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math.OC2024
Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
Behzad Azmi, Marvin Fritz, Sérgio S. Rodrigues
In this work, it is proven the semiglobal exponential stabilization to time-dependent trajectories of the nonisothermal Cahn-Hilliard equations. In the model, the input controls ar…
math.AP2024
Well-posedness, long-time behavior, and discretization of some models of nonlinear acoustics in velocity-enthalpy formulation
Herbert Egger, Marvin Fritz
We study a class of models for nonlinear acoustics, including the well-known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamic…