Cellular mixing with bounded palenstrophy
From MaRDI portal
Publication:4588316
DOI10.1142/S0218202517500452zbMath1379.35236arXiv1707.01352MaRDI QIDQ4588316
Gianluca Crippa, Christian Schulze
Publication date: 2 November 2017
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.01352
incompressible flowsmixingcontinuity equationregular Lagrangian flowsnegative Sobolev normscellular mixingpalenstrophy
Related Items (6)
Sub-exponential mixing of generalized cellular flows with bounded palenstrophy ⋮ Exponential self-similar mixing by incompressible flows ⋮ Polynomial mixing under a certain stationary Euler flow ⋮ On the forced Euler and Navier-Stokes equations: linear damping and modified scattering ⋮ On geometric and analytic mixing scales: comparability and convergence rates for transport problems ⋮ Differentiability in measure of the flow associated with a nearly incompressible BV vector field
Cites Work
- Exponential self-similar mixing and loss of regularity for continuity equations
- Transport equation and Cauchy problem for BV vector fields
- Ordinary differential equations, transport theory and Sobolev spaces
- Nonuniqueness of bounded solutions for some BV outside a hyperplane vector field
- Polynomial mixing under a certain stationary Euler flow
- Mixing and un-mixing by incompressible flows
- A lemma and a conjecture on the cost of rearrangements
- A multiscale measure for mixing
- Critical non-Sobolev regularity for continuity equations with rough velocity fields
- Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows
- Optimal stirring strategies for passive scalar mixing
- Using multiscale norms to quantify mixing and transport
- Estimates and regularity results for the DiPerna-Lions flow
- A new approach to bounds on mixing
- Maximal mixing by incompressible fluid flows
- Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
This page was built for publication: Cellular mixing with bounded palenstrophy
