book chapter · Progress in nonlinear differential equations and their applications · 2009
Inverse Piston Problem
Cited by 0Abstract and details only
Abstract
Suppose that a piston originally located at the origin at t = 0 moves with the speed υ p = φ(t) (t ≥ 0) in a tube whose the length is assumed to be infinite and that the gas on the right side of the piston possesses an isentropic state. In order to determine the state of the gas on the right side of this piston, in Lagrangian representation this piston problem reduces to the following mixed initial-boundary value problem for the system with the initial data and the boundary condition where τ is the specific volume, u the velocity, and p = p(τ) the pressure. For polytropic gases, where γ > 1 is the adiabatic exponent and A is a positive constant.
Cite this paper
Li, T., & Wang, L. (2009). Inverse Piston Problem. Progress in nonlinear differential equations and their applications, 209–243. https://doi.org/10.1007/b78335_10
Li, Tatsien, and Libin Wang. “Inverse Piston Problem.” Progress in nonlinear differential equations and their applications, 2009, pp. 209–43, https://doi.org/10.1007/b78335_10.
Li, Tatsien, and Libin Wang. 2009. “Inverse Piston Problem.” Progress in nonlinear differential equations and their applications: 209–43. https://doi.org/10.1007/b78335_10.
Li, T. and Wang, L. (2009) ‘Inverse Piston Problem’, Progress in nonlinear differential equations and their applications, pp. 209–243. Available at: https://doi.org/10.1007/b78335_10.
@incollection{li2009inverse,
title = {{Inverse Piston Problem}},
author = {Li, Tatsien and Wang, Libin},
booktitle = {Progress in nonlinear differential equations and their applications},
pages = {209--243},
year = {2009},
doi = {10.1007/b78335_10}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.