Proyecciones: Journal of Mathematics\([0-9]{4}\)https://revistaschilenas.uchile.cl/handle/2250/421312026-10-03T00:51:11Z2026-10-03T00:51:11ZWeighted homogeneous map germs of corank one from C³ to C³ and polar multiplicitieshttps://revistaschilenas.uchile.cl/handle/2250/2565152026-09-25T13:07:12ZWeighted homogeneous map germs of corank one from C³ to C³ and polar multiplicities
For quasi-homogeneous and finitely determined corank one map germs f : (C³,0)?(C³,0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes for 7, to resolve the problem that decides the Whitney equisingularity of families of such maps germs. To finalize use these formulae to increase the list of invariants of some normal forms of f.
Critical points theorems and applicationshttps://revistaschilenas.uchile.cl/handle/2250/2565162026-09-25T13:07:12ZCritical points theorems and applications
Periodic strong solutions of the magnetohydrodynamic type equationshttps://revistaschilenas.uchile.cl/handle/2250/2565132026-09-25T13:07:12ZPeriodic strong solutions of the magnetohydrodynamic type equations
We obtain, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of periodic strong solutions for the magnetohydrodynamic type equations.
The homotopy type of invariant control sethttps://revistaschilenas.uchile.cl/handle/2250/2565142026-09-25T13:07:12ZThe homotopy type of invariant control set
Let G be a noncompact semi-simple Lie group, consider S a semigroup which contains a large Lie semigroup. We computer the homotopy type ??(C), where C is the invariant control set of the homogeneous space G=P with P ? G a parabolic subgroup of G.