Instantaneous shrinking in nonlinear diffusion-convection
نویسندگان
چکیده
منابع مشابه
Instantaneous Shrinking in Nonlinear Diffusion-convection
The Cauchy problem for a nonlinear diffusion-convection equation is studied. The equation may be classified as being of degenerate parabolic type with one spatial derivative and a time derivative. It is shown that under certain conditions solutions of the initial-value problem exhibit instantaneous shrinking. This is to say, at any positive time the spatial support of the solution is bounded ab...
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For a large class of non-negative initial data, the solutions to the quasilinear viscous Hamilton-Jacobi equation ∂tu−∆pu+ |∇u| = 0 in (0,∞)×R are known to vanish identically after a finite time when 2N/(N + 1) < p ≤ 2 and q ∈ (0, p − 1). Further properties of this extinction phenomenon are established herein: instantaneous shrinking of the support is shown to take place if the initial conditio...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-1007496-9