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Laplace equation ELETTR

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inglese
Any function that satisfies the laplace equation is a possible irrotational flow case.
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For the three-variable Laplace equation, one can for instance expand it in the rotationally invariant coordinate systems which allow separation of variables.
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Where high frequency currents are considered, with skin effect, the surface current densities and magnetic field may be obtained by solving the Laplace equation.
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More recently, viscosity solutions to the infinity Laplace equation have been identified with the payoff functions from randomized tug-of-war games.
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The steady-state flow of groundwater is described by a form of the Laplace equation, which is a form of potential flow and has analogs in numerous fields.
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These parameters are interchangeable in the formulas in a whole range of models due to the wide applicability of the Laplace equation.
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There is considerable overlap between potential theory and the theory of the Laplace equation.
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The resulting equation for the potential (which is Laplace equation) can be solved with the proper boundary conditions.
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These functions both satisfy the Laplace equation and the contour lines represent lines of constant head (equipotentials) and lines tangent to flowpaths (streamlines).
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A similar calculation shows that "v" also satisfies the Laplace equation.
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