List questions from fluid-dynamics

Published on 31 Mar 2026 - 7:03

103

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$∇ \cdot( ∇\times u)=0$ What is the concept of this.

Published on 27 Mar 2026 - 10:24

70

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Is D$_t\nabla f =\nabla$D$_tf$ where D$_t$ is the material derivative of a scalar function f?

Published on 19 Sep 2022 - 13:20

79

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Question regarding order of operations

Published on 22 Sep 2022 - 21:58

50

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What is the meaning of $(\nabla w)^{\bot}$?

Published on 24 Sep 2022 - 9:03

52

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Is $\textbf{u} \cdot \nabla (Det \ \textbf{J})=0$ where $\textbf{J}$ is the Jacobian matrix w.t.r the Lagrangian map?

Published on 06 Oct 2022 - 19:34

43

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Show that if $v\in L_{t}^{\infty}L_{x}^{2}\cap L_{t}^{2}L_{x}^{6} $, then $v\in L_{t}^{s}L_{x}^{q}$ for $\frac{3}{q}+\frac{2}{s}=\frac{3}{2}$

Published on 26 Mar 2026 - 1:12

37

Views

Find the velocity of the oil stream exiting the pipe

Published on 14 Oct 2022 - 7:23

58

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Total Time Derivative and partial time derivative

Published on 23 Oct 2022 - 10:13

70

Views

Galilean Invariance of Navier Stokes Equation

Published on 25 Oct 2022 - 2:26

116

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General solution for vector differential equation

Published on 02 Apr 2026 - 22:34

71

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Explain why the convective derivative of the position vector is the velocity.

Published on 27 Oct 2022 - 20:37

133

Views

Galilean invariance of Burgers Equation

Published on 01 Nov 2022 - 1:34

855

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Pressure values at the boundary in Navier Stokes equations

Published on 27 Mar 2026 - 21:35

35

Views

Condition for being a ejecting vector field

Published on 27 Nov 2022 - 14:33

List Question

Curl appearing in multivariate Taylor series

$∇ \cdot( ∇\times u)=0$ What is the concept of this.

Is D$_t\nabla f =\nabla$D$_tf$ where D$_t$ is the material derivative of a scalar function f?

Question regarding order of operations

What is the meaning of $(\nabla w)^{\bot}$?

Is $\textbf{u} \cdot \nabla (Det \ \textbf{J})=0$ where $\textbf{J}$ is the Jacobian matrix w.t.r the Lagrangian map?

Show that if $v\in L_{t}^{\infty}L_{x}^{2}\cap L_{t}^{2}L_{x}^{6} $, then $v\in L_{t}^{s}L_{x}^{q}$ for $\frac{3}{q}+\frac{2}{s}=\frac{3}{2}$

Find the velocity of the oil stream exiting the pipe

Total Time Derivative and partial time derivative

Galilean Invariance of Navier Stokes Equation

General solution for vector differential equation

Explain why the convective derivative of the position vector is the velocity.

Galilean invariance of Burgers Equation

Pressure values at the boundary in Navier Stokes equations

Condition for being a ejecting vector field

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