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Nonlinear Pedestrian-flow Model: Uniform Wellposedness and Global Existence |
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PP: 29-40 |
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Author(s) |
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Christian Dogbe,
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Abstract |
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| This paper is concerned with the existence, uniqueness and propagation of monotonous properties for a certain class of
Cauchy problems for first-order Hamilton-Jacobi equations for which initial data is a gradient function. In particular, we show that the
monotonicity properties are propagated under certain assumptions. The main result is gained by the method of characteristics and a
priori estimates under a monotonicity criterion. Applications of equations studying here refer to control problems in crowd dynamics. |
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