Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society
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A Regularity Criterion of Weak Solutions to the 3D Boussinesq Equations
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Tập 51 - Trang 513-525 - 2019
The paper deals with the regularity criteria for the weak solutions to the 3D Boussinesq equations in terms of the partial derivatives in Besov spaces. It is proved that the weak solution $$(u,\theta )$$ becomes regular provided that $$\begin{aligned} (\nabla _{h}{\widetilde{u}},\nabla _{h}\theta )\in L^{1}(0,T;\overset{\cdot }{B }_{\infty ,\infty }^{0}({\mathbb {R}}^{3})) \end{aligned}$$Our resul......
Norm optimization problem for linear operators in classical Banach spaces
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Tập 40 - Trang 417-431 - 2009
The main result of the paper shows that, for 1 < p < ∞ and 1 ≤ q < ∞, a linear operator T: ℓ
p
→ ℓ
q
attains its norm if, and only if, there exists a not weakly null maximizing sequence for T (counterexamples can be easily constructed when p = 1). For 1 < p ≠ q < ∞, as a consequence of the previous result we show that any not we......
Local Null Controllability of a 1D Stefan Problem
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Tập 50 - Trang 745-769 - 2018
The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with other previous arguments, does not rely on any compactness property and can be generalized to higher dimensions.
On a subclass of certain k-starlike functions with negative coefficients
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Tập 37 Số 1 - Trang 19-28 - 2006
Entropy, pressure and duality for Gibbs plans in Ergodic transport
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - - 2015
Flot horosphérique des repères sur les variétés hyperboliques de dimension 3 et spectre des groupes kleiniens
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Tập 33 - Trang 99-123 - 2002
Soit Γ un groupe kleinien. L’action sur Γ\PSL(2,ℂ) du sous-groupe unipotent supérieur est conjuguée à un flot à deux paramètres sur le fibré des repères orthonormés directs de la variété hyperbolique Γ\ℍ3. Nous montrons que la topologie des orbites (compacité, divergence, densité dans l’ensemble non errant) est analogue à la topologie du feuilletage horosphérique sur le fibré tangent unitaire des......
A Result of Rigidity for Ricci-Flat Warped Products
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - - 2023
Preface
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - - 2002
Non-dissipative System as Limit of a Dissipative One: Comparison of the Asymptotic Regimes
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - - 2020
On the Solvability of Third-Order Three Point Systems of Differential Equations with Dependence on the First Derivative
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society - Tập 48 - Trang 485-503 - 2016
This paper presents sufficient conditions for the solvability of the third order three point boundary value problem
$$\begin{aligned} \left\{ \begin{array}{c} -u^{\prime \prime \prime }(t)=f(t,\,v(t),\,v^{\prime }(t)) \\ -v^{\prime \prime \prime }(t)=h(t,\,u(t),\,u^{\prime }(t)) \\ u(0)=u^{\prime }(0)=0,u^{\prime }(1)=\a......
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