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math.AP2025
Flat Standing Sphere Blow-up Solutions for the Nonlinear Heat Equation
Senhao Duan
In this paper, we prove the existence of a singular standing sphere blow-up solution for the nonlinear heat equation with radial symmetry. This solution develops a finite-time sing…
math.AP2024
Standing Sphere Blow-up Solutions to The Nonlinear Heat Equation
Senhao Duan, Nejla Nouaili, Hatem Zaag
In this paper, we construct a singular standing ring solution of the nonlinear heat in the radial case. We give rigorous proof for the existence of a ring blow-up solution in finit…