Journal of Computations & Modelling

Estimation of a coefficient of the Hamilton-Jacobi equation by using adjoint methods

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  • Abstract

    We are interested to the coefficient of the non-linear convection term estimation of the Hamilton-Jacobi equation, in two-dimensional, with the Cauchy-Dirichlet conditions. We validate numerically some properties of the KPZ equation with the same conditions mention above while making a correlation with the surface-growth phenomenon.

    Mathematics Subject Classification: 35F21; 34K29; 65N35; 49J20; 35K55
    Keywords: Hamilton Jacobi equation; Inverse problem; Pseudo-spectral method; Optimal control; KPZ-equation
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