Question

Topologically Transitive Flow on $R^n$

score 85 · Answer 1 · 2026-03-26 06:33:39

85

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Topologically Transitive Flow on $R^n$

Published on 26 Mar 2026 - 6:33

score 75 · Answer 2 · 2026-03-25 20:35:42

75

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Are we allowed to apply the chain rule here?

Published on 25 Mar 2026 - 20:35

score 142 · Answer 3 · 2020-07-29 12:31:51

142

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Is there any closed-form solution for free boundary problem?

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score 17 · Answer 4 · 2026-03-26 04:29:21

17

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Average of a vector-valued function over an interior edge - Finite elements

Published on 26 Mar 2026 - 4:29

score 56 · Answer 5 · 2016-07-06 18:22:04

56

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Prove that $\left.F\right|_{\left\{ϕ∈C_c^∞(Ω,ℝ^d):∇⋅ϕ=0\right\}}=0⇔∃p∈C_c^∞(Ω)$ with $F=∇p$, for all $F∈H_0^1(Ω,ℝ^d)'$

Published on 06 Jul 2016 - 18:22

score 140 · Answer 6 · 2016-07-18 12:40:09

140

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If $\mathcal H$ is the closure of the set $D$ of divergence-free smooth functions in $L^2$, then $H_0^1∩\mathcal H$ is the closure of $D$ in $H_0^1$

Published on 18 Jul 2016 - 12:40

score 1k · Answer 7 · 2016-07-26 18:26:28

1k

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Angular Velocity cross product with Vorticity

Published on 26 Jul 2016 - 18:26

score 53 · Answer 8 · 2026-03-26 12:38:02

53

Views

If $u:[0,\infty)\times\mathcal V\to\mathbb R^d$ is divergence-free, then $\partial u/\partial t$ is divergence-free too

Published on 26 Mar 2026 - 12:38

score 102 · Answer 9 · 2016-08-03 18:47:16

102

Views

Is the Stokes operator positive-definite? (I don't understand the argument of the authors in a book that I'm reading)

Published on 03 Aug 2016 - 18:47

score 118 · Answer 10 · 2026-03-25 18:44:15

118

Views

multivariable calculus unusual integration formula

Published on 25 Mar 2026 - 18:44

score 942 · Answer 11 · 2016-08-10 01:16:40

942

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Derivation of the Principal Invariants and their Use in Physics?

Published on 10 Aug 2016 - 1:16

score 95 · Answer 12 · 2016-08-14 13:41:30

95

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A question on the characterization of the gradient of a distribution

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score 330 · Answer 13 · 2026-03-25 13:57:59

330

Views

"Reciprocity" theorems, Green's second identity, and ways to convert elliptic PDEs to integral equations

Published on 25 Mar 2026 - 13:57

score 33 · Answer 14 · 2016-09-02 14:13:34

$\overline{\left\{ϕ∈C_c^∞(Λ)^d:∇⋅u=0\right\}}^{\left\|\;⋅\;\right\|_{H_0^1(Λ,\:ℝ^d)}}=\left\{u∈H_0^1(Λ,ℝ^d):∇⋅u=0\right\}$

score 454 · Answer 15 · 2016-09-03 19:21:17

454

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Motivation behind the weak formulation of the Navier-Stokes equation

Published on 03 Sep 2016 - 19:21

List Question

Topologically Transitive Flow on $R^n$

Are we allowed to apply the chain rule here?

Is there any closed-form solution for free boundary problem?

Average of a vector-valued function over an interior edge - Finite elements

Prove that $\left.F\right|_{\left\{ϕ∈C_c^∞(Ω,ℝ^d):∇⋅ϕ=0\right\}}=0⇔∃p∈C_c^∞(Ω)$ with $F=∇p$, for all $F∈H_0^1(Ω,ℝ^d)'$

If $\mathcal H$ is the closure of the set $D$ of divergence-free smooth functions in $L^2$, then $H_0^1∩\mathcal H$ is the closure of $D$ in $H_0^1$

Angular Velocity cross product with Vorticity

If $u:[0,\infty)\times\mathcal V\to\mathbb R^d$ is divergence-free, then $\partial u/\partial t$ is divergence-free too

Is the Stokes operator positive-definite? (I don't understand the argument of the authors in a book that I'm reading)

multivariable calculus unusual integration formula

Derivation of the Principal Invariants and their Use in Physics?

A question on the characterization of the gradient of a distribution

"Reciprocity" theorems, Green's second identity, and ways to convert elliptic PDEs to integral equations

$\overline{\left\{ϕ∈C_c^∞(Λ)^d:∇⋅u=0\right\}}^{\left\|\;⋅\;\right\|_{H_0^1(Λ,\:ℝ^d)}}=\left\{u∈H_0^1(Λ,ℝ^d):∇⋅u=0\right\}$

Motivation behind the weak formulation of the Navier-Stokes equation

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