Global well-posedness of a system from quantum hydrodynamics for small data
From MaRDI portal
Publication:502286
DOI10.5802/cml.21zbMath1359.35138OpenAlexW2318237101MaRDI QIDQ502286
Publication date: 3 January 2017
Published in: Confluentes Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/cml.21
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Euler equations (35Q31)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- On the finite energy weak solutions to a system in quantum fluid dynamics
- Dispersive blow-up for nonlinear Schrödinger equations revisited
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- The Cauchy problem for the Gross--Pitaevskii equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Scattering for the Gross-Pitaevskii equation
- Nonlinear scattering theory at low energy
- From the Gross-Pitaevskii equation to the Euler Korteweg system, existence of global strong solutions with small irrotational initial data
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
- Madelung, Gross–Pitaevskii and Korteweg
- SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS
- Global Solutions for 3D Quadratic Schrodinger Equations
- Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
- On the well-posedness for the Euler-Korteweg model in several space dimensions
- Global solutions for the gravity water waves equation in dimension 3
This page was built for publication: Global well-posedness of a system from quantum hydrodynamics for small data
