750
10 Variational Problems of Functionals with Vector, Tensor …
10.57 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ×
· ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of parallel operation.
10.58 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ·
× ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of parallel operation.
10.59 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ×
· ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of series operation.
10.60 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ·
× ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of series operation.
10 Variational Problems of Functionals with Vector, Tensor …
10.57 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ×
· ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of parallel operation.
10.58 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ·
× ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of parallel operation.
10.59 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ×
· ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of series operation.
10.60 Derive the Euler equations and natural boundary conditions of the functional
J =
V F(a, b, ∇ a ·
× ∇ b)dV , where the double inner product of tensors of
second order conforms to the law of series operation.