List questions from fluid-dynamics

Published on 17 Jun 2020 - 17:21

78

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Notation issue with the Cauchy momentum equation

Published on 19 Jun 2020 - 12:40

1.4k

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Can Navier-Stokes equation be derived from Cauchy momentum equation?

Published on 19 Jun 2020 - 15:00

63

Views

If $\nabla\cdot u=0$ and $w=\operatorname{curl}u$, then $\int w=0$

Published on 26 Mar 2026 - 8:00

102

Views

Is $H_0^1\ni u\mapsto(u\cdot\nabla)u$ Fréchet differentiable?

Published on 25 Mar 2026 - 21:31

87

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If $u\in H_0^1(\Lambda,\mathbb R^2)\cap H^2(\Lambda,\mathbb R^2)$, is $\nabla^\perp\cdot\Delta u\in L^2(\Lambda)$?

Published on 26 Mar 2026 - 9:38

105

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Coordinate Transformation and Derivatives

Published on 26 Mar 2026 - 12:40

258

Views

Fluid Mechanics - Sources/Sinks/Streamlines

Published on 04 Jul 2020 - 8:31

988

Views

Calculating fluxes in local Lax-Friedrichs FVM for shallow water problem

Published on 25 Mar 2026 - 6:54

248

Views

Using Runge Kutta in local lax friedrichs fvm for shallow water problem

Published on 25 Mar 2026 - 11:00

53

Views

How to prove this equation about calculation of matrix determinant?

Published on 22 Feb 2026 - 23:09

47

Views

Need help in solving an integral expression

Published on 25 Mar 2026 - 8:16

50

Views

Having trouble deciphering this function space notation

Published on 16 Jul 2020 - 8:22

116

Views

Proving that the solution to a nonlinear oscillator equation is bounded

Published on 17 Jul 2020 - 10:28

30

Views

Periodic bounded solution to this PDE has necessarily mean zero

Published on 18 Jul 2020 - 11:06

List Question

Steady continuity equation and integrating factors

Notation issue with the Cauchy momentum equation

Can Navier-Stokes equation be derived from Cauchy momentum equation?

If $\nabla\cdot u=0$ and $w=\operatorname{curl}u$, then $\int w=0$

Is $H_0^1\ni u\mapsto(u\cdot\nabla)u$ Fréchet differentiable?

If $u\in H_0^1(\Lambda,\mathbb R^2)\cap H^2(\Lambda,\mathbb R^2)$, is $\nabla^\perp\cdot\Delta u\in L^2(\Lambda)$?

Coordinate Transformation and Derivatives

Fluid Mechanics - Sources/Sinks/Streamlines

Calculating fluxes in local Lax-Friedrichs FVM for shallow water problem

Using Runge Kutta in local lax friedrichs fvm for shallow water problem

How to prove this equation about calculation of matrix determinant?

Need help in solving an integral expression

Having trouble deciphering this function space notation

Proving that the solution to a nonlinear oscillator equation is bounded

Periodic bounded solution to this PDE has necessarily mean zero

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