Sonic-supersonic Solutions to a Mixed-type Boundary Value Problem for the Two-Dimensional Full Euler Equations

2021 ◽  
Vol 53 (2) ◽  
pp. 1579-1629
Author(s):  
Yanbo Hu ◽  
Jianjun Chen
Keyword(s):  
Boundary Value Problem ◽  
Euler Equations ◽  
Mixed Type ◽  
Boundary Value ◽  
Two Dimensional ◽  
Type Boundary

scholarly journals Existence theory and stability analysis to a coupled nonlinear fractional mixed boundary value problem

2021 ◽  
Author(s):  
Shahid Saifullah ◽  
Akbar Zada ◽  
Sumbel Shahid
Keyword(s):  
Boundary Value Problem ◽  
Mixed Type ◽  
Fixed Point Theorems ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Coupled System ◽  
Existence Theory ◽  
Nonlinear Coupled System ◽  
Fractional Differential ◽  
Type Boundary

In this manuscript, we conclude a comprehensive approach to a class of nonlinear coupled system of fractional differential equations with mixed type boundary value problem. Subsequently, the solution of coupled system exists and unique under mixed type boundary value conditions with the reference of Schaefer and Banach fixed-point theorems. Further, we developed the Hyers- Ulam stability for the considered problem. Finally, we set an example for the support of our results.

On a Frankl-Type Boundary-Value Problem for a Mixed-Type Degenerating Equation

2020 ◽  
Vol 71 (10) ◽  
pp. 1541-1554
Author(s):  
B. I. Islomov ◽  
N. K. Ochilova ◽  
K. S. Sadarangani
Keyword(s):  
Boundary Value Problem ◽  
Mixed Type ◽  
Boundary Value ◽  
Type Boundary
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