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math.FA2019
Asymptotics and approximation of large systems of ordinary differential equations
Lassi Paunonen, David Seifert
In this paper we continue our earlier investigations into the asymptotic behaviour of infinite systems of coupled differential equations. Under the mild assumption that the so-call…
math.AP2019
Optimal energy decay in a one-dimensional wave-heat system with infinite heat part
Abraham C. S. Ng, David Seifert
Using recent results in the theory of -semigroups due to Batty, Chill and Tomilov (J. Eur. Math. Soc. 18(4):853-929, 2016) we study energy decay in a one-dimensional coupled w…