# Navier-Stokes problems in half space with parameters

## TL;DR

This paper establishes existence, uniqueness, and uniform estimates for solutions of parameter-dependent Navier-Stokes problems in half spaces, including applications to Wentzell-Robin boundary conditions.

## Contribution

It provides new results on the solvability and estimates for Navier-Stokes equations with parameters and boundary conditions in half spaces.

## Key findings

- Existence and uniqueness of solutions with parameter dependence
- Uniform L^p estimates for solutions
- Application to Wentzell-Robin boundary problems

## Abstract

The existence, uniqueness and uniformly estimates for solutions of the parameter dependent abstract Navier-Stokes problem on half space are derived. In application the existence, uniqueness and uniformly L^{p} estimates for solution of the Wentzell-Robin type mixed problem for Navier-Stokes equation is established.