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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long time behavior of the Sine-Gordon equation
正弦 戈登方程 长时间行为 黎曼-希尔伯特问题
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2023/4/26
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
KdV equation Gardner equation integrability multi-soliton stability
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2011/2/25
Multi-soliton solutions of the Korteweg-de Vries equation (KdV)are shown to be globally L2-stable, and asymptotically stable in the sense of Martel-Merle [23]. The proof is surprisingly simple and com...
On the energy-minimizing steady states of a thin film equation
energy-minimizing steady states thin film equation
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2010/12/9
Steady states of the thin film equation ut + [u3 (uθθθ + 2uθ − sin )]θ = 0 are considered
on the periodic domain = (−, ). The equation defines a generalized gradient flow for an
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