The nonlinear 2D supercritical inviscid shallow water equations in a rectangle
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🧮 math.AP
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equationsinviscidrectangleshallowsupercriticalwaterarticleboundary
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In this article we consider the inviscid two-dimensional shallow water equations in a rectangle. The flow occurs near a stationary solution in the so called supercritical regime and we establish short term existence of smooth solutions for the corresponding initial and boundary value problem.
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