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math.AP2024
Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles
Gaspard Ohlmann
We establish an explicit formula for the Half-Wave maps equation for rational functions with simple poles. The Lax pair provides a description of the evolution of the poles. By con…
math.AP2024
On the stability of the ill-posedness of a quasi-linear wave equation in two dimensions with initial data in
Gaspard Ohlmann
This article is the continuation of \cite{ohlmann2021illposedness} where we exhibited the ill-posedness of a quasi-linear wave equation in dimension for initial data in $H^{7/4…