Примеры использования Exact solutions на Английском языке и их переводы на Русский язык
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Exact Solutions of Einstein's Field Equations.
Symmetry Properties and Exact Solutions of the Linear Kolmogorov.
Exact solutions of a stationary problem are constructed.
Exact Solutions of the Transonic Equations of Gas Dynamics.
Numerical results for one-dimensional case were verified by comparing with exact solutions.
Some new exact solutions for the considered PDE are obtained.
Modeling of the Two-layer Flows by Evaporation on the Basis of the Exact Solutions part 1.
Functional Equations: Exact Solutions at EqWorld: The World of Mathematical Equations.
Key words: ideal incompressible liquid,free-boundary flows, exact solutions, complex velocity.
The exact solutions of the differential Oberbeck-Boussinesq equations are constructed.
The reduced equations are integrated and exact solutions of the corresponding nonlinear equations are obtained.
Exact solutions of the two-dimensional equations of Navier-Stokes which write distribution of waves of a tsunami are found.
In some cases we integrate the reduced equations and to obtain exact solutions of the linear Kolmogorov equation.
Key words: exact solutions, layer deformation, free boundary, heat-conducting liquid, tangential stresses.
Key words: convection in a fluid, thermocapillary interface, evaporation through the interface,interface conditions, exact solutions.
Lie Symmetry Analysis and Some New Exact Solutions for a Variable Coefficient Modified Kortweg- De Vries Equation Arising in Arterial Mechanics.
Closed timelike curves, in which the world line ofan object returns to its origin, arise from some exact solutions to the Einstein field equation.
To construct exact solutions, the methods of the modern theory of symmetries of differential equations and the theory of singular solutions are used.
The permissibility of time travel is represented mathematically by the existence of closed timelike curves in some exact solutions to General Relativity.
The author constructed new exact solutions of the Oberbeck-Boussinesq equations describing unsteady flow of viscous incompressible fluid in a horizontal strip and in a rotating tube.
I received my Master's degree in Physics from the Saint Petersburg State University(Department of high mathematics and mathematical physics),with the research on group symmetries and exact solutions of nonlinear differential equations.
The exact solutions of the systems of equations for the zeroth and first orders of approximations with respect to a small parameter of the problem, are constructed in the two-dimensional case.
My interests in General Relativity cover exact solutions of Einstein's field equations and analytical models for astrophysics and cosmology, Hamiltonian formulation of gravity and possible approaches to quantum gravity.
Exact solutions are known for a small class of distributions, particularly when the marginalized-out parameter is the conjugate prior of the distribution of the data.
There are two known exact solutions, the Kerr metric and the Kerr-Newman metric, which are believed to be representative of all rotating black hole solutions, in the exterior region.
Exact solutions of equations that take into account the influence of longitudinal temperature gradients, gravity, concentration and temperature effects on the structure of the flows, and evaporation in the system are elaborated.
The exact solutions of the above problems are studied in the model of thin films; the maximum principle and the non-negativity of the solutions are discussed in the context of heat conduction.
The constructed exact solutions can be applied for modeling of flows in two-layer gasliquid system for the case when a liquid has a property of the anomalous thermocapillary effect.
Exact solutions for the variants of NMF can be expected(in polynomial time) when additional constraints hold for matrix V. A polynomial time algorithm for solving nonnegative rank factorization if V contains a monomial sub matrix of rank equal to its rank was given by Campbell and Poole in 1981.