Applications of singularity theory: differential geometry and algebraic geometry
Qualitative theory of differential equations and singularity theory
Numerical solution of elliptic equations by compact finite difference method
| Full text | |
| Author(s): |
Perez, Otavio Henrique
;
Da Silva, Paulo Ricardo
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 179, p. 31-pg., 2022-08-09. |
| Abstract | |
We present a constructive and self-contained proof for a theorem of resolution of singularities for real analytic constrained differential systems of the form A(x) x over dot = F(x) defined on a 2-manifold with corners having impasse set {x; det A(x) = 0}. This result can be seen as a generalization of the classical one for 2-dimensional real analytic vector fields. Our approach does not require general results from algebraic geometry. (C) 2022 Elsevier Masson SAS. All rights reserved. (AU) | |
| FAPESP's process: | 18/24692-2 - Singular impasse manifolds and flows on invariant surfaces |
| Grantee: | Otavio Henrique Perez |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/22310-0 - Discontinuous foliations and impasses |
| Grantee: | Otavio Henrique Perez |
| Support Opportunities: | Scholarships in Brazil - Doctorate |