Consistent Nonlinear Mild-Slope Equation Models for Wide-Angle Water Waves Transformation. [PDF]
Kim IC, Kaihatu JM.
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Performance analysis of a three-dimensional micromixer with baffles using a flexible physics-informed neural network. [PDF]
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Parabolic First and Second Order Differential Equations
Milan Journal of Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximum Principles for Second-order Parabolic Equations
Journal of Partial Differential Equations, 2004Summary: This paper is the parabolic counterpart of previous ones about elliptic operators in unbounded domains. Maximum principles for second-order linear parabolic equations are established showing a variant of the ABP-Krylov-Tso estimate, based on the extension of a technique introduced by Cabré, which in turn makes use of a lower bound for super ...
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Nonlinear Second Order Parabolic Equations
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Characteristics of degenerating second-order parabolic Ito equations
Journal of Soviet Mathematics, 1986Translation from Tr. Semin. Im. I. G. Petrovskogo 8, 153-168 (Russian) (1980; Zbl 0503.60066).
Krylov, N. V., Rozovskij, B. L.
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On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order
Acta Mathematica Sinica, English Series, 2000Summary: In this paper, we consider a nonlinear degenerate quasilinear parabolic initial boundary value problems of second order. Using results from the theory of pseudomonotone operators, we show that there exists at least one weak solution in a suitable weighted Sobolev space.
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