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math.AP2023
Exponential stability of the flow for a generalised Burgers equation on a circle
Ana Djurdjevac, Armen Shirikyan
The paper deals with the problem of stability for the flow of the 1D Burgers equation on a circle. Using some ideas from the theory of positivity preserving semigroups, we establis…
math.AP2022★ 1 cited
Stabilisation of a viscous conservation law by a one-dimensional external force
Ana Djurdjevac, Armen Shirikyan
We study a damped scalar conservation law driven by the sum of a fixed external force and a localised one-dimensional control. The problem is considered in a bounded domain and is…