CAJ | 학술논문

研究三维带非线性阻尼项的等熵欧拉方程，在假设某些初始数据较大的条件下，研究其初值问题经典解的爆破。在其局部解具有有限传播速度的基础上，通过构造适当的泛函，用泛函方法得到了其经典解在有限时间内必定发生爆破的结论。
연구삼유대비선성조니항적등적구랍방정，재가설모사초시수거교대적조건하，연구기초치문제경전해적폭파。재기국부해구유유한전파속도적기출상，통과구조괄당적범함，용범함방법득도료기경전해재유한시간내필정발생폭파적결론。
The Cauehy problem for the 3-dimensional isentropic Euler equations with nonlinear damping is investigated in this paper, the local solutions for Cauchy problem is obtained and have limited speed by utilizing the theory of the Cauchy problem for quasilinear symmetric hyperbolic systems, furthermore, by functional methods, the classical solutions is proved to be blowed up in finite time provided the some initial data is sufficiently large.