Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary (Q5946389)
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scientific article; zbMATH DE number 1658786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary |
scientific article; zbMATH DE number 1658786 |
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Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary (English)
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14 February 2003
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selfsimilar solution
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shooting method
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strong maximum principle
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The author considers a free boundary problem for the equation NEWLINE\[NEWLINEu_{t}=(au_{x})_{x}, \qquad s(t)<x<0,\quad t>0,NEWLINE\]NEWLINE with corresponding initial, boundary and smoothness conditions. He studies the existence and structure of selfsimilar solutions of this equation. By constructing the subsolution and supersolution he finds the asymptotic convergence of every solution to its selfsimilar solution.
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