Semiclassical Limit of Gross--Pitaevskii Equation with Dirichlet Boundary Condition
DOI10.1137/20M1369749zbMath1484.35325arXiv1911.03241OpenAlexW2988883562MaRDI QIDQ5030388
Publication date: 17 February 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.03241
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)
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Cites Work
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- Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain
- Geometric optics and boundary layers for nonlinear-Schrödinger equations
- Loss of regularity for supercritical nonlinear Schrödinger equations
- Supercritical geometric optics for nonlinear Schrödinger equations
- On Wigner measures
- Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
- Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
- \(L^\infty\) instability of Prandtl layers
- Boundary layers and emitted excitations in nonlinear Schrödinger superflow past a disk
- Nonlinear aspects of the theory of Bose-Einstein condensates
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Asymptotic Analysis and Boundary Layers
- Semiclassical limit of the nonlinear Schrödinger equation in small time
- Wigner Measure and the Semiclassical Limit of Schrödinger--Poisson Equations
- convergence of the vlasov-poisson system to the incompressible euler equations
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