Question

Minimizing $\int_1^2\frac{1}{x}\sqrt{1+u^{\prime}(x)^2}dx$

score 75 · Answer 1 · 2023-11-08 12:53:10

75

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Minimizing $\int_1^2\frac{1}{x}\sqrt{1+u^{\prime}(x)^2}dx$

Published on 08 Nov 2023 - 12:53

score 51 · Answer 2 · 2026-03-26 22:29:40

51

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Necessary optimality conditions: $\min_{\phi} \sum_\xi\int_{0}^{1} p(a,\xi) T(V_{w(a,\xi)}[\phi]) da$, where $V[\cdot]$ is an evaluation functional

Published on 26 Mar 2026 - 22:29

score 102 · Answer 3 · 2023-11-16 02:55:16

102

Views

How should I find this first-integral of a functional?

Published on 16 Nov 2023 - 2:55

score 62 · Answer 4 · 2023-11-16 13:46:13

62

Views

Is there a potential energy formula for a catenary curve?

Published on 16 Nov 2023 - 13:46

score 191 · Answer 5 · 2023-11-21 01:40:48

191

Views

How to show that this functional has this stationary path by solving this second-order differential equation?

Published on 21 Nov 2023 - 1:40

score 66 · Answer 6 · 2026-02-23 17:22:31

66

Views

Transform a differential equation into Hamiltonian form

Published on 23 Feb 2026 - 17:22

score 152 · Answer 7 · 2023-12-03 01:33:46

152

Views

How should I show that the stationary path of the functional is given by the following with the given constant?

Published on 03 Dec 2023 - 1:33

score 33 · Answer 8 · 2026-02-23 13:10:00

33

Views

Uniform Convergence of Lagrange function defined for $q-$absolutely continuous curves

Published on 23 Feb 2026 - 13:10

score 27 · Answer 9 · 2023-12-08 15:47:14

27

Views

Is it possible to write Lagrangian mechanics for a catenary curve?

Published on 08 Dec 2023 - 15:47

score 49 · Answer 10 · 2023-12-10 01:00:47

49

Views

Finding Euler-Lagrange equation

Published on 10 Dec 2023 - 1:00

score 143 · Answer 11 · 2023-12-19 15:27:01

143

Views

Trouble with deriving the Euler-Poisson equation using Euler's approach

Published on 19 Dec 2023 - 15:27

score 123 · Answer 12 · 2023-12-22 19:14:08

123

Views

Optimizing the functional $\int_{x_0}^{x_1}(2xy+(y^{\prime\prime\prime})^2)dx$

Published on 22 Dec 2023 - 19:14

score 31 · Answer 13 · 2026-02-23 17:23:07

31

Views

Problem with variation of calculus for noether

Published on 23 Feb 2026 - 17:23

score 53 · Answer 14 · 2024-01-01 16:32:25

53

Views

Calculus of Variations Weierstrass-Erdmann Gelfand and Fomin 3.17

Published on 01 Jan 2024 - 16:32

score 65 · Answer 15 · 2024-01-02 07:10:36

65

Views

How am I factorizing the $\frac{d}{dx}$ operator while trying to solve for the equation of a catenoid bubble?

Published on 02 Jan 2024 - 7:10

List Question

Minimizing $\int_1^2\frac{1}{x}\sqrt{1+u^{\prime}(x)^2}dx$

Necessary optimality conditions: $\min_{\phi} \sum_\xi\int_{0}^{1} p(a,\xi) T(V_{w(a,\xi)}[\phi]) da$, where $V[\cdot]$ is an evaluation functional

How should I find this first-integral of a functional?

Is there a potential energy formula for a catenary curve?

How to show that this functional has this stationary path by solving this second-order differential equation?

Transform a differential equation into Hamiltonian form

How should I show that the stationary path of the functional is given by the following with the given constant?

Uniform Convergence of Lagrange function defined for $q-$absolutely continuous curves

Is it possible to write Lagrangian mechanics for a catenary curve?

Finding Euler-Lagrange equation

Trouble with deriving the Euler-Poisson equation using Euler's approach

Optimizing the functional $\int_{x_0}^{x_1}(2xy+(y^{\prime\prime\prime})^2)dx$

Problem with variation of calculus for noether

Calculus of Variations Weierstrass-Erdmann Gelfand and Fomin 3.17

How am I factorizing the $\frac{d}{dx}$ operator while trying to solve for the equation of a catenoid bubble?

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