Basic Aspects of Hyperbolic Relaxation Systems

Theory of the transient electric birefringence response and its application to relaxation systems

The Journal of Chemical Physics ◽

10.1063/1.458203 ◽

1990 ◽

Vol 92 (12) ◽

pp. 7653-7660 ◽

Cited By ~ 2

Author(s):

Iwao Teraoka ◽

Reinosuke Hayakawa

Keyword(s):

Electric Birefringence ◽

Relaxation Systems ◽

Transient Electric Birefringence

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WEAKLY NONLINEAR LONG-TIME BEHAVIOR OF SOLUTIONS TO A HYPERBOLIC RELAXATION SYSTEMS

EQUADIFF 2003 ◽

10.1142/9789812702067_0111 ◽

2005 ◽

Author(s):

R. ORIVE

Keyword(s):

Time Behavior ◽

Long Time Behavior ◽

Weakly Nonlinear ◽

Long Time ◽

Relaxation Systems

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Variants of Relaxation Schemes and the Lattice Boltzmann Model Relaxation Systems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-642-18775-9_6 ◽

2004 ◽

pp. 89-101

Author(s):

Mapundi Kondwani Banda

Keyword(s):

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Relaxation Schemes ◽

Relaxation Systems ◽

Boltzmann Model

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Relaxation Systems of the Skin for the Closure of Large Mammary Defects

Cirugía Española (English Edition) ◽

10.1016/j.cireng.2019.11.017 ◽

2020 ◽

Vol 98 (3) ◽

pp. 154-157

Author(s):

Itamar Ashkenazi ◽

Oded Olsha ◽

Moris Topaz

Keyword(s):

Relaxation Systems

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On one bifurcation in relaxation systems

Ukrainian Mathematical Journal ◽

10.1007/s11253-008-0042-7 ◽

2008 ◽

Vol 60 (1) ◽

pp. 66-77 ◽

Cited By ~ 2

Author(s):

A. Yu. Kolesov ◽

E. F. Mishchenko ◽

N. Kh. Rozov

Keyword(s):

Relaxation Systems

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

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202520500268 ◽

2020 ◽

Vol 30 (07) ◽

pp. 1407-1439

Author(s):

Yizhou Zhou ◽

Wen-An Yong

Keyword(s):

Boundary Conditions ◽

Asymptotic Solutions ◽

Energy Estimates ◽

Relaxation Systems ◽

Linearized Model ◽

Well Posed

Starting with this paper, we intend to develop a program aiming at construction of boundary conditions (BCs) for hyperbolic relaxation systems. Physically, such BCs are not always available. The construction is based on the assumption that the relaxation systems and well-posed BCs for the corresponding equilibrium systems are given. This paper focuses on the linearized Suliciu model. We obtain strictly dissipative and compatible BCs for the linearized model with different non-characteristic boundaries. Moreover, the effectiveness of the constructed BCs is shown by resorting to formal asymptotic solutions and energy estimates.

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