List questions from calculus-of-variations

Published on 29 Apr 2026 - 12:43

104

Views

$T$ and $x_T-x_0$? no extremals of $J[x]= \int_0^T \frac{m}{2} \dot x^2 - \frac{k}{2}x^2 dt$ in $S=\{x \in C^1([0,T]): x(0)=x_0,x(T)=x_T\}$

Published on 10 May 2026 - 13:50

60

Views

Find optimal x(t) such that L(t) = R(x(t)) as close as possible.

Published on 10 May 2026 - 15:02

123

Views

The chain rule for functionals

Published on 01 Apr 2026 - 3:25

131

Views

Analog of du Bois-Reymond for when h is in another function

Published on 25 Mar 2026 - 23:37

41

Views

Confusion about Theorem 5.5 in Struwe's book

Published on 25 Mar 2026 - 20:42

113

Views

Equation of motion with respect to the metric.

Published on 01 Apr 2026 - 17:57

87

Views

Step in the motivation of Lax-Milgram with membrane problem.

Published on 25 Mar 2026 - 23:37

82

Views

Find extremum of functional $\int\limits_{x_0}^{x_1}{1+y^2\over \dot{y}^2}$

Published on 10 May 2026 - 18:29

206

Views

Minimizing sequence for a quadratic energy functional is Cauchy

Published on 25 Mar 2026 - 20:34

266

Views

Euler -Lagrange equation: variational Problem min $K[u]$ for $K[u]=\int_D(|\nabla u|^2+\frac{1}{2}gu^4)dxdy$

Published on 10 May 2026 - 14:56

357

Views

Method of Lagrange multipliers for constrained minimum of functional

Published on 10 May 2026 - 12:53

1.7k

Views

Minimization of functional using Euler-Lagrange

Published on 10 May 2026 - 14:53

69

Views

Integral equation to determine curve shapes

Published on 10 May 2026 - 14:48

94

Views

Minimiser of perturbed functional and Laplace's equation

Published on 25 Mar 2026 - 22:11

List Question

Geometric Calculus, Clifford Algebra, and Calculus of Variations

$T$ and $x_T-x_0$? no extremals of $J[x]= \int_0^T \frac{m}{2} \dot x^2 - \frac{k}{2}x^2 dt$ in $S=\{x \in C^1([0,T]): x(0)=x_0,x(T)=x_T\}$

Find optimal x(t) such that L(t) = R(x(t)) as close as possible.

The chain rule for functionals

Analog of du Bois-Reymond for when h is in another function

Confusion about Theorem 5.5 in Struwe's book

Equation of motion with respect to the metric.

Step in the motivation of Lax-Milgram with membrane problem.

Find extremum of functional $\int\limits_{x_0}^{x_1}{1+y^2\over \dot{y}^2}$

Minimizing sequence for a quadratic energy functional is Cauchy

Euler -Lagrange equation: variational Problem min $K[u]$ for $K[u]=\int_D(|\nabla u|^2+\frac{1}{2}gu^4)dxdy$

Method of Lagrange multipliers for constrained minimum of functional

Minimization of functional using Euler-Lagrange

Integral equation to determine curve shapes

Minimiser of perturbed functional and Laplace's equation

Trending Questions

Popular # Hahtags

Popular Questions