Topological Methods in Hydrodynamics

• On derivations of evolving surface Navier–Stokes equations

  2022 Interfaces and Free Boundaries Mathematical Analysis Computation and Applications article Mathematics Navier-Stokes equation solutions Open access

  16

  citations
• Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary

  2021 Annals of Global Analysis and Geometry article Mathematics Geometric Analysis and Curvature Flows Open access

  3

  citations
• Zero Set Structure of Real Analytic Beltrami Fields

  2021 Journal of Geometric Analysis article Mathematics Geometric Analysis and Curvature Flows Open access

  1

  citations
• Existence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes

  2020 Annals of Global Analysis and Geometry article Mathematics Geometric Analysis and Curvature Flows Open access

  10

  citations
• Existence and structure of symmetric Beltrami flows on compact $3$-manifolds

  2020 arXiv (Cornell University) preprint Mathematics Geometric Analysis and Curvature Flows Open access

  2

  citations
• Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary

  2020 arXiv (Cornell University) preprint Mathematics Geometric Analysis and Curvature Flows Open access

  14

  citations
• Inf-sup stability of the trace 𝐏₂–𝐏₁ Taylor–Hood elements for surface PDEs

  2020 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  24

  citations

7 results