Wave-breaking and generic singularities of nonlinear hyperbolic equations.

التفاصيل البيبلوغرافية
العنوان:	Wave-breaking and generic singularities of nonlinear hyperbolic equations.
المؤلفون:	Yves Pomeau, Martine Le Berre, Philippe Guyenne, Stephan Grilli
المصدر:	Nonlinearity; May2008, Vol. 21 Issue 5, pT61-T79, 19p
مصطلحات موضوعية:	NUMERICAL analysis, NONLINEAR statistical models, DIFFERENTIAL equations, EXPONENTIAL functions
مستخلص:	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. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات:	Complementary Index

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