Kinks versus shocks. (English) Zbl 0818.76036
Dunn, J. E. (ed.) et al., Shock induced transitions and phase structures in general media. Papers of a workshop, held in Minneapolis, MN, USA, Oct. 1990. New York: Springer-Verlag. IMA Vol. Math. Appl. 52, 185-229 (1993).
A unified discussion of the determinancy for phase transitions is carried out. In particular, the author treats the processes permitted by the conservation laws but excluded due to dissipation and nonlocality. Two types of discontinuous solutions, which occur naturally in a quasilinear hyperbolic or mixed type system of conservation laws are considered: shocks, supersonic with respect to particles ahead of it, and subsonic kinks. An extended model of continuum capable of describing “thick” interface and incorporating a weak form of nonlocality with different dissipative mechanisms is presented.
For the entire collection see [Zbl 0782.00063].
For the entire collection see [Zbl 0782.00063].
Reviewer: M.Simersky (Praha)
MSC:
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 76T99 | Multiphase and multicomponent flows |
| 74J10 | Bulk waves in solid mechanics |
| 80A22 | Stefan problems, phase changes, etc. |
