메뉴 건너뛰기




Volumn 2, Issue 2, 1996, Pages 125-169

On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid

Author keywords

Free boundary problem; Global existence; Surface tension; Viscous compressible heat conducting fluid

Indexed keywords


EID: 0004781540     PISSN: 14256908     EISSN: 18696082     Source Type: Journal    
DOI: 10.1515/JAA.1996.125     Document Type: Article
Times cited : (12)

References (30)
  • 1
    • 84980139502 scopus 로고
    • The. initial value, problem for the. Navier-Stokes equations with a fre boundary
    • BEATE, J.T., The. initial value, problem for the. Navier-Stokes equations with a fre boundary, Comm. Pure Appl. Math. 31 (1980), 359-392.
    • (1980) Comm. Pure Appl. Math. , vol.31 , pp. 359-392
    • Beate, J.T.1
  • 2
    • 0021197315 scopus 로고
    • Large-time regularity viscous surface waves
    • BEALE, J.T., Large, time, regularity for viscous surface ivaves Arch. Rational Mech Anal. 84 (1984), 307-352. (Pubitemid 14509776)
    • (1984) Archive for Rational Mechanics and Analysis , vol.84 , Issue.4 , pp. 307-352
    • Beale, J.T.1
  • 4
    • 0004237183 scopus 로고
    • Nauka, Moscow in Russian); English transi.: Pergamon Press, Oford (1959); new edition Hydrodynamics, Nauka, Moscow (1986) (in Russian)
    • LANDAU, L. and LTFSCHITZ, E., Mechanics of Continuum Media, Nauka, Moscow (1984) (in Russian); English transi.: Pergamon Press, Oford (1959); new edition Hydrodynamics, Nauka, Moscow (1986) (in Russian).
    • (1984) Mechanics of Continuum Media
    • Landau, L.1    Ltfschitz, E.2
  • 5
    • 0002321065 scopus 로고
    • The. initial value problem for the equations of motion of viscous and heat conductive gases
    • MATSUMURA, A. and NTSHTDA, T., The. initial value problem for the equations of motion of viscous and heat conductive gases, J. Math. Kyoto Univ. 2 (1980) 67-104.
    • (1980) J. Math. Kyoto Univ. , vol.2 , pp. 67-104
    • Matsumura, A.1    Ntshtda, T.2
  • 6
    • 0001091818 scopus 로고
    • The. initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
    • MATSUMURA, A. and NTSHTDA, T., The. initial value problem for the equations of motion of compressible viscous and heat-conductive fluids, Proc. Japan Acad Ser A 55 (1979), 337-342.
    • (1979) Proc. Japan Acad ser A , vol.55 , pp. 337-342
    • Matsumura, A.1    Ntshtda, T.2
  • 8
    • 0000651539 scopus 로고
    • Initial boudary value problems for the eqitations of motion of general fluids
    • R. Glowinski and JL. Lions (eds), North-Holland, Amsterdam
    • MATSUMURA, A. and NTSHTDA, T., Initial boudary value problems for the eqitations of motion of general fluids, in: Computing Methods in Applied Sciences and Engineering, R. Glowinski and JL. Lions (eds), North-Holland, Amsterdam (1982) 389-406.
    • (1982) Computing Methods in Applied Sciences and Engineering , pp. 389-406
    • Matsumura, A.1    Ntshtda, T.2
  • 9
    • 0000489095 scopus 로고
    • Initial boundary value problems for the eqiwtions of motion of compressible viscous and heat-conductive fluids
    • MATSUMURA, A. and NTSHTDA, T., Initial boundary value problems for the eqiwtions of motion of compressible viscous and heat-conductive fluids, Comm. Math. Phys 89 (1983), 445-464.
    • (1983) Comm. Math. Phys , vol.89 , pp. 445-464
    • Matsumura, A.1    Ntshtda, T.2
  • 11
    • 0039582404 scopus 로고
    • On free boundary problem for stationary compressible Navier-Stokes equations
    • PTLECKAS, K. and ZAJACZKOWSKT, W.M., On free boundary problem for stationary compressible Navier-Stokes equations, Comm. Math. Phys. 129 (1990), 169-204.
    • (1990) Comm. Math. Phys. , vol.129 , pp. 169-204
    • Ptleckas, K.1    Zajaczkowskt, W.M.2
  • 12
    • 0000969686 scopus 로고
    • A priori estimates for parabolic equations of second order
    • (in Russian)
    • SOUONNTKOV, V.A., A priori estimates for parabolic equations of second order Trud Mat Inst Steklov 70 (1964), 133-212 (in Russian)
    • (1964) Trud Mat Inst Steklov , vol.70 , pp. 133-212
    • Souonntkov, V.A.1
  • 13
    • 0010058488 scopus 로고
    • On an unsteady flow of a finite mass of a liquid bounded by a fre suface
    • (i Russian); English transi J. Soviet Math. 40 (4) (1988), 672-686
    • SOLONNTKOV, V.A., On an unsteady flow of a finite mass of a liquid bounded by a fre suface, Zap. Nauch. Sem. LOMI 152 (1986), 137-157 (i Russian); English transi J. Soviet Math. 40 (4) (1988), 672-686.
    • (1986) Zap. Nauch. Sem. LOMI , vol.152 , pp. 137-157
    • Solonntkov, V.A.1
  • 14
    • 0010055990 scopus 로고
    • Solvability of the evolution problem, for an isolated mass of viscous incompressible capillary liquid
    • (in Russian): English transi.: J. Soviet. Math. 32 (2) (1986) 223-238
    • SOLONNTKOV, V.A., Solvability of the evolution problem, for an isolated mass of viscous incompressible capillary liquid, Zap. Nauch. Sem. LOMI 140 (1984), 179-186 (in Russian): English transi.: J. Soviet. Math. 32 (2) (1986), 223-238.
    • (1984) Zap. Nauch. Sem. LOMI , vol.140 , pp. 179-186
    • Solonntkov, V.A.1
  • 15
    • 0038895893 scopus 로고
    • On an unsteady m, otion of an isolated volume of a viscous incompressible fluid
    • in Russian
    • SOLONNTKOV, V.A., On an unsteady m, otion of an isolated volume of a viscous incompressible fluid, Izv. Akad. Nauk SSS Ser. Math. 51 (5) (1987), 1065-1087 (i Russian).
    • (1987) Izv. Akad. Nauk SSS Ser. Math. , vol.51 , Issue.5 , pp. 1065-1087
    • Solonntkov, V.A.1
  • 16
    • 0002356817 scopus 로고
    • Free boundary problem, for a viscous compressible fl, oiu luith surface tension
    • T.M. Rassias (ed), Word Scientific
    • SOLONNTKOV, V.A. and TANT, A., Free boundary problem, for a viscous compressible fl, oiu luith surface tension, in Constantine Caratheodory: An International Tribute T.M. Rassias (ed), Word Scientific (1991), 1270-1303.
    • (1991) Constantine Caratheodory: An International Tribute , pp. 1270-1303
    • Solonntkov, V.A.1    Tant, A.2
  • 18
    • 0001730031 scopus 로고
    • Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
    • VALU, A. and ZAJACZKOWSKT. W.M., Navier-Stokes equations for compressible fluids: global existence and qualitative properties of the solutions in the general case Comm. Math. Phys. 103 (1986), 259-296.
    • (1986) Comm. Math. Phys. , vol.103 , pp. 259-296
    • Valu, A.1    Zajaczkowskt, W.M.2
  • 19
    • 0004801403 scopus 로고
    • On local motion of a general compress ible viscous heat conducting fluid bounded by a free surface
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., On local m, otion of a, general compress ible viscous heat conducting fluid bounded by a free surface, Ann. Polon. Math 59 (1994), 133-170.
    • (1994) Ann. Polon. Math , vol.59 , pp. 133-170
    • Zadrzynska, E.1    Zajaczkowskt, W.M.2
  • 20
    • 20444505682 scopus 로고
    • On global motion of a, compressible viscous heat conducting fluid bounded by a free surface
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., On global motion of a, compressible viscous heat conducting fluid bounded by a free surface Acta Appl. Math. 37 (1994) 221-231.
    • (1994) Acta Appl. Math. , vol.37 , pp. 221-231
    • Zadrzynska, E.1    Zajaczkowskt, W.M.2
  • 21
    • 84868029854 scopus 로고
    • Conservation laws in free boundary problems for viscous compressible, heat conducting fluids
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., Conservation laws in free boundary problems for viscous compressible, heat conducting fluids, Bull. Polish Acad Sei Tech Sei. 42 (1994), 197-207.
    • (1994) Bull. Polish Acad Sei Tech Sei. , vol.42 , pp. 197-207
    • Zadrzynska, E.1    Zajaczkowskt, W.M.2
  • 22
    • 0004785929 scopus 로고
    • Conservation laws in free boundary problems for viscous compressible heat conducting capillary fluids
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., Conservation laws in free boundary problems for viscous compressible heat conducting capillary fluids, Bull. Polish Acad Sei. Tech. Sei. 43 (1995), 423-444.
    • (1995) Bull. Polish Acad Sei. Tech. Sei. , vol.43 , pp. 423-444
    • Zadrzynska, E.1    Zajaczkowskt, W.M.2
  • 23
    • 84858430186 scopus 로고
    • On differential inequality f or a, viscous compressible heat conducting fluid bounded, by a, free surface
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., On differential inequality f or a, viscous compressible heat conducting fluid bounded, by a, free surface, Ann. Polon. Math. 61 (1995), 141-188.
    • (1995) Ann. Polon. Math. , vol.61 , pp. 141-188
    • Zadrzynska, E.1    Zajaczkowskt, W.M.2
  • 24
    • 84868036568 scopus 로고    scopus 로고
    • On differential inequality for a, viscous compressible heat conducting capillary fluid, bounded by a free surface
    • to appear
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., On differential inequality for a, viscous compressible heat conducting capillary fluid, bounded by a free surface, Ann. Polon Math, (to appear)
    • Ann. Polon Math
    • Zadrzynska, E.1    Zajaczkowskt, W.M.2
  • 25
    • 0004732119 scopus 로고    scopus 로고
    • On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid
    • ZADRZYNSKA, E. and ZAJACZKOWSKT, W.M., On the global existence theorem for a free boundary problem for a viscous compressible heat conducting fluid, Ann. Polon Math. 63 (1996), 199-221. (Pubitemid 126060212)
    • (1996) Annales Polonici Mathematici , vol.63 , Issue.3 , pp. 199-221
    • Zadrzynska, E.1    Zajaczkowski, W.2
  • 26
    • 0003625574 scopus 로고
    • On Nonstationary Motion of A Compressible Barotropic Viscous Fluid Bounded by A Free Surface
    • ZAJACZKOWSKT, W.M., On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Diss. Math. 324 (1993).
    • (1993) Diss. Math. , vol.324
    • Zajaczkowskt, W.M.1
  • 27
    • 84868020560 scopus 로고
    • On local m, otion of a compressible viscous fluid bounded by free surface
    • Warsaw
    • ZAJACZKOWSKT, W.M., On local m, otion of a compressible viscous fluid bounded by free surface, in Part. Diff. Eqs., Banach Center Publ, Vol. 27, Warsaw (1992).
    • (1992) Part. Diff. Eqs., Banach Center Publ , vol.27
    • Zajaczkowskt, W.M.1
  • 28
    • 0040943964 scopus 로고
    • Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
    • ZAJACZKOWSKT, W.M., Existence of local solutions for free boundary problems for viscous compressible barotropic fluids, Ann. Polon. Math. 60 (1995), 255-287.
    • (1995) Ann. Polon. Math. , vol.60 , pp. 255-287
    • Zajaczkowskt, W.M.1
  • 29
    • 21344489977 scopus 로고
    • On Nonstationary Motion of A Compressible Barotropic Viscous Capillary Fluid Bounded by A Free Surface
    • ZAJACZKOWSKT, W.M., On nonstationary motion of a compressible, barotropic viscous capillary fluid bounded by a free surface, SIAM J. Math. Anal. 25 (1994), 1-84.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1-84
    • Zajaczkowskt, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.