Abstract
Global asymptotics on the outer pressure problem of free type is discussed. The solution of the problem exists globally (Theorem 1), and some global asymptotics are investigated (Theorem 2). Under some additional assumptions, the solution converges to a stationary state (Theorem 3) with exponential rate (Theorem 4).
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References
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Nagasawa, T. Global asymptotics of the outer pressure problem with free boundary. Japan J. Appl. Math. 5, 205–224 (1988). https://doi.org/10.1007/BF03167873
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DOI: https://doi.org/10.1007/BF03167873