Free boundary problems for nonlinear evolution equations in metallurgy, medicine, and ecology

Mitropol’skii, Yu. A.; Berezovskii, A. A.; Plotnitskii, T. A.

doi:10.1007/bf01062627

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(T) By Integrating Eq (19) Over the Ball M E -{ [O*(p T)[1

Nonstationary Problems With Free Boundaries1

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Cited by 7 publications

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“…which contains an arbitrary part cp* of the surface q~* -q0* ~ ~* and proceeding to the limit e --~ 0, we obtain the conditions of conjugation [8] […”

Section: (T) By Integrating Eq (19) Over the Ball M E -{ [O*(p T)[mentioning

confidence: 99%

Problems with free boundaries for nonlinear parabolic equations

Mitropol’skii

Berezovskii

1997

Ukr Math J

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“…which contains an arbitrary part cp* of the surface q~* -q0* ~ ~* and proceeding to the limit e --~ 0, we obtain the conditions of conjugation [8] […”

Section: (T) By Integrating Eq (19) Over the Ball M E -{ [O*(p T)[mentioning

confidence: 99%

Problems with free boundaries for nonlinear parabolic equations

Mitropol’skii

Berezovskii

1997

Ukr Math J

Self Cite

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“…As a rule, the statement of these problems differs from stationary problems by the presence of a free boundary and the derivative of the required function with respect to time. In metallurgy, medicine, and ecology, these problems are reduced to the following problems with free boundaries for a weakly nonlinear parabolic equation [4,[12][13][14][15]:…”

Section: Nonstationary Problems With Free Boundariesmentioning

confidence: 99%