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- W2969746780 abstract "We investigate a dissipative hyperbolic geometry flow in two space variables for which a new nonlinear wave equation is derived. Based on an energy method, the global existence of solutions to the dissipative hyperbolic geometry flow is established. Furthermore, the scalar curvature of the metric remains uniformly bounded. Moreover, under suitable assumptions, we establish the global existence of classical solutions to the Cauchy problem, and we show that the solution and its derivative decay to zero as the time tends to infinity. In addition, the scalar curvature of the solution metric converges to the one of the flat metric at an algebraic rate." @default.
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- W2969746780 date "2019-06-01" @default.
- W2969746780 modified "2023-10-18" @default.
- W2969746780 title "Classical solutions to a dissipative hyperbolic geometry flow in two space variables" @default.
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- W2969746780 doi "https://doi.org/10.1142/s0219891619500085" @default.
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