On the exterior steady problem for the equations of a viscous isothermal gas

 Access to full text

 Full (PDF)

 Access to full text

1. Beirâo 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. MR0964034
2. Finn R., On the exterior stationary problem for the Navier-Stokes equations and associated perturbation problems, Arch. Ratl. Mech. Anal. 19 363-406. Zbl0149.44606MR0182816
3. Friedrichs K.O., Symmetric positive linear differential equations, Comm. Pur. Appl. Math. 11 333-418. Zbl0083.31802MR0100718
4. Fujita Yashima H., Sur l'équation de Navier-Stokes compressible stationaire, VII Congresso do Grupo ne Matematicos de Expressâo Latina, Actas vol. II, Coimbra. 
5. Galdi G.P., On the Oseen boundary-value problem in exterior domains, Proc. of ``The Navier-Stokes Equations Theory and Numerical Methods'', J.G. Heywood, K. Masuda, R. Rautmann, V.A. Solonnikov eds., Oberwolfach. Zbl0783.35047
6. Galdi G.P., On the energy equation and on the uniqueness for $D$-solutions to steady Navier-Stokes equations in exterior domains, Mathematical Problems related to the Navier- Stokes Equation, Galdi G.P. ed., Adv. in Math. for Appl. Sci., 34-78. Zbl0791.35099MR1190729
7. Galdi G.P., On the asymptotic structure of $D$-solutions to steady Navier-Stokes equations in exterior domains, Mathematical Problems related to the Navier-Stokes Equation, Galdi G.P. ed., Adv. in Math. for Appl. Sci. Zbl0794.35111MR1190730
8. Galdi G.P., An Introduction to the Mathematical Theory of the Navier-Stokes Equations, vol. I Linearized Stationary Problems, Springer Tracts in Natural Philosophy. Zbl0949.35005MR1284205
9. Matsumura A., Fundamental solution of the linearized system for the exterior stationary problem of compressible viscous flow, Pattern and Waves, Studies in Math. and its Appl. 18 481-505. Zbl0637.76064MR0882390
10. Matsumura A., Nishida T., Exterior stationary problems of motion of compressible viscous and heat-conductive fluids, Proc. EQUADIFF, Dafermos & Ladas & Papanicolau eds., M. Dekker Inc., 473-479. MR1021749
11. Novotný A., Padula M. (forthcoming), $L^p$-approach to steady flows of viscous compressible fluids in exterior domains, . 
12. Padula M., Stability properties of heat-conducting compressible regular flows, J. Math. Kyoto Univ. 32 178-222. MR1173972
13. Padula M., A representation formula for steady solutions of a compressible fluid moving at low speed, Transport Theory and Statistical Physics 21 (1992), 593-614. (1992) MR1194463
14. Padula M., Pileckas C. (forthcoming), Steady flows of a viscous ideal gas in domains with noncompact boundaries: I. Existence and asymptotic behavior in a pipe, . 
15. Simader C.G., The weak Dirichlet and Neumann problem for the laplacian in $L^q$ for bounded and exterior domains, Applications, Nonlinear Analysis, Function Spaces and Applications 4, M. Krbec, A. Kufner, B. Opic, J. Rákosník eds., 180-250. MR1151436

1. Antonín Novotný, About steady transport equation I – $L^p$-approach in domains with smooth boundaries
2. Antonín Novotný, Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method