We consider the two-dimensional half-wave equation iut=Du−|u|u. For the initial data u0(x)∈Hs(R2), [Formula presented], we obtain the existence of non-radial ground state mass blow-up solutions with the blow-up rate ‖D[Formula presented]u(t)‖Ljavax.xml.bind.JAXBElement@1e887242∼[Formula presented] as t→0−. This work extends the recent study by Georgiev and Li (2022) [9], which focused on constructing radial ground state mass blow-up solutions.
Blowup dynamics for the mass critical half-wave equation in 2D
Georgiev, Vladimir;
2025-01-01
Abstract
We consider the two-dimensional half-wave equation iut=Du−|u|u. For the initial data u0(x)∈Hs(R2), [Formula presented], we obtain the existence of non-radial ground state mass blow-up solutions with the blow-up rate ‖D[Formula presented]u(t)‖Ljavax.xml.bind.JAXBElement@1e887242∼[Formula presented] as t→0−. This work extends the recent study by Georgiev and Li (2022) [9], which focused on constructing radial ground state mass blow-up solutions.File in questo prodotto:
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