Wave-breaking and generic singularities of nonlinear hyperbolic equations
Wave-breaking is studied analytically first and the results are compared with accurate
numerical simulations of 3D wave-breaking. We focus on the time dependence of various
quantities becoming singular at the onset of breaking. The power laws derived from general
arguments and the singular behaviour of solutions of nonlinear hyperbolic differential
equations are in excellent agreement with the numerical results. This shows the power of the
analysis by methods using generic concepts of nonlinear science.
numerical simulations of 3D wave-breaking. We focus on the time dependence of various
quantities becoming singular at the onset of breaking. The power laws derived from general
arguments and the singular behaviour of solutions of nonlinear hyperbolic differential
equations are in excellent agreement with the numerical results. This shows the power of the
analysis by methods using generic concepts of nonlinear science.
Abstract
Wave-breaking is studied analytically first and the results are compared with accurate numerical simulations of 3D wave-breaking. We focus on the time dependence of various quantities becoming singular at the onset of breaking. The power laws derived from general arguments and the singular behaviour of solutions of nonlinear hyperbolic differential equations are in excellent agreement with the numerical results. This shows the power of the analysis by methods using generic concepts of nonlinear science.
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