Global unique solutions for the inhomogeneous Navier-Stokes equations with only bounded density, in critical regularity spaces
DOI10.1007/s00220-022-04592-7zbMath1514.35312arXiv2201.11011OpenAlexW4311715646MaRDI QIDQ6038440
Publication date: 2 May 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.11011
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Fujita-Kato theorem for the 3-D inhomogeneous Navier-Stokes equations
- Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
- Ordinary differential equations, transport theory and Sobolev spaces
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces
- Unique solvability for the density-dependent Navier-Stokes equations
- Lorentz spaces in action on pressureless systems arising from models of collective behavior
- Maximal \(L^1\) regularity for solutions to inhomogeneous incompressible Navier-Stokes equations
- Global Fujita-Kato solution of 3-d inhomogeneous incompressible Navier-Stokes system
- A well-posedness result for viscous compressible fluids with only bounded density
- Global existence for an inhomogeneous fluid
- On the Navier-Stokes initial value problem. I
- Navier-Stokes equation with variable density and viscosity in critical space
- Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
- Local and global well-posedness results for flows of inhomogeneous viscous fluids
- Global well-posedness for the \(2\)-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces
- Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
- Fourier Analysis and Nonlinear Partial Differential Equations
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Density-dependent incompressible viscous fluids in critical spaces
- The Incompressible Navier‐Stokes Equations in Vacuum
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