Unique solvability for the density-dependent Navier-Stokes equations
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Publication:1887992
DOI10.1016/j.na.2004.07.020zbMath1066.35070OpenAlexW2082669824MaRDI QIDQ1887992
Publication date: 22 November 2004
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2004.07.020
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
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- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Compressible fluid flow and systems of conservation laws in several space variables
- Behaviour at time t=0 of the solutions of semi-linear evolution equations
- An existence theorem for non-homogeneous incompressible fluids
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- Solvability of nonstationary problems for nonhomogeneous incompressible fluids and the convergence with vanishing viscosity
- Regularity results for two-dimensional flows of multiphase viscous fluids
- Existence of solution for a density-dependent magnetohydrodynamic equation
- Remarks on a nonhomogeneous model of magnetohydrodynamics.
- Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
- The equations of viscous incompressible non-homogeneous fluids: on the existence and regularity
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
