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math.AP2025
Asymptotic attraction with algebraic rates toward fronts of dispersive-diffusive Burgers equations
Milena Stanislavova, Atanas G. Stefanov
Burgers equation is a classic model, which arises in numerous applications. At its very core it is a simple conservation law, which serves as a toy model for various dynamics pheno…
math.AP2024
Existence and stability for the travelling waves of the Benjamin equation
Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov
In the seminal work of Benjamin,\cite{Ben} in the late 70's, he has derived the ubiquitous Benjamin model, which is a reduced model in the theory of water waves. Notably, it contai…