论文标题
耗散二氧基 - 散热器系统的振荡和正则冲击波系统
Oscillatory and regularized shock waves for a dissipative Peregrine-Boussinesq system
论文作者
论文摘要
我们考虑了Boussinesq类型的耗散，分散系统，描述了耗散有效的环境中的波浪现象。例子包括河流或海洋中的无孔，因为湍流引起的耗散对于它们的描述很重要。我们表明，模型系统接纳了被称为扩散散热性冲击波的行驶波解决方案，并且根据分散和散布之间的关系，我们将其分为振荡和正则冲击波。数值计算的溶液与实验室数据的比较表明，在广泛的相速度中，准确描述了孔的孔。通常使用原始的百富林系统来描述孔的孔，即使不拥有行驶波，也倾向于为适当的时间尺度提供准确的近似值。为了解释这一现象，我们表明，耗散性与非分离性二重生系统的解之间的误差与观察时间的耗散时间成正比。
We consider a dissipative, dispersive system of Boussinesq type, describing wave phenomena in settings where dissipation has an effect. Examples include undular bores in rivers or oceans where dissipation due to turbulence is important for their description. We show that the model system admits traveling wave solutions known as diffusive-dispersive shock waves, and we categorize them into oscillatory and regularized shock waves depending on the relationship between dispersion and dissipation. Comparison of numerically computed solutions with laboratory data suggests that undular bores are accurately described in a wide range of phase speeds. Undular bores are often described using the original Peregrine system which, even if not possessing traveling waves tends to provide accurate approximations for appropriate time scales. To explain this phenomenon, we show that the error between the solutions of the dissipative versus the non-dissipative Peregrine systems are proportional to the dissipation times the observational time.
