메뉴 건너뛰기




Volumn 21, Issue 8, 1998, Pages 665-684

Steady compressible Navier-Stokes equations with large potential forces via a method of decomposition

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPRESSIBLE FLOW; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; PERTURBATION TECHNIQUES; THEOREM PROVING;

EID: 0032075034     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19980525)21:8<665::AID-MMA956>3.0.CO;2-2     Document Type: Article
Times cited : (8)

References (37)
  • 1
    • 84980080664 scopus 로고
    • Estimates near the boundary of solutions of elliptic partial differential equations satisfying general boundary conditions II
    • Agmon, S., Douglis, A. and Nirenberg, L., 'Estimates near the boundary of solutions of elliptic partial differential equations satisfying general boundary conditions II', Comm. Pure Appl. Math., 17, 35-92 (1964).
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 35-92
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 0001434442 scopus 로고
    • An L′-theory for the n-dimensional stationary compressible Navier-Stokes equations and the incompressible limit for compressible fluids. The equilibrium solutions
    • Beirao da Veiga, H., 'An L′-theory for the n-dimensional stationary compressible Navier-Stokes equations and the incompressible limit for compressible fluids. The equilibrium solutions', Comm. Math. Phys., 109, 229-248 (1987).
    • (1987) Comm. Math. Phys. , vol.109 , pp. 229-248
    • Beirao Da Veiga, H.1
  • 4
    • 0039582410 scopus 로고
    • Stationary solutions of the Navier-Stokes equations with slip boundary conditions
    • Farwig, R., 'Stationary solutions of the Navier-Stokes equations with slip boundary conditions', Comm. Partial Differential Equations, 14, 1579-1606 (1989).
    • (1989) Comm. Partial Differential Equations , vol.14 , pp. 1579-1606
    • Farwig, R.1
  • 5
    • 11544305962 scopus 로고
    • Stationary solutions of the Navier-Stokes equations for a compressible viscous and heat-conductive fluid
    • Farwig, R., 'Stationary solutions of the Navier-Stokes equations for a compressible viscous and heat-conductive fluid', Math. Z., 221, 409-447 (1992).
    • (1992) Math. Z. , vol.221 , pp. 409-447
    • Farwig, R.1
  • 8
    • 0002277543 scopus 로고
    • On some problems of vector analysis and generalized formulation of boundary value problems for Navier-Stokes equations
    • Ladyzhenskaya, O. and Solonnikov, V. A., 'On some problems of vector analysis and generalized formulation of boundary value problems for Navier-Stokes equations', Zap. Nauchn. Sem. LOMI, 59, 81-116 (1976); Engl. Transl. J. Sov. Math., 10 (2), 257-285 (1978)).
    • (1976) Zap. Nauchn. Sem. LOMI , vol.59 , pp. 81-116
    • Ladyzhenskaya, O.1    Solonnikov, V.A.2
  • 9
    • 0039678959 scopus 로고
    • Ladyzhenskaya, O. and Solonnikov, V. A., 'On some problems of vector analysis and generalized formulation of boundary value problems for Navier-Stokes equations', Zap. Nauchn. Sem. LOMI, 59, 81-116 (1976); Engl. Transl. J. Sov. Math., 10 (2), 257-285 (1978)).
    • (1978) Engl. Transl. J. Sov. Math. , vol.10 , Issue.2 , pp. 257-285
  • 10
    • 0346190246 scopus 로고
    • The initial boundary value problem for the equations of motion of compressible viscous and heat-conductive fluid
    • University of Wisconsin, Madison
    • Matsumura, A. and Nishida, T., 'The initial boundary value problem for the equations of motion of compressible viscous and heat-conductive fluid', University of Wisconsin, Madison, MRC Technical Summary Report 2237, (1981).
    • (1981) MRC Technical Summary Report 2237
    • Matsumura, A.1    Nishida, T.2
  • 11
    • 0000651539 scopus 로고
    • Initial boundary value problems for the equations of motion general fluids
    • V. R. Glowinski, J. L. Lions, eds, North-Holand, Amsterdam
    • Matsumura, A. and Nishida, T., 'Initial boundary value problems for the equations of motion general fluids', in: Computing Methods in Applied Sciences and Engineering, (V. R. Glowinski, J. L. Lions, eds), pp. 389-406, North-Holand, Amsterdam, 1982.
    • (1982) Computing Methods in Applied Sciences and Engineering , pp. 389-406
    • Matsumura, A.1    Nishida, T.2
  • 12
    • 0000489095 scopus 로고
    • Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
    • Matsumura, A. and Nishida, T., 'Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids', Comm. Math. Phys., 89, 445-464 (1983).
    • (1983) Comm. Math. Phys. , vol.89 , pp. 445-464
    • Matsumura, A.1    Nishida, T.2
  • 13
    • 0030553640 scopus 로고    scopus 로고
    • On steady compressible Navier-Stokes equations in plane domains with corners
    • Nazarov, S., Novotny, A. and Pileckas, K., 'On steady compressible Navier-Stokes equations in plane domains with corners', Math. Ann., 304, 121-150 (1996).
    • (1996) Math. Ann. , vol.304 , pp. 121-150
    • Nazarov, S.1    Novotny, A.2    Pileckas, K.3
  • 16
    • 0039631391 scopus 로고
    • 2-approach
    • R. Salvi, I. Straskraba, eds.
    • 2-approach', Proc. EQU AM 92, R. Salvi, I. Straskraba, eds., 3(3), 181-199 (1993).
    • (1993) Proc. EQU AM 92 , vol.3 , Issue.3 , pp. 181-199
    • Novotny, A.1
  • 17
    • 0039039422 scopus 로고
    • Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces
    • Novotny, A., 'Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces', Math. Model. Meth. Appl. Sci., 3(6), 725-757, (1993).
    • (1993) Math. Model. Meth. Appl. Sci. , vol.3 , Issue.6 , pp. 725-757
    • Novotny, A.1
  • 18
    • 85034295293 scopus 로고
    • University of Toulon, preprint
    • 3)', University of Toulon, preprint (1995).
    • (1995) 3)
    • Novotny, A.1
  • 19
    • 3543001497 scopus 로고    scopus 로고
    • p approach in domains with smooth boundaries
    • p approach in domains with smooth boundaries', Comment Math. Univ. Carolin., 37(1), 43-89 (1996).
    • (1996) Comment Math. Univ. Carolin. , vol.37 , Issue.1 , pp. 43-89
    • Novotny, A.1
  • 20
    • 85037307616 scopus 로고    scopus 로고
    • Some remarks about the compactness of steady compressible isentropic Navier-Stokes equation via the decomposition method
    • Novotny, A, 'Some remarks about the compactness of steady compressible isentropic Navier-Stokes equation via the decomposition method', Comm. Math. Univ. Carolin., 37(2), 43-89 (1996).
    • (1996) Comm. Math. Univ. Carolin. , vol.37 , Issue.2 , pp. 43-89
    • Novotny, A.1
  • 21
    • 34249841534 scopus 로고
    • Existence and uniqueness of stationary solutions for viscous compressible heat-conductive fluid with large potential and small nonpotential external forces
    • Novotny, A. and Padula, M., 'Existence and uniqueness of stationary solutions for viscous compressible heat-conductive fluid with large potential and small nonpotential external forces', Siberian Math. J., 34, 120-146 (1993).
    • (1993) Siberian Math. J. , vol.34 , pp. 120-146
    • Novotny, A.1    Padula, M.2
  • 23
    • 0040770217 scopus 로고
    • p-approach to steady flows of viscous compressible fluids in exterior domains', University of Ferrara, preprint (1992); Arch. Rat. Mech. Anal., 126, 243-297 (1994).
    • (1994) Arch. Rat. Mech. Anal. , vol.126 , pp. 243-297
  • 27
    • 85034275560 scopus 로고    scopus 로고
    • p-approach for steady flows of viscous compressible heat conductive gas
    • in press
    • p-approach for steady flows of viscous compressible heat conductive gas', Math. Model. Meth. Appl. Sci., in press.
    • Math. Model. Meth. Appl. Sci.
    • Novotny, A.1    Penel, P.2
  • 32
    • 0039582409 scopus 로고
    • Existence and uniqueness for viscous steady compressible motions
    • Trieste, Dinamica dei fluidi e dei gas ionizzati
    • Padula, M., 'Existence and uniqueness for viscous steady compressible motions', Proc. Sem. Fis. Mat., Trieste, Dinamica dei fluidi e dei gas ionizzati (1982).
    • (1982) Proc. Sem. Fis. Mat.
    • Padula, M.1
  • 33
    • 0023089548 scopus 로고
    • Existence and uniqueness for viscous steady compressible motions
    • Padula, M., 'Existence and uniqueness for viscous steady compressible motions', Arch. Rat. Mech. Anal., 77, 89-102 (1987).
    • (1987) Arch. Rat. Mech. Anal. , vol.77 , pp. 89-102
    • Padula, M.1
  • 35
    • 0008997558 scopus 로고
    • An existence theorem for compressible viscous fluids
    • Valli, A., 'An existence theorem for compressible viscous fluids', Ann. Math. Pura Appl., 130(4), 197-213 (1982).
    • (1982) Ann. Math. Pura Appl. , vol.130 , Issue.4 , pp. 197-213
    • Valli, A.1
  • 36
    • 0008985780 scopus 로고
    • Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method
    • Valli, A., 'Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method', Ann. Sc. Norm. Sup. Pisa, 4, 607-647 (1983).
    • (1983) Ann. Sc. Norm. Sup. Pisa , vol.4 , pp. 607-647
    • Valli, A.1
  • 37
    • 84869561021 scopus 로고
    • On the existence of stationary solutions to compressible Navier-Stokes equation
    • Valli, A., 'On the existence of stationary solutions to compressible Navier-Stokes equation', Ann. Inst. H. Poincare, 4, 99-113 (1987).
    • (1987) Ann. Inst. H. Poincare , vol.4 , pp. 99-113
    • Valli, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.