论文标题
旋转气体动力学的奇异性形成
Singularity formation for rotational gas dynamics
论文作者
论文摘要
考虑了二维旋转气体动力学方程系统的库奇问题。假定cauchy数据是恒定状态的平滑紧凑扰动。在有限的时间内找到了足以使解决方案丧失平滑度的数据的整体条件。我们分析了满足这些条件的可能性，并将其与奇异性形成的标准进行比较，该标准以旋转气体动力学而闻名。
The Cauchy problem for the system of equations of two-dimensional rotational gas dynamics is considered. It is assumed that the Cauchy data are a smooth compact perturbation of a constant state. Integral conditions for the data sufficient for the loss of smoothness by a solution within a finite time are found. We analyze the possibility of fulfilling these conditions and compare them with the criterion of singularity formation, known for rotational gas dynamics without pressure.
