Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term

HIGHLIGHTS

• who: Bárcena-Petisco Jon Asier from the Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, SpainChair of Computational Mathematics, Fundación Deusto, Avenida de las Universidades, Bilbao, Basque Country, Spain. , have published the Article: Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term, in the Journal: (JOURNAL) of November/28,/2021
• what: Next the authors show some examples of Neumann and mixed boundary conditions in which for any time T > the cost explodes exponentially as the diffusivity vanishes. Understanding the bounds of the cost with respect to . . .
  

   

  

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