Well-posedness of a viscoelastic resistive force theory and applications to swimming

DOI10.1007/S00332-024-10051-5zbMATH Open1546.35161MaRDI QIDQ6599768

Laurel Ohm

Publication date: 6 September 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

viscoelasticcurve evolutionmicroswimmerresistive force theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stokes and related (Oseen, etc.) flows (76D07) Biomechanics (92C10) Finite element methods applied to problems in fluid mechanics (76M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Biopropulsion in water and in air (76Z10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Simulating the dynamics and interactions of flexible fibers in Stokes flows
• Small-amplitude swimmers can self-propel faster in viscoelastic fluids
• An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow
• Theoretical justification and error analysis for slender body theory with free ends
• Optimal swimming of flagellated micro-organisms
• There is More than One Way to Frame a Curve
• The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids
• Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid
• Theoretical Justification and Error Analysis for Slender Body Theory
• The Fluid Dynamics of Cell Motility
• Propulsion in a viscoelastic fluid
• Swimming speeds of filaments in nonlinearly viscoelastic fluids
• Well-posedness and applications of classical elastohydrodynamics for a swimming filament

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