On the Cauchy problem for the pressureless Euler-Navier-Stokes system in the whole space

DOI10.1007/s00021-021-00624-9zbMath1485.76025arXiv2008.00467OpenAlexW3199436172MaRDI QIDQ2232919

Jinwook Jung, Young-Pil Choi

Publication date: 14 October 2021

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00467

zbMATH Keywords

uniquenessincompressible Navier-Stokes equationslarge-time behaviorglobal-in-time existencepressureless Euler equationskinetic-fluid modelbootstrapping argument

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (3)

Optimal well-posedness for the pressureless Euler–Navier–Stokes system ⋮ On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models ⋮ Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ³

Cites Work

• The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations
• Compressible Euler equations interacting with incompressible flow
• Formation of singularities in the Euler and Euler-Poisson equations
• Spectral dynamics of the velocity gradient field in restricted flows
• Convergence of shock capturing schemes for the compressible Euler-Poisson equations
• Large-time behavior of small-data solutions to the Vlasov-Navier-Stokes system on the whole space
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• A modeling of compressible droplets in a fluid
• Critical thresholds in 1D Euler equations with non-local forces
• Global Classical Solutions and Large-Time Behavior of the Two-Phase Fluid Model
• On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
• A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
• Large-time behavior for the Vlasov/compressible Navier-Stokes equations
• Spray Combustion and Atomization
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
• Large eddy simulation of droplet dispersion for inhomogeneous turbulent wall flow
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.
• A Modeling of Biospray for the Upper Airways
• On the analysis of a coupled kinetic-fluid model with local alignment forces
• On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models

This page was built for publication: On the Cauchy problem for the pressureless Euler-Navier-Stokes system in the whole space