A geometric heat-flow theory of Lagrangian coherent structures
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Publication:2190705
DOI10.1007/s00332-020-09626-9zbMath1444.76099arXiv1608.05598OpenAlexW3098255100MaRDI QIDQ2190705
Johannes Keller, Daniel Karrasch
Publication date: 21 June 2020
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.05598
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Applications of differential geometry to physics (53Z05) Diffusion and convection (76R99) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items (11)
Detecting the birth and death of finite‐time coherent sets ⋮ Lagrangian Transport through Surfaces in Compressible Flows ⋮ Delay-coordinate maps, coherence, and approximate spectra of evolution operators ⋮ Heat-content and diffusive leakage from material sets in the low-diffusivity limit * ⋮ A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds ⋮ Stochastic approaches to Lagrangian coherent structures ⋮ Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration ⋮ Barriers to the Transport of Diffusive Scalars in Compressible Flows ⋮ Linear response for the dynamic Laplacian and finite-time coherent sets ⋮ Transfer operators from optimal transport plans for coherent set detection ⋮ Higher-order finite element approximation of the dynamic Laplacian
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