Inverse piston problem for the system of one-dimensional isentropic flow

DOI10.1007/s11401-006-0423-xzbMath1134.35108OpenAlexW2008059143MaRDI QIDQ2385389

Li-bin Wang, Ta-Tsien Li

Publication date: 12 October 2007

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-006-0423-x

zbMATH Keywords

inverse piston problempiston velocity1D isentropic flowforward shock

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Inverse problems for PDEs (35R30) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

An inverse problem for determining the shape of the wedge in steady supersonic potential flow ⋮ Stability of multidimensional phase transitions in a steady van der Waals flow ⋮ Propagation of density-oscillations in solutions to the compressible Navier-Stokes-Poisson system ⋮ Direct problem and inverse problem for the supersonic plane flow past a curved wedge ⋮ An Overview of Piston Problems in Fluid Dynamics ⋮ An inverse problem for supersonic flow past a curved wedge

Cites Work

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• Global shock solutions to a class of piston problems for the system of one dimensional isentropic flow
• Existence and uniqueness of global solution to an inverse piston problem
• Exact shock reconstruction

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