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math.AP2025
Global and blow-up solutions for a non-local integrable equation with applications to geometry
Nilay Duruk Mutlubas, Igor Leite Freire
We establish the global existence of higher-order Sobolev solutions for a non-local integrable evolution equation arising in the study of pseudospherical surfaces and non-linear wa…
math.AP2024
Intrinsic geometry and wave-breaking phenomena in solutions of the Camassa-Holm equation
Igor Leite Freire
Pseudospherical surfaces determined by Cauchy problems involving the Camassa-Holm equation are considered herein. We study how global solutions influence the corresponding surface,…