This paper is concerned with estimates of the gradient of the solutions to the Stokes IBVP both in a bounded and in an exterior domain. More precisely, we look for estimates of the kind |∇v(t)|q ≤ g(t)|∇v0|p, q ≥ p > 1, for all t > 0, where function g is independent of v.

On the Lp–Lq estimates of the gradient of solutions to the Stokes problem

Paolo Maremonti
2019

Abstract

This paper is concerned with estimates of the gradient of the solutions to the Stokes IBVP both in a bounded and in an exterior domain. More precisely, we look for estimates of the kind |∇v(t)|q ≤ g(t)|∇v0|p, q ≥ p > 1, for all t > 0, where function g is independent of v.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/404140
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