Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid

Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow

“…In another paper, Song 5 considered the time‐dependent double‐diffusive convective Darcy flow in a semi‐infinite channel and the Saint–Venant type decay of the solutions on a is obtained. For more works, one can see previous studies 6–15 . However, these papers need to assume that the solutions satisfy certain a priori assumptions at the infinity of the cylinder or the channel.…”

“…For more works, one can see previous studies. [6][7][8][9][10][11][12][13][14][15] However, these papers need to assume that the solutions satisfy certain a priori assumptions at the infinity of the cylinder or the channel.…”

“…10,11,12,13,14) are positive constants to be determined later. Next, we choose 𝜀 i (i = 1, 2, 3, … , 14) small enough and 𝛿 large enough such that −𝜔𝜂 S ,𝛼 S ,𝛼 dx 2 d𝜉d𝜂 −𝜔𝜂  ,𝛼  ,𝛼 dx 2 d𝜉d𝜂 + −𝜔𝜂  ,𝛼  ,𝛼 dx 2 d𝜉d𝜂.…”

Continuous Dependence on the Heat Source of 2D Large-Scale Primitive Equations in Oceanic Dynamics

“…The inspiration of the study came from the fluid equations. There have been a lot of articles in the literature to study the stability of fluid equations (for interest, see [17][18][19][20][21][22][23][24][25][26][27][28][29]).…”

Thermal convection in a linearly viscous fluid overlying a bidisperse porous medium

“…In addition, mathematical analysis of the structural stability of the two layer system has been thoroughly investigated, see e.g. Li et al [31], Li et al [33], Li et al [32], Payne and Straughan [41].…”