A variational approach to hyperbolic evolutions and fluid-structure interactions

DOI10.4171/jems/1353MaRDI QIDQ6620343

Sebastian Schwarzacher, Malte Kampschulte, Barbora Benešová

Publication date: 16 October 2024

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

elastodynamicsNavier-Stokes equationcalculus of variationsfluid-structure interactionminimizing movements

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Methods involving semicontinuity and convergence; relaxation (49J45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence of solutions of dynamical problems in solid mechanics (74H20) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)

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Related Items (3)

Compressible fluids interacting with 3D visco-elastic bulk solids ⋮ On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams ⋮ Stability and convergence of in time approximations of hyperbolic elastodynamics via stepwise minimization

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