论文标题
关于二维等液压和无旋转式脉冲数据的全球平滑解决方案，脉冲数据
On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
论文作者
论文摘要
This paper establishes the global existence of smooth solutions to the 2D isentropic and irrotational Euler equations for Chaplygin gases with a general class of short pulse initial data, which, in particular, resolves in this special case, the Majda's conjecture on the non-formation of shock waves of solutions from smooth initial data for multi-dimensional nonlinear symmetric systems which are totally linearly degenerate.与4D情况相比，本文的主要困难是由于时间衰减较慢以及2D准线性波方程的溶液的巨大性引起的，引入了一些新的辅助能量和乘数来克服这些困难。
This paper establishes the global existence of smooth solutions to the 2D isentropic and irrotational Euler equations for Chaplygin gases with a general class of short pulse initial data, which, in particular, resolves in this special case, the Majda's conjecture on the non-formation of shock waves of solutions from smooth initial data for multi-dimensional nonlinear symmetric systems which are totally linearly degenerate. Comparing to the 4D case, the major difficulties in this paper are caused by the slower time decay and the largeness of the solutions to the 2D quasilinear wave equation, some new auxiliary energies and multipliers are introduced to overcome these difficulties.
