A revisit to the pressureless Euler-Navier-Stokes system in the whole space and its optimal temporal decay

DOI10.1016/j.jde.2024.04.025zbMATH Open1545.35091MaRDI QIDQ6584908

Junha Kim, Jinwook Jung, Young-Pil Choi

Publication date: 8 August 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

incompressible Navier-Stokes equationsglobal well-posednessmultiphase flowspressureless Euler equationsoptimal temporal decay

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Heat equation (35K05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Three or more component flows (76T30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations
• Compressible Euler equations interacting with incompressible flow
• On Kato-Ponce and fractional Leibniz
• On the Cauchy problem for the pressureless Euler-Navier-Stokes system in the whole space
• On the Navier-Stokes initial value problem. I
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• Asymptotic problems for a kinetic model of two-phase flow
• Global Classical Solutions and Large-Time Behavior of the Two-Phase Fluid Model
• The Kato-Ponce Inequality
• A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
• Spray Combustion and Atomization
• Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.
• On the analysis of a coupled kinetic-fluid model with local alignment forces
• Optimal well-posedness for the pressureless Euler–Navier–Stokes system
• Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ³
• Modulated Energy Estimates for Singular Kernels and their Applications to Asymptotic Analyses for Kinetic Equations

Related Items (1)

Global well-posedness and large-time behavior of classical solutions to the Euler-Navier-Stokes system in \(\mathbb{R}^3\)

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