Results 221 to 230 of about 38,858 (265)

Invariant and Partially Invariant Solutions of the Green-Naghdi Equations

Journal of Applied Mechanics and Technical Physics, 2005
All invariant and partially invariant solutions of the Green-Naghdi equations are obtained that describe the second approximation of the shallow water theory. It is proved that all nontrivial invariant solutions belong to one of the following types: Galilean-invariant, stationary, and self-similar solutions.
A P Chupakhin, Chupakhin A P
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Classifying algebraic invariants and algebraically invariant solutions

Chaos, Solitons and Fractals, 2020
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Maria Demina
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Group invariant solutions to a centro-affine invariant flow

Archiv Der Mathematik, 2017
The authors systematically study the group-invariant solutions of the centroaffine heat flow using Lie's theory of symmetry groups.
Weifeng Wo, Xiaoliu Wang, Wo Weifeng
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Extending Invariant Solutions

Games and Economic Behavior, 1997
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Vermeulen, A. J., Jansen, M. J. M.
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Differential-Invariant Solutions

Journal of Mathematical Sciences, 2018
Summary: We construct differential-invariant solutions to automorphic systems and propose a method for classifying differential-invariant submodels.
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Model of the Newtonian cosmology: Symmetries, invariant and partially invariant solutions

Communications in Nonlinear Science and Numerical Simulation, 2016
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Igor I. Klebanov, O. Startsun, Sergey Ivanov   +2 more
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On invariant solutions of the generalised boussinesq equation

International Journal of Engineering Science, 1988
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Bhutani, O. P., Mital, Poornima, Chandrasekaran, G.   +2 more
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A Solution to the Invariant Subspace Problem

Bulletin of the London Mathematical Society, 1984
In studying the action of a matrix of a finite dimensional linear space, the existence of eigenvectors enables one to put the matrix in upper triangular form. Although the understanding is not nearly so complete for compact operators on Banach spaces, an analogous decomposition is possible, where eigenvectors must be replaced by invariant subspaces ...
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Monotone Invariant Solutions to Differential Inclusions

Journal of the London Mathematical Society, 1977
Abstract : Let a given set be endowed with a preference preordering, and consider the problem of finding a solution to a differential inclusion which remains in the given set and evolves monotonically with respect to the preordering. Sufficient conditions are given for the existence of such a trajectory, couched in terms of a notion of tangency ...
Clarke, Frank H., Aubin, J.-P.
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Explicit invariant solutions for invariant linear differential operators

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1984
SynopsisLet F be a real analytic function on a real analytic manifold X. Let P be a linear differential operator on X such that , where Q is an ordinary differential operator with analytic coefficients whose singular points are all regular. For each (isolated) critical value z of F, we construct locally an F-invariant solution u of the equation Pu - v,
Szmydt, Zofia, Ziemian, Bogdan
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