Uniqueness of Solutions on the Whole Time Axis to the Navier-Stokes Equations in Unbounded Domains
From MaRDI portal
Publication:3467555
DOI10.1080/03605302.2015.1054938zbMath1334.35203OpenAlexW1926965512MaRDI QIDQ3467555
Yasushi Taniuchi, Tomoyuki Nakatsuka, Reinhard Farwig
Publication date: 3 February 2016
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2015.1054938
uniquenessunbounded domainsmild solutionsNavier-Stokes systemalmost periodic solutionsprecompact range solutions
Related Items (5)
Remark on the strong solvability of the Navier-Stokes equations in the weak \(L^n\) space ⋮ Time periodic strong solutions to the incompressible Navier-Stokes equations with external forces of non-divergence form ⋮ On time-periodic Navier-Stokes flows with fast spatial decay in the whole space ⋮ A remark on the uniqueness of Kozono-Nakao's mild \(L^3\)-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains ⋮ Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in \(L^3\)
Cites Work
- Unnamed Item
- Unnamed Item
- On uniqueness of stationary solutions to the Navier-Stokes equations in exterior domains
- Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions
- Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains
- Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
- The Stokes and Navier-Stokes equations in an aperture domain
- On the uniqueness of time-periodic solutions to the Navier-Stokes equations in unbounded domains
- \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
- On the semigroup of the Stokes operator for exterior domains in L q- spaces
- \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- Existence, uniqueness and attainability of periodic solutions of the Navier-Stokes equations in exterior domains
- On the Oseen equation in the three dimensional exterior domains
- On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations
- On stability of Navier-Stokes flows in exterior domains
- Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body
- Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
- Periodic solutions of the Navier-Stokes equations in unbounded domains
- Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains
- Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in \(L^3\)
- An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains
- UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
- Uniqueness of Steady Navier-Stokes Flows in Exterior Domains
- A solution formula for the Stokes equation in Rn+
- Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space
- Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity
- On the Stokes and Navier-Stokes System for Domains with Noncompact Boundary in Lq-spaces
- Sur l'unicité dans L3ℝ3 des solutions « mild » des équations de Navier-Stokes
- Uniqueness criterion of weak solutions to the stationary Navier–Stokes equations in exterior domains
- HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES
- Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data
- Navier–Stokes equations in aperture domains: Global existence with bounded flux and time‐periodic solutions
- Periodic solutions of the Navier-Stokes equations in a perturbed half-space and an aperture domain
This page was built for publication: Uniqueness of Solutions on the Whole Time Axis to the Navier-Stokes Equations in Unbounded Domains
