Stability of the global weak axisymmetric solution to the quantum Euler system with vorticity in dimension \(d=2\)
DOI10.1007/s10440-024-00663-0zbMATH Open1547.35521MaRDI QIDQ6611145
Boris Haspot, Marc-Antoine Vassenet
Publication date: 26 September 2024
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
axisymmetric solutionsfluids mechanicscompressible Euler system with quantum pressurestability of the global weak solution
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness of the Euler-Korteweg system for small irrotational data
- The quantum hydrodynamics system in two space dimensions
- On the finite energy weak solutions to a system in quantum fluid dynamics
- From the Gross-Pitaevskii equation to the Euler Korteweg system, existence of global strong solutions with small irrotational initial data
- Genuine hydrodynamic analysis to the 1-D QHD system: existence, dispersion and stability
- Structure of Korteweg models and stability of diffuse interfaces
- On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models
- An intrinsically hydrodynamic approach to multidimensional QHD systems
- Madelung, Gross–Pitaevskii and Korteweg
- Fujita–Kato solution for compressible Navier–Stokes equations with axisymmetric initial data and zero Mach number limit
- Existence of multi-travelling waves in capillary fluids
- Stability properties of the Euler–Korteweg system with nonmonotone pressures
- Small energy traveling waves for the Euler–Korteweg system
- On the well-posedness for the Euler-Korteweg model in several space dimensions
- Introduction to nonlinear dispersive equations
- Maximal functions associated to filtrations
This page was built for publication: Stability of the global weak axisymmetric solution to the quantum Euler system with vorticity in dimension \(d=2\)