Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force

DOI10.3934/dcdsb.2022040zbMath1498.35441OpenAlexW4226263200WikidataQ115483601 ScholiaQ115483601MaRDI QIDQ2081981

Mengmeng Zhu, Yunfei Su, Lei Yao

Publication date: 30 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022040

zbMATH Keywords

relative entropyexponential decayglobal weak solutionsBresch-Desjardins entropytwo-and-a-half layer model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Liquid-liquid two component flows (76T06)

Related Items (2)

Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model ⋮ Large time behavior of solutions to a reduced gravity two and a half layer model with damping

Cites Work

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• Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system
• Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities
• Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution
• On the compactness of the reduced-gravity two-and-a-half layer equations
• Helically symmetric solutions to the 3D Navier-Stokes equations for compressible isentropic fluids
• About the barotropic compressible quantum Navier-Stokes equations
• Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior
• On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term
• Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities
• Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model
• Global existence and optimal decay rates of solutions to a reduced gravity two and a half layer model
• Global existence of finite energy weak solutions of quantum Navier-Stokes equations
• On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models
• Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
• Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
• Global Weak Solutions to the Compressible Quantum Navier--Stokes Equations with Damping
• On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations
• On the Low Mach Number Limit for Quantum Navier--Stokes Equations
• Derivation of viscous correction terms for the isothermal quantum Euler model
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
• Existence of global weak solution for a reduced gravity two and a half layer model
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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