Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Francesca Crispo"'
Autor:
Francesca Crispo, Paolo Maremonti
Publikováno v:
Mathematics, Vol 9, Iss 11, p 1167 (2021)
We investigate the 3D Navier–Stokes Cauchy problem. We assume the initial datum v0 is weakly divergence free, supR3∫R3|v0(y)|2|x−y|dy<∞ and |v0(y)|2∈K3, where K3 denotes the Kato class. The existence is local for arbitrary data and global i
Externí odkaz:
https://doaj.org/article/adf1fcfcf3c748e7ba824d35501a68b8
Autor:
Francesca Crispo, Hugo Beirão da Veiga
Publikováno v:
Advances in Nonlinear Analysis. 12
We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations. After considering the Cauchy problem, particular attent
Autor:
Francesca Crispo
Publikováno v:
Interactions between Elasticity and Fluid Mechanics ISBN: 9783985470273
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::486e224ee992e640a8ad8591c4a0aba9
https://doi.org/10.4171/esiam/3/5
https://doi.org/10.4171/esiam/3/5
The paper is concerned with the IBVP of the Navier-Stokes equations. The result of the paper is in the wake of analogous results obtained by the authors in previous articles Crispo et al. (Ricerche Mat 70:235–249, 2021). The goal is to estimate the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3276c58a3507292be004d4c9fbad703f
Autor:
Paolo Maremonti, Francesca Crispo
Publikováno v:
Partial Differential Equations and Applications. 2
The paper is concerned with the Navier–Stokes Cauchy problem. We investigate on some results of regularity and uniqueness related to suitable weak solutions corresponding to a special set of initial data. The suitable weak solution notion is meant
Publikováno v:
Advances in Mathematical Fluid Mechanics ISBN: 9783030681432
The paper is concerned with the IBVP of the Navier–Stokes equations. The goal is the construction of a weak solution enjoying some new properties. Of course, we look for properties that are global in time. The results hold assuming an initial data
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffe0e5ffbbb1470a286c4863b9a99b80
http://hdl.handle.net/11568/1034804
http://hdl.handle.net/11568/1034804
The paper is concerned with the IBVP of the Navier–Stokes equations. The goal is to evaluate the possible gap between the energy equality and the energy inequality deduced for a weak solution. This kind of analysis is new and the result is a natura
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1554e43ee47be170b62addd66c6c4bb
http://hdl.handle.net/11591/448361
http://hdl.handle.net/11591/448361
Autor:
Paolo Maremonti, Francesca Crispo
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:1283-1294
Starting from the partial regularity results for suitable weak solutions to the Navier-Stokes Cauchy problem by Caffarelli, Kohn and Nirenberg, as a corollary, under suitable assumptions of local character on the initial data, we prove a behavior in
We consider the IBVP in exterior domains for the p-Laplacian parabolic system. We prove regularity up to the boundary, extinction properties for p \in ( 2n/(n+2) , 2n/(n+1) ) and exponential decay for p= 2n/(n+1) .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76c2ea6cc94b56cf621accb8af54af0b
http://hdl.handle.net/11591/410141
http://hdl.handle.net/11591/410141
Autor:
Paolo Maremonti, Francesca Crispo
Publikováno v:
Nonlinearity. 29:1355-1383
We prove space-time decay estimates of suitable weak solutions to the Navier-Stokes Cauchy problem, corresponding to a given asymptotic behavior of the initial data of the same order of decay. We use two main tools. The first is a result obtained by