Solutions to the damped nonlinear Ginzburg-Landau equation with saturation exhibit finite-time extinction induced by the nonlinear saturation mechanism.
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math.AP 2years
2026 2verdicts
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Existence and uniqueness of global solutions are proved for the damped nonlinear Ginzburg-Landau equation with saturation on general domains using adapted maximal monotone operator theory.
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Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization
Solutions to the damped nonlinear Ginzburg-Landau equation with saturation exhibit finite-time extinction induced by the nonlinear saturation mechanism.
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Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains
Existence and uniqueness of global solutions are proved for the damped nonlinear Ginzburg-Landau equation with saturation on general domains using adapted maximal monotone operator theory.