Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Alessia Nota"'
Autor:
Alessia Nota, Juan J. L. Velázquez
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, Pp 1-25 (2023)
In these notes we review some recent results on the homoenergetic solutions for the Boltzmann equation obtained in [4,20,21,22]. These solutions are a particular class of non-equilibrium solutions of the Boltzmann equation which are useful to describ
Externí odkaz:
https://doaj.org/article/6547e7abde024b748f69c955d3f10095
The existence and non-existence of stationary solutions of multicomponent coagulation equations with a constant flux of mass towards large sizes is investigated. The flux may be induced by a source of small clusters or by a flux boundary condition at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a86e1096ef19111b38deb4604f57d81
https://hdl.handle.net/11697/206979
https://hdl.handle.net/11697/206979
In this note we study Boltzmann's collision kernel for inverse power law interactions $U_s(r)=1/r^{s-1}$ for $s>2$ in dimension $ d=3 $. We prove the limit of the non-cutoff kernel to the hard-sphere kernel and give precise asymptotic formulas of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ee94eb75e00e8e4b831c09f497dfd5d
https://hdl.handle.net/11697/206959
https://hdl.handle.net/11697/206959
Publikováno v:
Communications in Mathematical Physics. 380:409-448
In this paper we study a generalized class of Maxwell-Boltzmann equations which in addition to the usual collision term contains a linear deformation term described by a matrix A. This class of equations arises, for instance, from the analysis of hom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6237628127e51e3a7b2d337fb15f2125
https://doi.org/10.1007/s00220-020-03858-2
https://doi.org/10.1007/s00220-020-03858-2
Publikováno v:
Oberwolfach Reports. 16:617-661
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7494de6b0b95bd4f335366c445fe148
https://doi.org/10.4171/owr/2019/10
https://doi.org/10.4171/owr/2019/10
We consider the multicomponent Smoluchowski coagulation equation under non-equilibrium conditions induced either by a source term or via a constant flux constraint. We prove that the corresponding stationary non-equilibrium solutions have a universal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ec3fd8205e1787b6ec2c7325be7bcae
http://hdl.handle.net/10138/336128
http://hdl.handle.net/10138/336128
Publikováno v:
Experts@Minnesota
In this paper we present a formal analysis of the long-time asymptotics of a particular class of solutions of the Boltzmann equation, known as homoenergetic solutions, which have the form $f\left( x,v,t\right)=g\left( v-L\left( t\right) x,t\right)$ w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14602332dce2fe83554a804179c59618
https://doi.org/10.1007/s00332-019-09535-6
https://doi.org/10.1007/s00332-019-09535-6
Publikováno v:
Rendiconti Lincei. Matematica e Applicazioni
Rendiconti Lincei. Matematica e Applicazioni, 2021, 32 (2), pp.335-377. ⟨10.4171/RLM/939⟩
Rendiconti Lincei. Matematica e Applicazioni, 2021, 32 (2), pp.335-377. ⟨10.4171/RLM/939⟩
The goal of this paper is to describe the various kinetic equations which arise from scaling limits of interacting particle systems. We provide a formalism which allows us to determine the kinetic equation for a given interaction potential and scalin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52c949a14e8022b78ffae13b7138a25e
https://hal.science/hal-04134278
https://hal.science/hal-04134278
Publikováno v:
Experts@Minnesota
In this paper we continue the formal analysis of the long-time asymptotics of the homoenergetic solutions for the Boltzmann equation that we began in [18]. They have the form $f\left( x,v,t\right) =g\left(v-L\left( t\right) x,t\right) $ where $L\left
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eefa3e3adda6773e1f058f34f44720a4
http://hdl.handle.net/11697/151264
http://hdl.handle.net/11697/151264
In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to oth