All Outputs (3)

Non-Relativistic and Relativistic Lagrangian Pairing in Fluid Mechanics Inspired by Quantum Theory (2025)
Journal Article
Ismail-Sutton, S., Scholle, M., & Gaskell, P. H. (2025). Non-Relativistic and Relativistic Lagrangian Pairing in Fluid Mechanics Inspired by Quantum Theory. Symmetry, 17(3), Article 315. https://doi.org/10.3390/sym17030315

The pairing of non-relativistic and relativistic Lagrangians within the context of fluid mechanics, advancing methodologies for constructing Poincare-invariant Lagrangians, is explored. Through leveraging symmetries and Noether’s theorem in an invers... Read More about Non-Relativistic and Relativistic Lagrangian Pairing in Fluid Mechanics Inspired by Quantum Theory.

A novel rapid methodology for generating bilayer base-flow solutions involving surface patterning (2025)
Journal Article
Scholle, M., Gaskell, P. H., Ismail-Sutton, S., & Mellmann, M. (online). A novel rapid methodology for generating bilayer base-flow solutions involving surface patterning. European Physical Journal - Special Topics, https://doi.org/10.1140/epjs/s11734-024-01455-1

Two bilayer flow arrangements, involving either (i) shear- or (ii) gravity-driven fluids, are explored in the presence of a periodically repeating surface topography. Key simplifying assumptions are that the flow is considered two-dimensional and ine... Read More about A novel rapid methodology for generating bilayer base-flow solutions involving surface patterning.

A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction (2024)
Journal Article
Scholle, M., Ismail‐Sutton, S., & Gaskell, P. H. (2025). A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction. Studies in Applied Mathematics, 154(1), Article e12791. https://doi.org/10.1111/sapm.12791

With the aim of describing compressible viscous flows by means of a variational principle that takes into account heat conduction, a recently proposed Lagrangian is subjected to a detailed linear wave analysis that stems directly from the Lagrangian.... Read More about A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction.