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THE ANALYTICITY AND GENERAL SOLUTION OF THE CAUCHY-STEFAN PROBLEM - MaRDI portal

THE ANALYTICITY AND GENERAL SOLUTION OF THE CAUCHY-STEFAN PROBLEM (Q3673283)

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THE ANALYTICITY AND GENERAL SOLUTION OF THE CAUCHY-STEFAN PROBLEM
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    THE ANALYTICITY AND GENERAL SOLUTION OF THE CAUCHY-STEFAN PROBLEM (English)
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    1983
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    general solution
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    Cauchy-Stefan problem
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    solidification problem
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    two semi-infinite materials
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    arbitrarily prescribed initial conditions
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    analyticity of interfacial boundary
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    temperature solutions
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    initial conditions expressed in series of fractional powers of space variable
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    four different cases
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    immediate solidification with surface temperature below freezing point
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    at freezing point
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    no solidification whatsoever
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    late solidification preceded by presolidification period
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    exact solutions
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    existence
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    uniqueness
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    convergence
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