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Volumn 19, Issue 7, 1996, Pages 529-554

Finite time of stabilization in the one-dimensional problem of non-steady filtration

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ESTIMATION; FUNCTIONS; INFILTRATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; POROUS MATERIALS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0030150142     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19960510)19:7<529::AID-MMA781>3.0.CO;2-5     Document Type: Article
Times cited : (3)

References (14)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • Alt, H. W. and Luckhaus, S., Quasilinear elliptic-parabolic differential equations, Math. Z., 183, 311-341 (1983).
    • (1983) Math. Z. , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 0002151634 scopus 로고
    • Regularity properties of flows through porous media: The interface
    • Aronson, D. G., 'Regularity properties of flows through porous media: the interface'. Arch. Rational Mech. Anal., 37, 1-10 (1970).
    • (1970) Arch. Rational Mech. Anal. , vol.37 , pp. 1-10
    • Aronson, D.G.1
  • 3
    • 0001483956 scopus 로고
    • Stabilization of solutions of a degenerate nonlinear diffusion problem
    • Aronson, D. G., Crandall, M. G. and Peletier, L. A., 'Stabilization of solutions of a degenerate nonlinear diffusion problem', Nonlinear Anal., 6, 1001-1022 (1982).
    • (1982) Nonlinear Anal. , vol.6 , pp. 1001-1022
    • Aronson, D.G.1    Crandall, M.G.2    Peletier, L.A.3
  • 5
    • 0019242598 scopus 로고
    • Stability of the separable solution for fast diffusion
    • Berryman, J. G. and Holland, C. J., 'Stability of the separable solution for fast diffusion'. Arch. Rational Mech. Anal., 74, 279-288 (1980).
    • (1980) Arch. Rational Mech. Anal. , vol.74 , pp. 279-288
    • Berryman, J.G.1    Holland, C.J.2
  • 6
    • 0000934284 scopus 로고
    • Regularity of the free boundary for the one-dimensional flow of gas in a porous medium
    • Caffarelli, L. A. and Friedman, A., 'Regularity of the free boundary for the one-dimensional flow of gas in a porous medium, Amer. J. Math., 101, 1193-1218 (1979).
    • (1979) Amer. J. Math. , vol.101 , pp. 1193-1218
    • Caffarelli, L.A.1    Friedman, A.2
  • 7
    • 34250248086 scopus 로고
    • Nonstationary filtration in partially saturated porous media
    • van Duyn, C. J. and Peletier, L. A., 'Nonstationary filtration in partially saturated porous media, Arch. Rational Mech. Anal., 78, 173-198 (1982).
    • (1982) Arch. Rational Mech. Anal. , vol.78 , pp. 173-198
    • Van Duyn, C.J.1    Peletier, L.A.2
  • 8
    • 38249010341 scopus 로고
    • Diffusivity versus absorption through the boundary
    • Filo, J., 'Diffusivity versus absorption through the boundary', J. Differential Equations, 99, 281-305 (1992).
    • (1992) J. Differential Equations , vol.99 , pp. 281-305
    • Filo, J.1
  • 9
    • 0008333435 scopus 로고
    • Gobal existence and decay of solutions of the porous medium equation with nonlinear boundary conditions
    • Filo, J. and de Mottoni, P., 'Gobal existence and decay of solutions of the porous medium equation with nonlinear boundary conditions'. Comm. Partial Differential Equations. 17 (5&6), 737-765 (1992).
    • (1992) Comm. Partial Differential Equations , vol.17 , Issue.5-6 , pp. 737-765
    • Filo, J.1    De Mottoni, P.2
  • 13
    • 0022045221 scopus 로고
    • Stabilization of solutions of nonlinear and degenerate evolution equations
    • Langlais, M. and Philips, D., 'Stabilization of solutions of nonlinear and degenerate evolution equations,' Nonlinear Anal., 9 321-333 (1985).
    • (1985) Nonlinear Anal. , vol.9 , pp. 321-333
    • Langlais, M.1    Philips, D.2
  • 14
    • 0042034212 scopus 로고
    • On a class of quasilinear parabolic equations not solvable for the time derivative
    • Sabinina, E. S., 'On a class of quasilinear parabolic equations not solvable for the time derivative', Sibirsk. Mat. Z., 6, 1074-1100 (1965).
    • (1965) Sibirsk. Mat. Z. , vol.6 , pp. 1074-1100
    • Sabinina, E.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.