Geometric theory of flexible and expandable tubes conveying fluid: equations, solutions and shock waves

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Gay-Balmaz, François; Putkaradze, Vakhtang;
  • Related identifiers: doi: 10.1007/s00332-018-9491-9
  • Subject: Nonlinear Sciences - Chaotic Dynamics | Physics - Fluid Dynamics | Mathematics - Dynamical Systems
    arxiv: Physics::Fluid Dynamics

We present a theory for the three-dimensional evolution of tubes with expandable walls conveying fluid. Our theory can accommodate arbitrary deformations of the tube, arbitrary elasticity of the walls, and both compressible and incompressible flows inside the tube. We a... View more
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