论文标题
Euler-Korteweg系统的跨音速限制
Transonic limit of traveling waves of the Euler-Korteweg system
论文作者
论文摘要
我们证明了E-K系统的二维行进波的跨气压限制，直至重新恢复，直至恢复到kadomtsev-petviashvili方程的基态。类似地，在维度上，我们证明了孤子界限的跨气压限制在Korteweg de Vries方程的孤子中的收敛性。
We prove the convergence in the transonic limit of two-dimensional traveling waves of the E-K system, up to rescaling, toward a ground state of the Kadomtsev-Petviashvili Equation. Similarly, in dimension one we prove the convergence in the transonic limit of solitons toward the soliton of the Korteweg de Vries equation.
