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second kind
An FEM approximation for a fourth-order variational inequality of second kind
      
A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered.
      
The elements of this set are represented by the systems obeying the Lagrange equations of the second kind and having also bounded inertial characteristics and generalized forces.
      
Peculiarities of electroosmosis of the second kind at the surfaces of one and two ionite granules
      
Electroosmosis of the second kind at the surfaces of one and two granules of a cationite and an anionite are studied by experimental methods.
      
In this case, all periodic solutions of the second kind turned out to be nonsymmetrical.
      
The problem reduces to a system of two integral Fredholm equations of the second kind, which are solved on a digital computer.
      
Using the basic equations of hydromechanics and also the Lagrange equations of the second kind, expressions are derived for the force acting between a liquid and a vapor bubble growing within it.
      
The method proposed for the solution of this equation is to reduce it to a Fredholm equation of the second kind by the factorization of functions.
      
On the permeable part of the boundary we assign conditions of the first or second kind for the pressure, which corresponds to a free surface or a thin permeable skin.
      
The determination of the velocity potential in the leading part of the wing, where there is no influence of the vortex sheet, is reduced to the solution of a two-dimensional integral equation of the second kind.
      
The problem of irrotational flow past a wing of finite thickness and finite span can be reduced by Green's formula to the solution of a system of Fredholm equations of the second kind on the surface of the wing [1].
      
Losses of electromagnetic energy in compression of a magnetic field by a shock of the second kind
      
The method involves reducing the initial linear problem to a Volterra integral equation of the second kind, the kernel of this equation being a nonlocal operator.
      
Several approaches to the solution of the problem are considered, and cases that admit exact self-similar solutions, which are solutions of the second kind, are identified.
      
For the rotational flow the problem is reduced to the solution of a Fredholm integral equation of the second kind.
      
In the regions of phase transitions of the second kind, the specific heat Cp reaches an infinitely high value at the transition point Ts at p = const also following the logarithmic law.
      
In the critical state, the second variation of the internal energy δ2E(S, V) is zero; and, in the vicinity of the line of phase transitions of the second kind, it varies as (T - Tc)2.
      
The application of the Gibbs equation for stability limit to the description of phase transitions of the second kind.
      
Phase transitions of the second kind occur at the limit of stability (spinodal) common to both phases, and this defines the continuous pattern of these transitions.
      
 

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