期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (6)
We study the connection between atomistic and continuum models for the elastic deformation of crystalline solids at finite temperature. We prove, unde......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (2)
We propose a central scheme framework for the approximation of hyperbolic systems of conservation laws in any space dimension. The new central schemes......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (4)
In this paper, we shall study the initial-boundary value problem of a mathematical model describing the branching of capillary sprouts during angiogen......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (3)
We establish the existence of global martingale solutions of the stochastic Camassa-Holm equation in H-1(R). The construction of the solution is based......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (3)
This paper is concerned with a mathematical model of competition for resource where species consume noninteracting resources. This system of different......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (7)
Chemical vapor infiltration (CVI) is an important engineering process for manufacturing composite materials. Reaction-diffusion of the reactant gas an......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (3)
We consider the stabilization of linear kinetic equations with a random relaxation term. The well-known framework of hypocoercivity by J. Dolbeault, C......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (3)
This paper studies the pricing problem for callable-puttable convertible bonds with call-put protections and call notice period as a Dynkin game via t......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (5)
This paper is concerned with large-time behavior of solutions to the outflow problem of full compressible Navier-Stokes equations in the half line. Th......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (6)
We develop in this work a numerical method for stochastic differential equations (SDEs) with weak second-order accuracy based on Gaussian mixture. Unl......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (2)
In this paper, we study the Cauchy problem for quantum Zakharov system in three space dimensions. We prove that the quantum Zakharov system scatters i......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (4)
The interaction of elementary waves for isentropic flow in a variable cross-section duct is obtained [W.C. Sheng and Q.L. Zhang, Commun. Math. Sci., 1......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (7)
We are concerned with global weak solutions to the isentropic compressible Euler equations with cylindrically symmetric rotating structure, in which t......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (5)
This paper is concerned with the Cauchy problem of a bipolar hydrodynamic model for semiconductor device, a system of one dimensional Euler-Poisson eq......
期刊： COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (3)
Frozen Gaussian approximation (FGA) has been applied and numerically verified as an efficient tool to compute high-frequency wave propagation modeled ......
