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Volumn 325, Issue 2, 2007, Pages 1479-1490

Structural stability for the Brinkman equations of flow in double diffusive convection

Author keywords

A priori bounds; Brinkman flow; Continuous dependence; Double diffusive convection; Structural stability

Indexed keywords


EID: 33750357816     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.02.031     Document Type: Article
Times cited : (31)

References (12)
  • 2
    • 1542407750 scopus 로고    scopus 로고
    • Continuous dependence and decay for the Forchheimer equations
    • Franchi F., and Straughan B. Continuous dependence and decay for the Forchheimer equations. Proc. R. Soc. Lond. Ser. A 459 (2003) 3195-3202
    • (2003) Proc. R. Soc. Lond. Ser. A , vol.459 , pp. 3195-3202
    • Franchi, F.1    Straughan, B.2
  • 3
    • 0000337667 scopus 로고
    • Inequalities for membrane and Stekloff eigenvalues
    • Kuttler J.R., and Sigillito V.G. Inequalities for membrane and Stekloff eigenvalues. J. Math. Anal. Appl. 23 (1968) 148-160
    • (1968) J. Math. Anal. Appl. , vol.23 , pp. 148-160
    • Kuttler, J.R.1    Sigillito, V.G.2
  • 4
    • 33750332176 scopus 로고    scopus 로고
    • Changhao Lin, L.E. Payne, Structural stability for a Brinkman fluid, preprint
  • 5
    • 33750342185 scopus 로고    scopus 로고
    • L.E. Payne, Uniqueness criteria for steady state Navier-Stokes equations, Simpos. Internaz. Appl. Anal. Fis. Math., Calgliari-Sassari, 28-1X-4-X, Edizioni Cremononese Roma, 1964, pp. 130-153
  • 6
    • 0001564334 scopus 로고
    • Some isoperimetric inequalities for harmonic functions
    • Payne L.E. Some isoperimetric inequalities for harmonic functions. SIAM J. Math. Anal. 1 (1970) 354-359
    • (1970) SIAM J. Math. Anal. , vol.1 , pp. 354-359
    • Payne, L.E.1
  • 7
    • 0000066103 scopus 로고    scopus 로고
    • Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity
    • Payne L.E., Song J.C., and Straughan B. Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. Proc. R. Soc. Lond. Ser. A 455 (1999) 2173-2190
    • (1999) Proc. R. Soc. Lond. Ser. A , vol.455 , pp. 2173-2190
    • Payne, L.E.1    Song, J.C.2    Straughan, B.3
  • 8
    • 0039447734 scopus 로고    scopus 로고
    • Convergence and continuous dependence for the Brinkman-Forchheimer equations
    • Payne L.E., and Straughan B. Convergence and continuous dependence for the Brinkman-Forchheimer equations. Stud. Appl. Math. 102 (1999) 419-439
    • (1999) Stud. Appl. Math. , vol.102 , pp. 419-439
    • Payne, L.E.1    Straughan, B.2
  • 9
    • 84972535391 scopus 로고
    • New bounds for solutions of second order elliptic partial differential equations
    • Payne L.E., and Weinberger H.F. New bounds for solutions of second order elliptic partial differential equations. Pacific J. Math. 8 (1958) 551-573
    • (1958) Pacific J. Math. , vol.8 , pp. 551-573
    • Payne, L.E.1    Weinberger, H.F.2
  • 10
    • 0001807443 scopus 로고
    • The initial value problem for the Navier-Stokes equations
    • University of Wisconsin Press, Madison, WI
    • Serrin J. The initial value problem for the Navier-Stokes equations. Proc. Symp. Nonlinear Problems (1963), University of Wisconsin Press, Madison, WI 69-98
    • (1963) Proc. Symp. Nonlinear Problems , pp. 69-98
    • Serrin, J.1
  • 11
    • 0036138675 scopus 로고    scopus 로고
    • Effect of property variation and modeling on convection in a fluid overlying a porous layer
    • Straughan B. Effect of property variation and modeling on convection in a fluid overlying a porous layer. Int. J. Numer. Anal. Meth. Geomech. 26 (2002) 75-97
    • (2002) Int. J. Numer. Anal. Meth. Geomech. , vol.26 , pp. 75-97
    • Straughan, B.1
  • 12
    • 33746418464 scopus 로고    scopus 로고
    • A priori bounds and structural stability for double diffusive convection incorporating the Soret effect
    • Straughan B., and Hutter K. A priori bounds and structural stability for double diffusive convection incorporating the Soret effect. Proc. R. Soc. Lond. Ser. A 455 (1999) 767-777
    • (1999) Proc. R. Soc. Lond. Ser. A , vol.455 , pp. 767-777
    • Straughan, B.1    Hutter, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.