of systems of ordinary (polynomial) differential equations. For practical computations we use systems MATHEMATICA and SINGULAR . Keywords: polynomial system of (differential) equations, integer linear programming, chromatic number of a graph, polynomial rings, Groebner basis, CAS systems Published: 10.07.2015; Views: 418; Downloads: 28 Link to full text |
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6. The resonant center problem for a 2:-3 resonant cubic Lotka-Volterra systemJaume Giné, Colin Christopher, Mateja Prešern, Valery Romanovski, Natalie L. Shcheglova, 2012, published scientific conference contribution Keywords: matematika, rezonantni problem centra, polinomski sistemi, diferencialne enačbe, prvi integrali, mathematics, resonant center problem, polynomial systems, differential equations, first integrals Published: 10.07.2015; Views: 451; Downloads: 52 Link to full text |
7. Bifurcations of planar Hamiltonian systems with impulsive perturbationZhaoping Hu, Maoan Han, Valery Romanovski, 2013, original scientific article Abstract: In this paper, by means of the Melnikov functions we consider bifurcations of harmonic or subharmonic solutions from a periodic solution of a planar Hamiltonian system under impulsive perturbation. We give some sufficient conditions under which a harmonic or subharmonic solution exists. Keywords: matematika, Hamiltonski sistemi, diferencialne enačbe, bifurkacija, mathematics, Hamiltonian systems, differential equations, bifurcation Published: 10.07.2015; Views: 371; Downloads: 60 Link to full text |
8. Arendt, Wolfgang; Bu, Shangquan: Tools for maximal regularity. - Math. Proc. Camb. Philos. Soc. 134, no. 2, 317-336 (2003). [ISSN 0305-0042; ISSN 1469-8064]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, teorija operatorjev, navadne diferencialne enačbe, ▫$C_0$▫-polgrupe, maksimalna regularnost, nehomogeni Cauchyjev problem, mathematics, operator theory, ordinary differential equations, ▫$C_0$▫-semigroups, maximal regularity, inhomogeneous Cauchy problem, UMD-space, mild solution Published: 10.07.2015; Views: 326; Downloads: 19 Link to full text |
9. Wang, Linshan; Xu, Daoyi: Asymptotic behavior of a class of reaction-diffusion equations with delays. - J. Math. Anal. Appl. 281, no. 2, 439-453 (2003). [ISSN 0022-247X]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, parcialne diferencialne enačbe, Soboljev prostor, atraktor, mathematics, partial differential equations, time delays, diffusion operator, semigroup operator, Sobolev space, attractor, compact global and connected attractor Published: 10.07.2015; Views: 265; Downloads: 13 Link to full text |
10. Henríquez, Hernán R.: The Kneser property for abstract retarded functional differential equations with infinite delay. - Int. J. Math. Math. Sci. 2003, no. 26, 1645-1661 (2003). [ISSN 0161-1712]Miklavž Mastinšek, 2004, review, book review, critique Keywords: matematika, diferencialne enačbe, Kneserjeva lastnost, zvezna polgrupa, mathematics, functional-differential equations, Kneser property, infinite delay, continuous semigroup, existence, mild solutions Published: 10.07.2015; Views: 312; Downloads: 8 Link to full text |