Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Bohun, Anna"'
We consider solutions to the two-dimensional incompressible Euler system with only integrable vorticity, thus with possibly locally infinite energy. With such regularity, we use the recently developed theory of Lagrangian flows associated to vector f
Externí odkaz:
http://arxiv.org/abs/1508.04330
The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove existence and stability of global Lagrangian solutions to the repulsive
Externí odkaz:
http://arxiv.org/abs/1412.6358
We prove quantitative estimates for flows of vector fields subject to anisotropic regularity conditions: some derivatives of some components are (singular integrals of) measures, while the remaining derivatives are (singular integrals of) integrable
Externí odkaz:
http://arxiv.org/abs/1412.2513
Publikováno v:
In Annales de l'Institut Henri Poincaré / Analyse non linéaire November-December 2016 33(6):1409-1429
Publikováno v:
In Journal of Differential Equations 15 February 2016 260(4):3576-3597
Publikováno v:
In Nonlinear Analysis February 2016 132:160-172
Publikováno v:
Nonlinear Analysis: Theory Methods & Applications
Nonlinear Analysis: Theory, Methods and Applications
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2016, 132, pp.160-172. ⟨10.1016/j.na.2015.11.004⟩
Nonlinear Analysis: Theory, Methods and Applications
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2016, 132, pp.160-172. ⟨10.1016/j.na.2015.11.004⟩
International audience; We consider solutions to the two-dimensional incompressible Euler system with only integrable vorticity, thus with possibly locally infinite energy. With such regularity, we use the recently developed theory of Lagrangian flow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ada1d396f379b47b62ee78e166279dc3
http://www.math.unibas.ch/crippa
http://www.math.unibas.ch/crippa
The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove existence and stability of global Lagrangian solutions to the repulsive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::227025af1c510a891261da6a3897aade
Autor:
Bohun, Anna
Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is high
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::783217916f6a78653683302697617b50
https://edoc.unibas.ch/38592/
https://edoc.unibas.ch/38592/