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

Author:

Maity Debayan,Takahashi Takéo,Tucsnak Marius

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Reference22 articles.

1. Antman S.S., Wilber J.P.: The asymptotic problem for the springlike motion of a heavy piston in a viscous gas. Q. Appl. Math. 65, 471–498 (2007)

2. Beirão da Veiga H.: Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow. Rend. Sem. Mat. Univ. Padova 79, 247–273 (1988)

3. Belov S.Y.: On the initial-boundary value problems for barotropic motions of a viscous gas in a region with permeable boundaries. J. Math. Kyoto Univ. 34, 369–389 (1994)

4. Boulakia M., Guerrero S.: A regularity result for a solid-fluid system associated to the compressible Navier–Stokes equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 26, 777–813 (2009)

5. Brooks R.M.,Schmitt K.: The contraction mapping principle and some applications. In: Electronic Journal of Differential Equations, vol. 9, Monograph. Texas State University–San Marcos, Department of Mathematics, San Marcos, TX (2009)

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