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pro vyhledávání: '"Haffter, P"'
Autor:
Colombo, Maria, Haffter, Silja
We prove that the spacetime singular set of any suitable Leray-Hopf solution of the surface quasigeostrophic equation with fractional dissipation of order $0< \alpha < \frac{1}{2}$ has Hausdorff dimension at most $\frac{1}{2\alpha^2}\,.$ This result
Externí odkaz:
http://arxiv.org/abs/2202.12190
Autor:
De Rosa, Luigi, Haffter, Silja
Intermittency phenomena are known to be among the main reasons why Kolmogorov's theory of fully developed Turbulence is not in accordance with several experimental results. This is why some \emph{fractal} statistical models have been proposed in orde
Externí odkaz:
http://arxiv.org/abs/2109.03572
Autor:
De Rosa, Luigi, Haffter, Silja
For $\beta<\frac13$, we consider $C^\beta(\mathbb{T}^3\times [0,T])$ weak solutions of the incompressible Euler equations that do not conserve the kinetic energy. We prove that for such solutions the closed and non-empty set of singular times $\mathc
Externí odkaz:
http://arxiv.org/abs/2102.06085
Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation
Autor:
Colombo, Maria, Haffter, Silja
We consider the SQG equation with dissipation given by a fractional Laplacian of order $\alpha<\frac{1}{2}$. We introduce a notion of suitable weak solution, which exists for every $L^2$ initial datum, and we prove that for such solution the singular
Externí odkaz:
http://arxiv.org/abs/2012.12006
Autor:
Colombo, Maria, Haffter, Silja
Publikováno v:
Analysis & PDE 16 (2023) 613-642
We consider the defocusing nonlinear wave equation $\Box u = \lvert u \rvert^{p-1} u$ in $\mathbb{R}^3 \times[0,\infty)$. We prove that for any initial datum with a scaling-subcritical norm bounded by $M_0$ the equation is globally well-posed for $p=
Externí odkaz:
http://arxiv.org/abs/1911.02599
Autor:
Colombo, Maria, Haffter, Silja
We consider solutions of the Navier-Stokes equation with fractional dissipation of order $\alpha\geq 1$. We show that for any divergence-free initial datum $u_0$ such that $||u_0||_{H^{\delta}} \leq M$, where $M$ is arbitrarily large and $\delta$ is
Externí odkaz:
http://arxiv.org/abs/1911.02600
Akademický článek
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Publikováno v:
Swiss Medical Weekly, Vol 153, Iss 5 (2023)
BACKGROUND AND AIMS: Chronic musculoskeletal pain is a major public health problem worldwide. Both self-reported functional capacity and self-perceived health status are reduced in patients with chronic musculoskeletal pain. Previous studies mostly a
Externí odkaz:
https://doaj.org/article/ceefccbdf4694b32900054541dbd5a14
Akademický článek
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