most citedLocal null controllability of a quasi-linear system and related numerical experiments

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math.OC2026★ 9 cited

Local null controllability of a quasi-linear system and related numerical experiments

Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten +1

This paper concerns the null control of quasi-linear parabolic systems where the diffusion coefficient depends on the gradient of the state variable. In our main theoretical result…

math.OC2026

Optimal control of a class of nonlinear heat conduction models

Denilson Menezes, Juan Límaco

We study an optimal control problem for a quasilinear parabolic equation modeling nonlinear heat conduction during heat treatment of metals. Under general assumptions, we prove exi…