Zobrazeno 1 - 10
of 2 442
pro vyhledávání: '"ALVES, A. J."'
We consider nonlinear Vlasov-type equations involving powers of the zero-order moment and obtain a local existence and uniqueness result within a framework of analytic functions. The proof employs a Banach fixed point argument, where a contraction ma
Externí odkaz:
http://arxiv.org/abs/2412.04581
Autor:
Alves, Nuno J.
We consider the space of functions almost in $L_p$ equipped with the topology of asymptotic $L_p$-convergence. This space is shown to form a completely metrizable topological vector space, extending the space of measurable functions with the topology
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
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:
Mendonça, Johny J.1 (AUTHOR) mendonca.johny@yahoo.com.br, Alves, Michelle J. G.2 (AUTHOR) michellejustinoalves@gmail.com, Vitalino, Gisely M.2 (AUTHOR) gisellymore@gmail.com, Barreto, Maria C. S.3 (AUTHOR) mcsbarreto@gmail.com, Carvalho, Eric X.4 (AUTHOR) eric.carvalho@ipa.br, Oliveira, José P.4 (AUTHOR) jose.paula@ipa.br, Silva, Maria L. R. B.4 (AUTHOR) luizabastos6@yahoo.com.br, Fracetto, Felipe J. C.2 (AUTHOR) fracettofelipe@gmail.com, Fracetto, Giselle G. M.2 (AUTHOR) giselle.fracetto@ufrpe.br, Lira Junior, Mario A2 (AUTHOR) mario.alirajr@ufrpe.br
Publikováno v:
Agronomy. Dec2024, Vol. 14 Issue 12, p2769. 17p.
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