Initial-Boundary value problem of the Navier-Stokes equations in the half space with nonhomogeneous data

2018/06/07 by Chang, Tongkeun, Jin, Bum Ja
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.02518

Abstract

This paper discusses the solvability (global in time) of the initial-boundary value problem of the Navier-stokes equations in the half space when the initial data h∈ B_{q σ}^α-(2)/(q)(\R₊) and the boundary data g∈ B_q^{α-(1)/(q),(\al)/(2)-(1)/(2q)}(\mathbb R^n-1× \mathbb R₊) with g_n∈ B^{\frac12 α}_q (\mathbb R₊; B^-\frac1q_q (\mathbb R^n-1))∩ L^q(\mathbb R₊;B^α-(1)/(q)(\Rn)), for any 0

Related

• Initial-boundary value problem of the Navier-Stokes system in the half space
• Solvability of the Initial-Boundary value problem of the Navier-Stokes equations with rough data
• Global in time solvability of the Navier-Stokes equations in the half-space
• Navier-Stokes equations in the half space with non compatible data
• Global well-posedness of the half space problem of the Navier-Stokes equations in critical function spaces of limiting case