Uniform regularity for a density-dependent incompressible Gross-Pitaevskii-Navier-Stokes system
DOI10.4171/ZAA/1694zbMath1503.35130OpenAlexW4221021197MaRDI QIDQ2107764
Tong Tang, Jishan Fan, Gen Nakamura
Publication date: 2 December 2022
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1694
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Uniform local well-posedness for the density-dependent magnetohydrodynamic equations
- The Cauchy problem for quasi-linear Schrödinger equations
- Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain
- The general quasilinear ultrahyperbolic Schrödinger equation
- Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations
- Low Mach number limit of the full Navier-Stokes equations
- Low Mach number limit of full Navier-Stokes equations in a 3D bounded domain
- Variable coefficient Schrödinger flows for ultrahyperbolic operators
- Asymptotic limit of the Gross-Pitaevskii equation with general initial data
- Commutator estimates and the euler and navier-stokes equations
- On the vanishing viscosity in the Cauchy problem for the equations of a nonhomogeneous incompressible fluid
- The incompressible limit of the non-isentropic Euler equations
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