Intuitive
发表于 2025-3-28 15:58:22
https://doi.org/10.1007/978-3-031-47913-7 PDE’s algebraic topology, introduced by A. Prástaro in the geometry of PDE’s, in order to characterize global solutions. In particular it is shown that this theory allows us to identify .-dimensional ., i.e., homotopy spheres that are homeomorphic, but not diffeomorphic to the standard ..
浮夸
发表于 2025-3-28 21:29:20
,The Fox–Li Operator as a Test and a Spur for Wiener–Hopf Theory, operator with an oscillating symbol. Employing theorems from Wiener–Hopf theory one can therefore derive remarkable properties of the Fox–Li operator in a fairly comfortable way, but it turns out that Wiener–Hopf theory is unequal to the task of answering the crucial questions on the Fox–Li operator.
Glycogen
发表于 2025-3-29 00:25:23
,Bifurcations of Solutions of the 2-Dimensional Navier–Stokes System,cate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.
多节
发表于 2025-3-29 05:41:44
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ineptitude
发表于 2025-3-29 09:03:45
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健壮
发表于 2025-3-29 13:17:28
https://doi.org/10.1007/978-3-319-29415-5ic, and Morse-Smale characteristic for circular functions. Section 2 presents examples of pairs with finite φ, and Sect. 3 provides lower estimates for the size of the critical sets in terms of topological dimension. We employ the cardinality when the manifolds admit maps with finitely many critical
FLAX
发表于 2025-3-29 16:27:02
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superfluous
发表于 2025-3-29 22:02:29
R. Johannesson,J. L. Massey,P. Ståhlgeneralized Morse function with an additional structure: a framing of the negative eigenspace at each critical point of .. In (Igusa, Trans Am Math Soc 301(2):431–477, 1987) Igusa proved that the space of framed generalized Morse functions is .-connected. Lurie gave in (arXiv:0905.0465) an algebraic
起草
发表于 2025-3-30 00:55:01
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champaign
发表于 2025-3-30 04:39:50
Hans G. Nutzinger,Jürgen Backhausint of . for some . with . for .. We show using methods based on Puiseux series that for an open dense set of perturbed maps with ., 0 becomes a simple fixed point and a number of periodic orbits of period . appear which are holomorphic in ... We also prove that the unwrapping coordinates for pertur