WebThe existence and uniqueness of strong solutions in Lr spaces of the initial value problem for Navier-Stokes equations are discussed. The existence of a unique strong solution is … WebOn the initial value problem for the Navier-Stokes equations inLpspaces Tetsuro MIYAKAWA (Received June 25, 1980) 1. Introduction On a bounded domainDinRn(n >3) with smooth boundarySwe consider the initial value problem for the Navier-Stokes equation (N.S) - Au + (u,grad)w + gradq=fin D x (0, T), divu' =0 inD x(0, T),
Existence of discretely self-similar solutions to the Navier-Stokes ...
WebIt can be applied to describe the motion of liquid or gas. When the 2D Navier-Stokes equations are applied, a system of three nonlinear partial differential equations (PDEs) … Web5 de mai. de 2015 · We prove that the Navier-Stokes initial value problem is well-posed in the logrithmically refined Besov spaces when the second index is not less than certain critical value, and ill-posed in such spaces when the … offliberty online downloader
ON THE SOLVABILITY OF BOUNDARY AND INITIAL- BOUNDARY VALUE PROBLEMS …
Web31 de jan. de 2024 · We consider the fundamental problems of the incompressible Navier-Stokes equations ∂ 𝒖 ∂ t + ( 𝒖 ⋅ ∇) 𝒖 = − ∇ p + ν 𝒖, (1) ∇ ⋅ 𝒖 = 0 (2) with smooth initial data of finite energy in ℝ 3. The study of the system ( 1) and ( 2) was pioneered in Ref. 18 18. J. WebWe prove the existence of a forward discretely self-similar solutions to the Navier-Stokes equations in for a discretely self-similar initial velocity belonging to . AMS Subject Classification Number: 76B03, 35Q31 … Web1 de abr. de 2024 · It is shown that, without any small initial data assumption, the Navier-Stokes-Darcy equations have a unique global strong solution in the strip domain with a flat interface. The key is to... offliberty offliberty