On self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobility
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datadiscontinuousfilmproblemself-similarthinaccountadmits
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It is shown that a Riemann-type problem with discontinuous data of sign-type for the thin film equation, which degenerates at +1 and -1, admits a self-similar solution. Both FBP and the Cauchy problem (oscillatory solutions near interfaces) settings are taken into account.
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