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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New revival phenomena for bidirectional dispersive hyperbolic equations
双向离散 双曲型方程 新复活现象
2023/11/13
In this talk, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profile...
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
2012/6/14
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
On the well-posedness of weakly hyperbolic equations with time dependent coefficients
Hyperbolic equations Gevrey spaces ultradistributions Analysis of PDEs
2011/9/5
Abstract: In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lo...
Propagation of analyticity for a class of nonlinear hyperbolic equations
Propagation of analyticity class of nonlinear hyperbolic equations
2011/2/22
We consider the hyperbolic semilinear equations of the form @m t u + a1(t) @m−1 t @xu + · · · + am(t) @m x u = f(u),f(u) entire analytic.
Integrable hyperbolic equations of sin-Gordon type
Integrable hyperbolic equations sin-Gordon type
2010/4/7
A complete list of nonlinear one-field hyperbolic equations having generalized integrable x- and y-symmetries of the third order is presented. The list includes both sin-Gordon type equations and equa...