Zobrazeno 1 - 10
of 224
pro vyhledávání: '"B. Mucha"'
Publikováno v:
PLoS ONE, Vol 16, Iss 8, p e0256180 (2021)
Contact tracing and quarantine are well established non-pharmaceutical epidemic control tools. The paper aims to clarify the impact of these measures in evolution of epidemic. The proposed deterministic model defines a simple rule on the reproduction
Externí odkaz:
https://doaj.org/article/1e8de6c264c14bbebd1a30f536bf59d3
Autor:
Piotr B. Mucha, Aleksandra Puchalska
Publikováno v:
Journal of Mathematical Fluid Mechanics. 24
The paper deals with the analysis of Burgers’ equation on acyclic metric graphs. The main goal is to establish the existence of weak solutions in the TV—class of regularity. A key point is transmission conditions in vertices obeying the Kirchhoff
Publikováno v:
Journal of Evolution Equations. 21:3103-3127
We are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior. The initial data are rough: in particular, the density is only
Publikováno v:
Journal of Differential Equations. 267:307-363
We construct large velocity vector solutions to the three dimensional inhomogeneous Navier-Stokes system. The result is proved via the stability of two dimensional solutions with constant density, under the assumption that initial density is point-wi
Autor:
Piotr B. Mucha, Raphaël Danchin
Publikováno v:
Communications on Pure and Applied Mathematics. 72:1351-1385
We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier-Stokes equations supplemented with H^1 initial velocity and only bounded nonnegative density. In contrast with all the previous works on that topics,
Publikováno v:
Archive for Rational Mechanics and Analysis. 232:987-1029
We prove existence of global in time weak solutions to a compressible two-fluid Stokes system with a single velocity field and algebraic closure for the pressure law. The constitutive relation involves densities of both fluids through an implicit fun
The paper introduces a model of collective behavior where agents receive information only from sufficiently dense crowds in their immediate vicinity. The system is an asymmetric, density-induced version of the Cucker–Smale model with short-range in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac2984f4bf46aabe26f682d1c8aa18b8
Autor:
Liutang Xue, Piotr B. Mucha
We address a question concerning the issue of existence to a Boussinesq type system with a heat source. The problem is studied in the whole two dimensional plane and the heat source is a measure transported by the flow. For arbitrary initial data, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81fe144c943d899a2c7b16fa05135653
Autor:
Jacek Cyranka, Piotr B. Mucha
Publikováno v:
Journal of Mathematical Analysis and Applications. 465:500-530
The paper aims at constructing two different solutions to an elliptic system u ⋅ ∇ u + ( − Δ ) m u = λ F defined on the two dimensional torus. It can be viewed as an elliptic regularization of the stationary Burgers 2D system. A motivation to
Autor:
Piotr B. Mucha, Raphaël Danchin
Publikováno v:
Advances in Mathematics. 320:904-925
Here we prove the existence of global in time regular solutions to the two-dimensional compressible Navier–Stokes equations supplemented with arbitrary large initial velocity v 0 and almost constant density ϱ 0 , for large volume (bulk) viscosity.