Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Lindberg, Sauli"'
Autor:
Lindberg, Sauli
Let $r,s \in [2,\infty]$ and consider the Navier-Stokes equations on $\mathbb{R}^3$. We study the following two questions for suitable $s$-homogeneous Banach spaces $X \subset \mathcal{S}'$: does every $u_0 \in L^2_\sigma$ have a weak solution that b
Externí odkaz:
http://arxiv.org/abs/2412.13066
Autor:
Hitruhin, Lauri, Lindberg, Sauli
We compute the exact relaxation and $\Lambda$-convex hull of the kinematic dynamo equations and show that they coincide. We also find the relaxation in the stationary case.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2301.06843
Autor:
Lindberg, Sauli
Coifman, Lions, Meyer and Semmes asked in 1993 whether the Jacobian operator and other compensated compactness quantities map their natural domain of definition onto the real-variable Hardy space $\mathcal{H}^1(\mathbb{R}^n)$. We present an axiomatic
Externí odkaz:
http://arxiv.org/abs/2208.13576
We revisit the issue of conservation of magnetic helicity and the Woltjer-Taylor relaxation theory in magnetohydrodynamics in the context of weak solutions. We introduce a relaxed system for the ideal MHD system, which decouples the effects of hydrod
Externí odkaz:
http://arxiv.org/abs/2109.09106
In this Letter we extend the proof, by Faraco and Lindberg, of Taylor's conjecture in multiply connected domains to cover arbitrary vector potentials and remove the need to impose conditions on the magnetic field due to gauge invariance. This extensi
Externí odkaz:
http://arxiv.org/abs/2106.14936
We study the symmetry and uniqueness of maps which minimise the $np$-Dirichlet energy, under the constraint that their Jacobian is a given radially symmetric function $f$. We find a condition on $f$ which ensures that the minimisers are symmetric and
Externí odkaz:
http://arxiv.org/abs/2012.10132
For a nonlinear operator $T$ satisfying certain structural assumptions, our main theorem states that the following claims are equivalent: i) $T$ is surjective, ii) $T$ is open at zero, and iii) $T$ has a bounded right inverse. The theorem applies to
Externí odkaz:
http://arxiv.org/abs/2010.10497
Publikováno v:
Calc. Var. 60, 55 (2021)
We study existence and regularity of solutions to the Dirichlet problem for the prescribed Jacobian equation, $\det Du = f$, where $f$ is integrable and bounded away from zero. In particular, we take $f\in L^p$, where $p > 1$, or in $L\log L$. We pro
Externí odkaz:
http://arxiv.org/abs/2009.03621
Autor:
Hitruhin, Lauri, Lindberg, Sauli
We compute the lamination convex hull of the stationary IPM equations. We also show in bounded domains that for subsolutions of stationary IPM taking values in the lamination convex hull, velocity vanishes identically and density depends only on heig
Externí odkaz:
http://arxiv.org/abs/2006.09720
We show that in 3-dimensional ideal magnetohydrodynamics there exist infinitely many bounded solutions that are compactly supported in space-time and have non-trivial velocity and magnetic fields. The solutions violate conservation of total energy an
Externí odkaz:
http://arxiv.org/abs/1909.08678