Zobrazeno 1 - 10
of 423
pro vyhledávání: '"Núño, J"'
Autor:
Alves, Nuno J.
We consider the space of functions almost in $L_p$ with the topology of asymptotic $L_p$-convergence. We prove that this space forms a completely metrizable topological vector space, which extends the space of measurable functions with the topology o
Externí odkaz:
http://arxiv.org/abs/2410.22905
We establish a uniform estimate for a bilinear fractional integral operator via restricted weak-type endpoint estimates and Marcinkiewicz interpolation. This estimate is crucial in the integrability analysis of a tensor-valued bilinear fractional int
Externí odkaz:
http://arxiv.org/abs/2409.18309
We show that under natural growth conditions on the entropy function, convergence in relative entropy is equivalent to $L_p$-convergence. The main tool is the theory of Young measures, in a form that accounts for the formation of concentrations in we
Externí odkaz:
http://arxiv.org/abs/2409.16892
Autor:
Alves, Nuno J., Oniani, Giorgi G.
Asymptotic $L_p$-convergence, which resembles convergence in $L_p$, was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic $L_p$-convergence with convergence in measure and in weak $L_p$ spaces. One of the
Externí odkaz:
http://arxiv.org/abs/2407.06830
In this article we investigate and solve exactly the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries through an algebraic approach. By focusing on the radial part of this problem, we use the Schr\"odinger factorizati
Externí odkaz:
http://arxiv.org/abs/2405.11415
Publikováno v:
Communications in Mathematical Analysis and Applications 3(2), 266-286 (2024)
In this work we employ the relative energy method to obtain a weak-strong uniqueness principle for a Euler-Riesz system, as well as to establish its convergence in the high-friction limit towards a gradient flow equation. The main technical challenge
Externí odkaz:
http://arxiv.org/abs/2404.18108
Publikováno v:
Z. Angew. Math. Phys. 75, 17 (2024)
We consider a set of bipolar Euler-Poisson equations and study two asymptotic limiting processes. The first is the zero-electron-mass limit, which formally results in a non-linear adiabatic electron system. In a second step, we analyse the combined z
Externí odkaz:
http://arxiv.org/abs/2305.00340
Autor:
Alves, Nuno J., Paulos, João
Publikováno v:
The Quarterly Journal of Mathematics, 75(1), 143-159 (2024)
In this work, a mode of convergence for measurable functions is introduced. A related notion of Cauchy sequence is given and it is proved that this notion of convergence is complete in the sense that Cauchy sequences converge. Moreover, the preservat
Externí odkaz:
http://arxiv.org/abs/2302.13868
Autor:
Alves, Nuno J.
Publikováno v:
Applicable Analysis, 103(6), 1064-1079 (2024)
In this article, the weak-strong uniqueness principle is proved for an Euler-Poisson system in the whole space, with initial data so that the strong solution exists. Some results on Riesz potentials are used to justify the considered weak formulation
Externí odkaz:
http://arxiv.org/abs/2205.07289
Autor:
Cardoso, Mário, Cavalheiro, André, Borges, Alexandre, Duarte, Ana F., Soares, Amílcar, Pereira, Maria João, Nunes, Nuno J., Azevedo, Leonardo, Oliveira, Arlindo L.
Europe was hit hard by the COVID-19 pandemic and Portugal was one of the most affected countries, having suffered three waves in the first twelve months. Approximately between Jan 19th and Feb 5th 2021 Portugal was the country in the world with the l
Externí odkaz:
http://arxiv.org/abs/2105.02752