dispersive equation
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2022 ◽  
Vol 54 (2) ◽  
Author(s):  
Usman Younas ◽  
Muhammad Bilal ◽  
Tukur Abdulkadir Sulaiman ◽  
Jingli Ren ◽  
Abdullahi Yusuf

2021 ◽  
pp. 1-14
Author(s):  
Aissa Boukarou ◽  
Kaddour Guerbati ◽  
Khaled Zennir

2021 ◽  
Vol 39 (3) ◽  
pp. 157-175
Author(s):  
Nikolai Andreevitch Larkin ◽  
Jackson Luchesi

A boundary value problem for a stationary nonlinear dispersive equation of 2l+1 order with a convective term in the form u^ku_x, k\in N was considered on an interval (0,L). The existence, uniqueness and continuous dependence  of a regular solution as well as a relation between the order l and critical values of k of the equation have been established.


2020 ◽  
Vol 18 (1) ◽  
pp. 1302-1316
Author(s):  
Guobing Fan ◽  
Zhifeng Yang

Abstract In this paper, we investigate the problem for optimal control of a viscous generalized \theta -type dispersive equation (VG \theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation. Then, we present the optimal control of a VG \theta -type DE with weak dissipation under boundary condition and prove the existence of optimal solution to the problem.


2020 ◽  
Vol 15 (2) ◽  
pp. 317-331
Author(s):  
Senhua Lan ◽  
Tie Li ◽  
Yaoming Niu

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