An interface tracking algorithm for the porous medium equation
نویسندگان
چکیده
منابع مشابه
Numerical Methods with Interface Estimates for the Porous Medium Equation*
If the data has slightly more regularity, then this too is satisfied by the solution. Specifically, if m is no greater than two and u0 is Lipschitz continuous, then u( · , t) is also Lipschitz; if m is greater than two and (u 0 )x ∈ L(R), then (u( · , t))x ∈ L(R) (see [4]). (This will follow from results presented here, also.) We also use the fact that the solution u is Hölder continuous in t [...
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15 صفحه اولThe Porous Medium Equation. New contractivity results
We review some lines of recent research in the theory of the porous medium equation. We then proceed to discuss the question of contractivity with respect to the Wasserstein metrics: we show contractivity in one space dimension in all distances dp, 1 ≤ p ≤ ∞, and show a negative result for the d∞ metric in several dimensions. We end with a list of problems. Mathematics Subject Classification. 3...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1984
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1984-0743729-3