Underresolved numerical schemes for hyperbolic conservation laws with stiff relaxation
terms may generate unphysical spurious numerical results or reduce to lower order if the …

This paper deals with the possibility to model phase transitions by using a Maxwell's rate-
type viscoelastic constitutive equation. Piecewise linear constitutive equations for elastic and …

In the present paper, the evolutionary behavior of weak shock waves propagating in an
unsteady one-dimensional flow in non-ideal radiating gas under the effect of transverse …

针对飞机超声速机动飞行条件下的超声爆问题, 基于广义Tricomi 方程建立了表征焦散线附近
压力波强非线性演化过程的空间模型, 采用伪时间步推进和算子分裂算法, 结合时域和频域方法 …

This paper compares an elastic model of van der Waals type for phase transitions with a
Maxwell type viscoelastic model which has in equilibrium the same pressure-volume …

A Maxwell's rate-type fluid without shear stresses is considered. A constitutive equation
relating linearly the rate of pressure p to the rate of density ϱ and the rate of absolute …

A new algorithm for the numerical solution of stiff hyperbolic relaxation systems is presented.
It is an extremely simple characteristic-based, fully-discrete, explicit, second-order scheme …

A relaxation model was proposed in [Shi Jin and Zhouping Xin, Comm. Pure Appl. Math. 48
(1995), 555–563] to approximate the hyperbolic systems numerically under the …

In this paper we consider a 2× 2 relaxation hyperbolic system of conservation laws with a
boundary effect, and we show that the solutions of this initial boundary problem tend to the …

We consider the behavior of solutions to the system ut+ vx= 0, vt+ ux=(αu-v)/τ as the
relaxation parameter τ approaches 0. If the subcharacteristic condition| α|≤ 1 is satisfied …