Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and

We prove that a popular classical implicit-explicit scheme for the 2D incompressible Navier–Stokes equations that treats the viscous term implicitly while the nonlinear advection

Parabolic Morrey spaces and mild solutions to Navier–Stokes equa- tions.... Parabolic Morrey spaces and mild solutions to

Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing

TEMAM, Local existence of C~ solutions of the Euler equations of incompressible perfect fluids, in Proc. TEMAM, Navier-Stokes Equations and Nonlinear Functional Analysis,

The instationary Stokes and Navier − Stokes equations are considered in a simultaneously space-time variational saddle point formulation, so involving both velocities u and pressure

We consider a family of weights which permit to generalize the Leray procedure to obtain weak suitable solutions of the 3D incom- pressible Navier–Stokes equations with initial data

Recently, Huang–Li–Xin [10] established the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier–Stokes equations

Inhomogeneous incompressible Navier-Stokes equations, Boussinesq equations with no diffu- sion, critical regularity, striated regularity, free boundary value problem, two-phase