Solving the Navier-Stokes equation for a viscous incompressible fluid in an \(n\)-dimensional bounded region and in the entire space \(\mathbb{R}^n\)
DOI10.1007/s10598-023-09570-9zbMath1529.35325OpenAlexW4362608159MaRDI QIDQ6136334
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Publication date: 29 August 2023
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10598-023-09570-9
Navier-Stokes equationsturbulenceLagrangian variablesTaylor vorticesequations of parabolic typeprior bounds
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Isotropic turbulence; homogeneous turbulence (76F05) Viscous vortex flows (76D17) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Classical solutions to PDEs (35A09)
Cites Work
- On the strong solvability of the Navier-Stokes equations
- Mathematical problems for the next century
- On Landau's solutions of the Navier-Stokes equations
- Lp-Solutions of the Steady-State Navier–Stokes Equations with Rough External Forces
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Asymptotic behaviour of solutions to the stationary Navier–Stokes equations in two-dimensional exterior domains with zero velocity at infinity
- Well-posedness for the Navier-Stokes equations
- On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain
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