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This document reports a numerical investigation of finite-time blow-up in the one-dimensional semilinear parabolic equation uₜ = uₓₓ - 2u - u³, posed on theperiodic domain x ∈ [0, 2π].
This document reports a numerical investigation of finite-time blow-up in the one-dimensional semilinear parabolic equation uₜ = uₓₓ - 2u - u³, posed on theperiodic domain x ∈ [0, 2π].
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valeo ventor (2026) studied this question.
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