This article develops a general approach to time periodic incompressible fluid flow problems
and semilinear evolution equations. It yields, on the one hand, a unified approach to various …

We show the existence of a weak solution for a system of partial differential equations
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …

We consider the full Navier–Stokes–Fourier system describing the motion of a compressible
viscous and heat conducting fluid driven by a time-periodic external force. We show the …

Well-posedness and applications of classical elastohydrodynamics for a swimming filament
Page 1 Nonlinearity PAPER • OPEN ACCESS Well-posedness and applications of classical …

抄録 The Navier-Stokes equations with time-periodic data are investigated with respect to
solutions of the same period. In the physical terms, such a system models the flow of a …

We analyze a system of PDEs governing the interaction between two compressible mutually
noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain …

We consider the unsteady compressible Navier-Stokes equations in a perforated three-
dimensional domain, and show that the limit system for the diameter of the holes going to …

We prove the existence and uniqueness of periodic motions to Stokes and Navier–Stokes
flows around a rotating obstacle D ⊂ R^ 3 D⊂ R 3 with the complement Ω= R^ 3 \ D Ω= R …

The three-dimensional Navier-Stokes system in the whole space with time-periodic data is
investigated. Both the case of a vanishing and that of a non-vanishing velocity field at spatial …

We show existence, uniqueness and spatial asymptotic behavior of a two-dimensional time-
periodic flow around a cylinder that moves orthogonal to its axis, with a time-periodic …