Bio-Mimetic Swimmers in Incompressible Fluids: Modeling, Well-Posedness, and Controllability

Introduction.- Part I: Modeling of bio-mimetic swimmers in 2D and 3D incompressible fluids.- Bio-mimetic fish-like swimmers in a 2D incompressible fluid: Empiric modeling.- Bio-mimetic aquatic frog- and clam-like swimmers in a 2D fluid: Empiric modeling.- Bio-mimetic swimmers in a 3D incompressible fluid: Empiric modeling.- Part II: Well-posedness of models for bio-mimetic swimmers in 2D and 3D incompressible fluids.- Well-posedness of 2D or 3D bio-mimetic swimmers: the case of Navier-Stokes equations.- Part III: Micromotions and local controllability for bio-mimetic swimmers in 2D and 3D incompressible fluids.- Local controllability of 2D and 3D swimmers: the case of non-stationary Stokes equations.- Local controllability of 2D and 3D swimmers: the case of Navier-Stokes equations.- Part IV: Transformations of swimmers' internal forces acting in 2D and 3D incompressible fluids.- Transformation of swimmers' forces acting in a 2D incompressible fluid.- Transformation of swimmers' forces acting in a 3D incompressible fluid.- Part V: Global steering for bio-mimetic swimmers in 2D and 3D incompressible fluids.- Swimming capabilities of swimmers in 2D and 3D incompressible fluids: Force controllability.