Zobrazeno 1 - 10
of 39
pro vyhledávání: '"José A. Cañizo"'
Autor:
Rincón, José Alfredo Cañizo
Publikováno v:
Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2064, pp. 3731-3745 (2005)
We prove the following asymptotic behavior for solutions to the generalized Becker-D\"oring system for general initial data: under a detailed balance assumption and in situations where density is conserved in time, there is a critical density $\rho_s
Externí odkaz:
http://arxiv.org/abs/math-ph/0507038
Publikováno v:
Bulletin of the London Mathematical Society. 53:248-258
We show that the Smoluchowski coagulation equation with the solvable kernels $K(x,y)$ equal to $2$, $x+y$ or $xy$ is contractive in suitable Laplace norms. In particular, this proves exponential convergence to a self-similar profile in these norms. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cac43acb46cf89312a71fe3c3c9ce98
https://doi.org/10.1112/blms.12417
https://doi.org/10.1112/blms.12417
Publikováno v:
Digibug. Repositorio Institucional de la Universidad de Granada
instname
instname
The work of the first and third authors was supported by the project MTM2017- 85067-P, funded by the Spanish government and the European Regional Development Fund and they gratefully acknowledge the support of the Hausdorff Research Institute for Mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93dfd72e1d1e913005956e803a35440e
http://arxiv.org/abs/2004.08343
http://arxiv.org/abs/2004.08343
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 149:995-1015
We show uniform-in-time propagation of algebraic and stretched exponential moments for the Becker-D\"oring equations. Our proof is based upon a suitable use of the maximum principle together with known rates of convergence to equilibrium.
Commen
Commen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2aad51b065a133fbe067b03b525664a
https://doi.org/10.1017/prm.2018.99
https://doi.org/10.1017/prm.2018.99
Publikováno v:
Journal of Mathematical Analysis and Applications. 462:801-839
In this work we present several quantitative results of convergence to equilibrium for the linear Boltzmann operator with soft potentials under Grad's angular cut-off assumption. This is done by an adaptation of the famous entropy method and its vari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7538dbc853e57b35be2f133657529030
https://doi.org/10.1016/j.jmaa.2017.12.052
https://doi.org/10.1016/j.jmaa.2017.12.052
Autor:
Sebastian Throm, José A. Cañizo
We consider Smoluchowski's coagulation equation with a kernel of the form K = 2 + ϵ W , where W is a bounded kernel of homogeneity zero. For small ϵ, we prove that solutions approach a universal, unique self-similar profile for large times, at almo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb03b57db9b670afdbe045720254c52d
Publikováno v:
Nonlinear Analysis. 137:291-305
We show that solutions of the 2D Fokker–Planck equation for bosons are defined globally in time and converge to equilibrium, and this convergence is shown to be exponential for radially symmetric solutions. The main observation is that a variant of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fdc27b7c92145ad164ca481c309b72e
https://doi.org/10.1016/j.na.2015.07.030
https://doi.org/10.1016/j.na.2015.07.030
Publikováno v:
Calculus of Variations and Partial Differential Equations. 57
Under suitable technical conditions we show that minimisers of the discrete interaction energy for attractive-repulsive potentials converge to minimisers of the corresponding continuum energy as the number of particles goes to infinity. We prove that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aa659c0d94cab266f1d58fd9797224f
https://doi.org/10.1007/s00526-017-1289-3
https://doi.org/10.1007/s00526-017-1289-3
Autor:
José A. Cañizo, Havva Yoldaş
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
We study two population models describing the dynamics of interacting neurons, initially proposed by Pakdaman et al (2010 Nonlinearity 23 55–75) and Pakdaman et al (2014 J. Math. Neurosci. 4 1–26). In the first model, the structuring variable s r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e98a5b6245bb1c1291aaade885ec53b8
Publikováno v:
Anal. PDE 10, no. 7 (2017), 1663-1708
We investigate the rate of convergence to equilibrium for subcritical solutions to the Becker–Döring equations with physically relevant coagulation and fragmentation coefficients and mild assumptions on the given initial data. Using a discrete ver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f43d62c8a15419a630ba92327dbe8a80
https://projecteuclid.org/euclid.apde/1510843559
https://projecteuclid.org/euclid.apde/1510843559