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As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
      
Some exact travelling wave solutions and rational travelling wave solutions of a surface wave equation in a convecting fluid are given in this paper.
      
Construction of solutions of the Boltzmann kinetic equation in a Knudsen layer
      
We consider the moment equation method for solving the Boltzmann equation in a Knudsen layer; the calculation of one of the moments of the collision integral is presented.
      
The problem arising for the Laplace equation in a region with an unknown boundary has been discussed previously in a somewhat different physical interpretation in [2].
      
In the subsonic region, Dirichlet's problem is formulated for Chaplygin's equation in a rectangle, one side of which is the sonic line.
      
In the plane of the hodograph of the filtration rate, the search for the stream function reduces to the solution of a boundary-value problem for an elliptical equation in a region with curvilinear boundaries.
      
The problem of the asymptotically correct reduction of a 3-D mass (heat) transfer equation to a 1-D equation in a flow with anisotropic diffusion properties is considered.
      
Evolution of Rayleigh Equation in a Problem with Phase Transition
      
The results are given of numerical solution of the Boltzmann equation in a binomial approximation in view of elastic and inelastic electron collisions in Xe+CH4 mixtures and in pure methane.
      
Trace formula for the Schroedinger equation in a finite domain
      
Integral inequalities for Volterra's equation in a Banach space with a cone
      
Uniqueness of the solution of a second-order hyperbolic equation in a normal cylinder
      
The main result of our paper is a proof of the uniqueness of the classical solution of a mixed problem for a second-order hyperbolic equation in a normal cylinder.
      
Some properties of a regular solution of the Helmholtz equation in a two-dimensional domain
      
Boundary values of generalized solutions of a homogeneous sturm - Liouville equation in a space of vector functions
      
Existence and uniqueness theorem for a solution of an ordinary differential equation in a locally convex space
      
The Mal'tsev-Nielsen equation in a free metabelian group of rank two
      
Solvability of a certain inverse problem for a parabolic equation in a H?lder class
      
The asymptotic solution of the linearized Boltzmann equation in a fast oscillating medium
      
 

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