@article{RSMUP_1997__98__125_0, author = {Dutto, Patrick and Impagliazzo, Jean-Luc and Novotny, Antonin}, title = {Schauder estimates for steady compressible {Navier-Stokes} equations in bounded domains}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {125--139}, publisher = {Seminario Matematico of the University of Padua}, volume = {98}, year = {1997}, mrnumber = {1492973}, zbl = {0897.35062}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1997__98__125_0/} }
TY - JOUR AU - Dutto, Patrick AU - Impagliazzo, Jean-Luc AU - Novotny, Antonin TI - Schauder estimates for steady compressible Navier-Stokes equations in bounded domains JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1997 SP - 125 EP - 139 VL - 98 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1997__98__125_0/ LA - en ID - RSMUP_1997__98__125_0 ER -
%0 Journal Article %A Dutto, Patrick %A Impagliazzo, Jean-Luc %A Novotny, Antonin %T Schauder estimates for steady compressible Navier-Stokes equations in bounded domains %J Rendiconti del Seminario Matematico della Università di Padova %D 1997 %P 125-139 %V 98 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1997__98__125_0/ %G en %F RSMUP_1997__98__125_0
Dutto, Patrick; Impagliazzo, Jean-Luc; Novotny, Antonin. Schauder estimates for steady compressible Navier-Stokes equations in bounded domains. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997), pp. 125-139. http://archive.numdam.org/item/RSMUP_1997__98__125_0/
[ADN] Estimates near the boundary of solutions of elliptic partial differential equations satisfying general boundary conditions II, Comm. Pure Appl. Math., 17 (1964), pp. 35-92. | MR | Zbl
- - ,[BV1] An Lp theory for the n dimensional, stationary compressible Navier-Stokes equations and the incompressible limit for compressible fluids. The equilibrium solutions, Comm. Math. Phys., 109 (1987), pp. 229-248. | MR | Zbl
,[BV2] Existence results in Sobolev spaces for a stationary transport equation, Ricerche di Matematica, Volume in honour of prof. C. Miranda (1987). | Zbl
,[BV3] Boundary value problem for a class of first order partial differential equation in Sobolev spaces and application to the Euler flow, Rend. Sem. Mat. Univ. Padova, 79 (1987), pp. 247-273. | Numdam | MR | Zbl
,[C] Su un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Sem. Mat. Univ. Padova, 31 (1961), pp. 308-340. | Numdam | MR | Zbl
,[G1] An introduction to the mathematical theory of the Navier-Stokes equations. Vol I: Linearized stationary problems, Springer Tracts in Natural Philosophy, 38 (1994). | MR | Zbl
,[No1] About the steady transport equation I, Lp approach in domains with smooth boundaries, Comm. Mat. Univ. Carolinae, 37, 1 (1996), pp. 43-89. | MR | Zbl
,[No2] About the steady transport equation II, Schauder estimates in domains with smooth boundaries (1993), to appear. | MR | Zbl
,[NP1] Lp approach to steady flows of viscous compressible fluids in exterior domains, Arch. Rat. Mech. Anal., 126 (1994), pp. 243-297. | MR | Zbl
- ,[NP2] Existence and uniqueness of stationary solutions for viscous compressible heat conductive fluid with large potential and small nonpotential external forces, Sib. Math. J., 34 (1993), pp. 120-146. | MR | Zbl
- ,[NoPe] Lp approach to steady flows of viscous heat conductive fluids on exterior domains, I, II, M3 AS (1994) (in the press).
- ,[Os] The free surface of a drop in a symmetric force field, Zapiski Nauchn. Sem. LOMI, 52 (1975), pp. 160-174 (in Russian). | MR | Zbl
,[P1] Existence and uniqueness for viscous steady compressible motions, Arch. Rat. Mech. Anal., 77 (1987), pp. 89-102. | MR | Zbl
,[SiSo1] The weak dirichlet problem for Δ in Lq in bounded and exterior domains, Stab. Anal. Cont. Media, 2 (1992), pp. 183-202.
- ,[So1] On a free boundary problem for the system of Navier-Stokes equations, Trudy Sem. S. L. Sobolev, 2 (1978), pp. 127-140 (in Russian). | MR | Zbl
,[So2] On the Stokes equation in domains with non smooth boundaries and on a viscous incompressible flow with a free surface, Nonlin. Part. Diff. Eq., 3, Collège de France Seminar (1980- 1981), pp. 340-423. | MR | Zbl
,[So3] Some free boundary problems for the Navier-Stokes equations with moving contact points and lines (1995), Preprint. | MR | Zbl
,[V1] On the existence of stationary solutions to compressible Navier-Stokes equations, Ann. Inst. H. Poincaré, 4 (1987), pp. 99-113. | Numdam | MR | Zbl
,[V2] Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method, Ann. Sc. Norm. Sup. Pisa, 4 (1983), pp. 607-647. | Numdam | MR | Zbl
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