摘要:

In this paper, we study a diffusive limit of a semilinear hyperbolic system with relaxation. For a Cauchy problem with initial data prescribed around a weak traveling wave solution, we rigorously justify this limit using the energy method under a rather weak characteristic condition, called the diffusive subcharacteristic condition.

ISSN:0041-1450    

DOI:10.1080/00411450008205894

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

We prove the global existence in time of solution for the discrete Boltzmann equation with linear and quadratic terms in 1 space dimension, provided that the velocities are distinct and that initial data are nonnegative and of locally finite entropy.

ISSN:0041-1450    

DOI:10.1080/00411450008205895

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

A survey of the various concepts and results associated with the namewavein kinetic theory is given.

ISSN:0041-1450    

DOI:10.1080/00411450008205896

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

A vector equation describing the motion of a vortex filament in an external flow under the localized induction approximation is considered. The initial-boundary value problem for it is proved to have at least a solution when both ends of the filament are fixed. Unlike the case without an external flow, the stretch and shrink of the filament generally occur. But, for our solution, they are finite at any finite time.

ISSN:0041-1450    

DOI:10.1080/00411450008205897

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411450008205873

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor