【摘要】 用积分估计方法推广了的一类非线性发展方程的初边值问题.该问题在液体流经裂隙岩问题、热力学等其他应用中提出,并用来描述这些物理现象的运动规律.对于此类方程,在非线性项满足一定增长条件的情况下,证明了整体解的不存在性及问题解的有限时间爆破.由于所研究的方程包含若干已知方程作为特殊情形,所以该问题具有广泛性.更多还原

【Abstract】 By using the integral estimate method,the initial boundary value problem of a class of generalized nonlinear evolution equations was studied.This equation was introduced to describe rules of movement,and is used for studying the flow of fluids through fissured rock,thermodynamics,and other applications.In some growth conditions of nonlinear terms,the global nonexistence and blowup in finite time of solutions of the problem were proved.Because the equation considered in this work includes several well known equations as special cases,these findings have wide application.更多还原