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Sur l’équation de la corrosion intergranulaire par diffusion de surface. (On the equation of intergranular corrosion by surface diffusion). (French) Zbl 0623.65133
We prove an existence-uniqueness result for the solution of a nonlinear fourth-order differential equation which determines the shape of a grain boundary groove forming by surface diffusion. A variational approximation of the problem leads to an efficient numerical method.
65Z05 Applications to the sciences
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
80A32 Chemically reacting flows
65H10 Numerical computation of solutions to systems of equations
Full Text: DOI EuDML
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