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This paper deals the global existence and blow-up properties
of the following non-Newton polytropic filtration system, [수식] with homogeneous Dirichlet boundary condition. Under appropriate hypotheses,
we prove that the solution either exists globally or blows up in
finite time depends on the initial data and the relations of the parameters
in the system.
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참고문헌 (29)
참고문헌 신청
▽ u) = 0 / Pro. Amer. Math. Soc 116 : 583 ~ 584
A. A. Samarskii / 1985 / Blow-up in Quasilinear Parabolic Equations / Walter de Gruyter
A. S. Kalashnikov / 1987 / Some Problems of the qualitative theory of nonlinear degenerate parabolic equations of second order / Russian Math. Surveys 42 : 169 ~ 222
A. de Pablo / 2002 / Asymptotic simplification for a reactiondiffusion problem with a nonlinear boundary condition / IMA J. Appl. Math 67 : 69 ~ 98
E. Dibenedetto / 1993 / Degenerate Parabolic Equations / Springer-Verlag
A. A. Samarskii / 1985 / Blow-up in Quasilinear Parabolic Equations / Walter de Gruyter
A. S. Kalashnikov / 1987 / Some Problems of the qualitative theory of nonlinear degenerate parabolic equations of second order / Russian Math. Surveys 42 : 169 ~ 222
A. de Pablo / 2002 / Asymptotic simplification for a reactiondiffusion problem with a nonlinear boundary condition / IMA J. Appl. Math 67 : 69 ~ 98
E. Dibenedetto / 1993 / Degenerate Parabolic Equations / Springer-Verlag
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