Numerical methods for fourth order nonlinear degenerate diffusion problems
نویسندگان
چکیده
منابع مشابه
Numerical Methods for Fourth Order Nonlinear Degenerate Diffusion Problems
Numerical schemes are presented for a class of fourth order diffusion problems. These problems arise in lubrication theory for thin films of viscous fluids on surfaces. The equations being in general fourth order degenerate parabolic, additional singular terms of second order may occur to model effects of gravity, molecular interactions or thermocapillarity. Furthermore, we incorporate nonlinea...
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A. description In recent years several mathematical models in uid dynamics, materials science and plasticity have lead to fourth order nonlinear degenerate parabolic equations. We mention for example the lubrication approximation for thin viscous lms (cf. and models that describe dislocation densities in plasticity (cf. Gr un (1995)). Although there has been a considerable eeort to understand d...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2002
ISSN: 0862-7940,1572-9109
DOI: 10.1023/b:apom.0000034537.55985.44