Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids

DOI10.3934/eect.2020071zbMath1476.35176OpenAlexW3034758723MaRDI QIDQ2062173

Yongjin Lu, Xin Liu, Xin-Guang Yang

Publication date: 24 December 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020071

zbMATH Keywords

semigroupglobal attractorcompressible non-Newtonian fluids

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and exponential stability of solutions to the one-dimensional full non-Newtonian fluids
• Dynamics of quasi-stable dissipative systems
• Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model
• Universal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equations
• Global strong solutions for a class of heat-conducting non-Newtonian fluids with vacuum
• On the solvability of the Navier-Stokes equations for a compressible non-Newtonian fluid
• Global existence and uniqueness of solution of the initial-boundary value problem for a class of non-Newtonian fluids with vacuum
• Nonexistence results for a compressible non-Newtonian fluid with magnetic effects in the whole space
• Dimensionless non-Newtonian fluid mechanics
• Unique solvability for a class of full non-Newtonian fluids of one dimension with vacuum
• Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
• On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
• Infinite-dimensional dynamical systems in mechanics and physics
• On initial boundary value problems for a viscous, heat-conducting, one- dimensional real gas
• Existence, uniqueness, and stability of solutions to the initial boundary value problem for bipolar viscous fluids
• Large-time behavior of solutions to the equations of a viscous polytropic ideal gas
• Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids
• Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas
• \(L^2\) decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space.
• Large time behavior to the system of incompressible non-Newtonian fluids in \(\mathbb{R}^2\)
• On the cauchy problem for a one-dimensional full compressible non-Newtonian fluids
• Long-time behavior of second order evolution equations with nonlinear damping
• Von Karman Evolution Equations
• On The Coupled Cahn-hilliard Equations
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations
• Singular limits in thermodynamics of viscous fluids
• Regularization of a non-Newtonian system in an unbounded channel: Existence of a maximal compact attractor
• Global existence and asymptotic behavior for a viscous, heat-conductive, one-dimensinal real gas with fixed and thermally insulated endpoints

This page was built for publication: Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids