A FREE-BOUNDARY PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF A VISCOUS-GAS

Authors
WANG JY JIANG J LU XR
Citation
Jy. Wang et al., A FREE-BOUNDARY PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF A VISCOUS-GAS, Chinese annals of mathematics. Ser. B, 14(4), 1993, pp. 411-418
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Chinese annals of mathematics. Ser. B → ACNP
ISSN journal
02529599
Volume
14
Issue
4
Year of publication
1993
Pages
411 - 418
Database
ISI
SICI code
0252-9599(1993)14:4<411:AFPFOE>2.0.ZU;2-K
Abstract
Utilizing the unique solution (w(s),z(s)) to the singular nonlinear tw o-point boundary value problem (1.11), the authors construct a unique self-similar solution (phi(t),v(x,t),u(x,t)) = (Yt,v(x/t),u(x/t)) to t he free boundary problem (1.1)-(1.6), in which (1.1) and (1.2) are one -dimensional equations of a viscous gas. The arguments are elementary which involve only the use of the shooting method and the integral rep resentations for (w(s),z(s)).