\(L^s(L^q)\)-estimates of the pressure -- the proof of Sohr-von Wahl and its impact on mathematical fluid dynamics
From MaRDI portal
Publication:6139355
DOI10.1007/s00013-023-01899-2zbMath1530.35186OpenAlexW4385954172MaRDI QIDQ6139355
Publication date: 18 December 2023
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-023-01899-2
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) History of partial differential equations (35-03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the regularity of the pressure of weak solutions of Navier-Stokes equations
- Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
- Regularitätsfragen für die instationären Navier-Stokesschen Gleichungen in höheren Dimensionen
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Partial regularity of solutions to the Navier-Stokes equations
- Hausdorff measure and the Navier-Stokes equations
- Estimates for solutions of nonstationary Navier-Stokes equations
- \(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces
- On the strong solvability of the Navier-Stokes equations
- On the closedness of the sum of two closed operators
- Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov's theorem
- From Jean Leray to the millennium problem: the Navier-Stokes equations
- A pressure associated with a weak solution to the Navier-Stokes equations with Navier's boundary conditions
- On the local regularity of suitable weak solutions to the generalized Navier-Stokes equations
- The Stokes operator in weighted \(L^q\)-spaces. II: Weighted resolvent estimates and maximal \(L^p\)-regularity
- A new proof of partial regularity of solutions to Navier-Stokes equations
- An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- The Equation u ′ + A (t )u = f in a Hilbert Space and LP -Estimates For Parabolic Equations
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
This page was built for publication: \(L^s(L^q)\)-estimates of the pressure -- the proof of Sohr-von Wahl and its impact on mathematical fluid dynamics