Construction of boundary conditions for hyperbolic relaxation approximations I: The linearized Suliciu model

DOI10.1142/S0218202520500268zbMath1450.35166OpenAlexW3034229421MaRDI QIDQ5127164

Yizhou Zhou, Wen-An Yong

Publication date: 21 October 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202520500268

zbMATH Keywords

asymptotic solutionscompatibilityhyperbolic relaxation systemsstrict dissipativeness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items (3)

Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I ⋮ Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II

Cites Work

• Newtonian limit of Maxwell fluid flows
• The energy in one-dimensional rate-type semilinear viscoelasticity
• Singular perturbations of first-order hyperbolic systems with stiff source terms
• Materials with internal variables and relaxation to conservation laws
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• Moment closure hierarchies for kinetic theories.
• Numerical simulation of microflows using moment methods with linearized collision operator
• NR$xx$ Simulation of Microflows with Shakhov Model
• A Framework on Moment Model Reduction for Kinetic Equation
• Kinetic layers and coupling conditions for nonlinear scalar equations on networks
• Constitutive models for linear compressible viscoelastic flows of simple liquids at nanometer length scales
• Boundary conditions for hyperbolic systems with stiff source terms
• Multicomponent Transport Algorithms
• Multivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase Flow
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow
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