Palestra no dia 16/08: "New trends in Lotka-Volterra diffusive competition" com o prof. Julián López-Gómez, da Universidad Complutense de Madrid (Espanha) Detalhes Publicado: Quarta, 14 Agosto 2024 12:16 Esta semana, o PPGMAT está recebendo a visita do prof. Julián López-Gómez, da Universidad Complutense de Madrid (Espanha), pelo projeto CAPEs PrInt. No dia 16/08/2024 ele irá ministrar uma palestra voltada a toda a comunidade acadêmica. Convidamos a todos para participar. Data: 16/08/2024 Horário: 10:30 Local: Auditório MAT/UnB Título: New trends in Lotka-Volterra diffusive competition Resumo: This talk discusses several recent findings on the dynamics of the spatially-heterogeneous diffusive Lotka-Volterra competing species model. First, it delivers a general (optimal) singular perturbation result generalizing, very substantially, the pioneering theorem of Hutson, López-Gómez, Mischaikow and Vickers (1994) for their mutant model, later analyzed, very sharply, by W. M. Ni and his collaborators. Then, it establishes that, as soon as any steady-state solution of the non-spatial model is linearly unstable somewhere in the inhabiting territory, $\Omega$, any steady state of the spatial counterpart perturbing from it therein as the diffusion rates separate away from zero must be linearly unstable. From this feature one can derive a number of rather astonishing consequences, as the multiplicity of the coexistence steady states when the non-spatial model exhibits founder control competition somewhere in $\Omega$, say $\Omega_{bi}$, even if $\Omega_{bi}$ is negligible empirically. Actually, this is the first existing multiplicity result for small diffusion rates. Finally, based on the Picone identity, we can establish a new, rather striking, uniqueness result valid for general spatially heterogeneous models. This result generalizes, very substantially, those of W. M. Ni and collaborators for the autonomous model. Últimas Notícias Chamada pública para tutoria de Cálculo I Edital DEG/DAIA nº 10/2025 - Programa de Tutoria de Graduação para o semestre 1º/2025 Seminário de Álgebra - 04/04/2025 O seminário ocorrerá no próximo dia 04/04, às 14h30, no auditório do MAT. Atendimento da Coordenação Atendimento da coordenação do MAT Convite para o Lançamento do Livro PET Matemática da UnB: Relatos e Atividades (2013-2024)