Global solutions for two-dimensional viscous pressureless flows with large variations of density
DOI10.2140/pmp.2024.5.55OpenAlexW4391360820MaRDI QIDQ6151637
Publication date: 12 February 2024
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pmp.2024.5.55
uniquenessglobal solutionsLorentz spacescritical regularitybounded densitylarge density variationpressureless gases
Smoothness and regularity of solutions to PDEs (35B65) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ordinary differential equations, transport theory and Sobolev spaces
- An existence theorem for compressible viscous fluids
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Lorentz spaces in action on pressureless systems arising from models of collective behavior
- Global Fujita-Kato solution of 3-d inhomogeneous incompressible Navier-Stokes system
- A well-posedness result for viscous compressible fluids with only bounded density
- On a class of interpolation spaces
- The Incompressible Navier‐Stokes Equations in Vacuum
- Global unique solutions for the inhomogeneous Navier-Stokes equations with only bounded density, in critical regularity spaces
- Critical regularity issues for the compressible Navier-Stokes system in bounded domains
- Compressible Navier‐Stokes equations with ripped density
This page was built for publication: Global solutions for two-dimensional viscous pressureless flows with large variations of density
