메뉴 건너뛰기




Volumn 7, Issue 1, 2005, Pages 72-84

Classical solvability of the coupled system modelling a heat-convergent poiseuille-type flow

Author keywords

Classical solutions; Heat transfer; Newtonian fluids; Parabolic systems with strong nonlinearities; Poiseuille flow

Indexed keywords

BOUNDARY VALUE PROBLEMS; HEAT TRANSFER; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NEWTONIAN LIQUIDS; VISCOSITY;

EID: 16244363112     PISSN: 14226928     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00021-004-0112-z     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 0042046204 scopus 로고
    • The thermistor problem: Existence, smoothness, uniqueness, blow up
    • S. ANTONTSEV and M. CHIPOT, The thermistor problem: existence, smoothness, uniqueness, blow up, SIAM J. Math. Anal. 25 (1994), no. 4, 1128-1156.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.4 , pp. 1128-1156
    • Antontsev, S.1    Chipot, M.2
  • 2
    • 0342872138 scopus 로고
    • A uniqueness result for the thermistor problem
    • M. CHIPOT and G. CIMATTI, A uniqueness result for the thermistor problem, European J. Appl. Math. 2 (1991), no. 2, 97-103.
    • (1991) European J. Appl. Math. , vol.2 , Issue.2 , pp. 97-103
    • Chipot, M.1    Cimatti, G.2
  • 3
    • 16244399771 scopus 로고
    • On the problem of the electrical heating of a conductor
    • G. CIMATTI, On the problem of the electrical heating of a conductor, Riv. Mat. Univ. Parma (4) 14 (1988), 53-59.
    • (1988) Riv. Mat. Univ. Parma (4) , vol.14 , pp. 53-59
    • Cimatti, G.1
  • 4
    • 14744306903 scopus 로고    scopus 로고
    • Stability and multiplicity of solutions for the thermistor problem
    • G. CIMATTI, Stability and multiplicity of solutions for the thermistor problem, Ann. Mat. Pura Appl. (4) 181 (2002), no. 2, 181-212.
    • (2002) Ann. Mat. Pura Appl. (4) , vol.181 , Issue.2 , pp. 181-212
    • Cimatti, G.1
  • 5
    • 0002412307 scopus 로고
    • Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari
    • E. DE GIORGI, Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari (in Italian), Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. (3) 3 (1957), 25-43.
    • (1957) Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. (3) , vol.3 , pp. 25-43
    • De Giorgi, E.1
  • 6
    • 0346225580 scopus 로고
    • A discontinuous solution of mildly nonlinear elliptic systems
    • J. FREHSE, A discontinuous solution of mildly nonlinear elliptic systems, Math. Z. 134 (1973), 229-230.
    • (1973) Math. Z. , vol.134 , pp. 229-230
    • Frehse, J.1
  • 10
    • 0001123092 scopus 로고
    • Stationary solutions to the thermistor problem
    • S. D. HOWISON, J. F. RODRIGUES and M. SHILLOR, Stationary solutions to the thermistor problem, J. Math. Anal. Appl. 174 (1993), no. 2, 573-588.
    • (1993) J. Math. Anal. Appl. , vol.174 , Issue.2 , pp. 573-588
    • Howison, S.D.1    Rodrigues, J.F.2    Shillor, M.3
  • 11
    • 16244362326 scopus 로고    scopus 로고
    • p-estimates of solutions of the nonstationary Stokes problem
    • p-estimates of solutions of the nonstationary Stokes problem, Problemy Mat. Analiza 22 (2001), 197-239. English translation in J. Math. Sci. (New York) 106 (2001), no. 3, 3042-3072.
    • (2001) Problemy Mat. Analiza , vol.22 , pp. 197-239
    • Koch, H.1    Solonnikov, V.A.2
  • 12
    • 16244384567 scopus 로고    scopus 로고
    • English translation
    • p-estimates of solutions of the nonstationary Stokes problem, Problemy Mat. Analiza 22 (2001), 197-239. English translation in J. Math. Sci. (New York) 106 (2001), no. 3, 3042-3072.
    • (2001) J. Math. Sci. (New York) , vol.106 , Issue.3 , pp. 3042-3072
  • 13
    • 0013084355 scopus 로고    scopus 로고
    • Courant Lecture Notes in Mathematics, 1. New York University, Courant Institute of Mathematical Sciences, New York
    • Q. HAN and F.-H. LIN, Elliptic Partial Differential Equations, Courant Lecture Notes in Mathematics, 1. New York University, Courant Institute of Mathematical Sciences, New York, 1997.
    • (1997) Elliptic Partial Differential Equations
    • Han, Q.1    Lin, F.-H.2
  • 19
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • J. NASH, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931-954.
    • (1958) Amer. J. Math. , vol.80 , pp. 931-954
    • Nash, J.1
  • 20
    • 0344690857 scopus 로고
    • A nonlinear parabolic system arising in thermomechanics and in thermomagnetism
    • J. F. RODRIGUES, A nonlinear parabolic system arising in thermomechanics and in thermomagnetism, Math. Modeled and Methods in Applied Sciences 2 (3) (1992), 271-281.
    • (1992) Math. Modeled and Methods in Applied Sciences , vol.2 , Issue.3 , pp. 271-281
    • Rodrigues, J.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.