A new approach to bounds on mixing
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Publication:4568502
DOI10.1142/S0218202518500215zbMath1474.76024arXiv1604.00907OpenAlexW2962695906MaRDI QIDQ4568502
Publication date: 21 June 2018
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.00907
PDEs in connection with fluid mechanics (35Q35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Dynamics induced by flows and semiflows (37C10) Turbulent transport, mixing (76F25) Flow control and optimization for incompressible viscous fluids (76D55)
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Cites Work
- Unnamed Item
- Exponential self-similar mixing and loss of regularity for continuity equations
- Polynomial growth estimates for multilinear singular integral operators
- Multilinear Calderón-Zygmund theory
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Compactness for nonlinear continuity equations
- A lemma and a conjecture on the cost of rearrangements
- A multiscale measure for mixing
- Optimal stirring strategies for passive scalar mixing
- Using multiscale norms to quantify mixing and transport
- Classical Fourier Analysis
- Estimates and regularity results for the DiPerna-Lions flow
- Multilinear Singular Integral Forms of Christ-Journé Type
- Maximal mixing by incompressible fluid flows
- Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
