Global well-posedness of the Navier-Stokes equations in homogeneous Besov spaces on the half-space
DOI10.1016/j.jmaa.2023.127680zbMath1528.35101OpenAlexW4385814081MaRDI QIDQ6058856
Publication date: 1 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127680
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Global \(L^ n\)-solution and its decay property for the Navier-Stokes equations in half-space \(R^ n_ +\)
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- End-point maximal regularity and its application to two-dimensional Keller-Segel system
- A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Asymptotics and stability for global solutions to the Navier-Stokes equations.
- The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force
- On the Navier-Stokes equations in the half-space with initial and boundary rough data in Morrey spaces
- Global well-posedness for the incompressible Navier-Stokes equations in the critical Besov space under the Lagrangian coordinates
- Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations
- The functional calculus for sectorial operators
- Analysis in Banach Spaces
- A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
- Fourier Analysis and Nonlinear Partial Differential Equations
- Vector-valued Laplace Transforms and Cauchy Problems
- Critical functional framework and maximal regularity in action on systems of incompressible flows
- Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
- A solution formula for the Stokes equation in Rn+
- One-Parameter Semigroups for Linear Evolution Equations
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- ANALYTICITY FOR THE STOKES OPERATOR IN BESOV SPACES
- Strong Solutions To The Incompressible Navier Stokes Equations In The Half Space
- NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO
- On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
- Well-posedness for the Navier-Stokes equations
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