Blow-Up of Solutions to Fractional-in-Space Burgers-Type Equations

被引：1

作者：

Alotaibi, Munirah ^{[1
]}

Jleli, Mohamed ^{[1
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 04期

关键词：

fractional-in-space Burgers equation; fractional-in-space Korteweg-de Vries-Burgers equation; global solution; blow-up; DE-VRIES EQUATION; GLOBAL UNSOLVABILITY; PROFILE;

D O I：

10.3390/fractalfract5040249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider fractional-in-space analogues of Burgers equation and Korteweg-de Vries-Burgers equation on bounded domains. Namely, we establish sufficient conditions for finite-time blow-up of solutions to the mentioned equations. The obtained conditions depend on the initial value and the boundary conditions. Some examples are provided to illustrate our obtained results. In the proofs of our main results, we make use of the test function method and some integral inequalities.

引用

页数：12

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