On Self-similar Collapse of Discontinues Data for Thin Film Equations with Doubly Degenerate Mobility

نویسنده

  • V. A. GALAKTIONOV
چکیده

As a basic model, the fourth-order quasilinear thin film equation (the TFE– 4) with a concentration-dependent doubly degenerate mobility coefficient vanishing at two equilibrium levels u = ±1, ut = −(|1− u|uxxx)x , is studied. The basic Riemann problem for the TFE–4 with discontinuous initial data

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تاریخ انتشار 2009