AbstractIn this paper we introduce a slight modification to the relaxation system of Jin and Xin which approximates a conservation law. The proposed alternate system satisfies an integral constraint that is more consistent than the standard one while retaining the semilinear structure. We establish L∞ estimates under the usual subcharacteristic condition and also construct a convex entropy
ation scheme, discrete entropy inequalities. Abstract. A relaxation scheme is derived to approximate...
In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jin a...
. The theory of materials with internal state variables of Coleman and Gurtin [CG] provides a natura...
AbstractIn this paper, the weakly nonlinear limit for the relaxation approximation of conservation l...
AbstractWe explicitly construct a convex entropy function for a hyperbolic system with relaxation. T...
Abstract. We study relaxation approximations to solutions of a 2 × 2 triangular system of conservati...
We show the discrete lip"+-stability for a relaxation scheme proposed by Jin and Xin (1995, Com...
AbstractIn this paper we study the asymptotic equivalence of a general system of 1-D conservation la...
The semilinear relaxation was introduced by Jin and Xin [Comm. Pure Appl. Math. 48, 235{276, 1995] i...
We consider a 2 x system of conservation laws including a stiff relaxation term. Well-posedness of t...
In this paper we study the cell entropy inequality for two classes of the fully discrete relaxing sc...
AbstractWe present a new relaxation approximation to scalar conservation laws in several space varia...
Here we consider the scalar convex conservation laws in one space dimen-sion with strictly convex u...
A stiff system of conservation laws is analyzed with a difference method. The existence of entropy-s...
A stiff system of conservation laws is analyzed with a difference method. The existence of entropy-s...
ation scheme, discrete entropy inequalities. Abstract. A relaxation scheme is derived to approximate...
In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jin a...
. The theory of materials with internal state variables of Coleman and Gurtin [CG] provides a natura...
AbstractIn this paper, the weakly nonlinear limit for the relaxation approximation of conservation l...
AbstractWe explicitly construct a convex entropy function for a hyperbolic system with relaxation. T...
Abstract. We study relaxation approximations to solutions of a 2 × 2 triangular system of conservati...
We show the discrete lip"+-stability for a relaxation scheme proposed by Jin and Xin (1995, Com...
AbstractIn this paper we study the asymptotic equivalence of a general system of 1-D conservation la...
The semilinear relaxation was introduced by Jin and Xin [Comm. Pure Appl. Math. 48, 235{276, 1995] i...
We consider a 2 x system of conservation laws including a stiff relaxation term. Well-posedness of t...
In this paper we study the cell entropy inequality for two classes of the fully discrete relaxing sc...
AbstractWe present a new relaxation approximation to scalar conservation laws in several space varia...
Here we consider the scalar convex conservation laws in one space dimen-sion with strictly convex u...
A stiff system of conservation laws is analyzed with a difference method. The existence of entropy-s...
A stiff system of conservation laws is analyzed with a difference method. The existence of entropy-s...
ation scheme, discrete entropy inequalities. Abstract. A relaxation scheme is derived to approximate...
In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jin a...
. The theory of materials with internal state variables of Coleman and Gurtin [CG] provides a natura...