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Resumen de Formation of singularities for a transport equation with nonlocal velocity

Diego Córdoba Gazolaz Árbol académico, Marco Antonio Fontelos Árbol académico, Antonio Córdoba Barba Árbol académico

  • We study a 1D transport equation with nonlocal velocity and show the formation of singularities in finite time for a generic family of initial data. By adding a diffusion term the finite time singularity is prevented and the solutions exist globally in time.

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