MAITY, Debayan; TAKAHASHI, Takéo; TUCSNAK, Marius

doi:10.1007/s00021-016-0293-2

Metadatos

Licencia de uso del documento

MAITY, Debayan
Center for Applicable Mathematics [Bangalore] [TIFR-CAM]

TAKAHASHI, Takéo
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
Institut Élie Cartan de Lorraine [IECL]

TUCSNAK, Marius
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

Journal of Mathematical Fluid Mechanics. 2017, vol. 19, n° 3, p. 551-579

Springer Verlag

Resumen en inglés

We study a free boundary problem modelling the motion of a piston in a viscous gas. The gas-piston system fills a cylinder with fixed extremities, which possibly allow gas from the exterior to penetrate inside the cylinder. The gas is modeled by the 1D compressible Navier-Stokes system and the piston motion is described by the second Newton's law. We prove the existence and uniqueness of global in time strong solutions. The main novelty brought in by our results is that they include the case on nonhomogeneous boundary conditions which, as far as we know, have not been studied in this context. Moreover, even for homogeneous boundary conditions, our results require less regularity of the initial data than those obtained in previous works.< Leer menos

Palabras clave en inglés

fluid-particle interaction

Compressible Navier-Stokes System

Metadatos

Compartir este ítem

Licencia de uso del documento

Analysis of a system modelling the motion of a piston in a viscous gas

Idioma

Este ítem está publicado en

Resumen en inglés

Palabras clave en inglés

URI

DOI

Orígen

Centros de investigación