Results 231 to 240 of about 38,858 (265)
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1986
When one is confronted with a complicated system of partial differential equations arising from some physically important problem, the discovery of any explicit solutions whatsoever is of great interest. Explicit solutions can be used as models for physical experiments, as benchmarks for testing numerical methods, etc., and often reflect the asymptotic
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When one is confronted with a complicated system of partial differential equations arising from some physically important problem, the discovery of any explicit solutions whatsoever is of great interest. Explicit solutions can be used as models for physical experiments, as benchmarks for testing numerical methods, etc., and often reflect the asymptotic
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Maxwell's equations in Segal's model: Solutions and their invariance
Letters in Mathematical Physics, 1980We determine all smooth solutions of Maxwell's equation in Segal's universe; furthermore we show that the group of diffeomorphisms stabilizing the space of solutions of these equations is the conformal group of Segal's model.
Cahen, Michel, Gutt, Simone
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Functionally invariant solutions to Maxwell’s system
Journal of Applied and Industrial Mathematics, 2017Summary: We consider the problem of the existence of functionally invariant solutions to Maxwell's system. The solutions found contain functional arbitrariness, which is used for determining the parameters of Maxwell's system (the dielectric and magnetic constants).
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On the invariance of solutions of finite games
Mathematical Social Sciences, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vermeulen, A. J., Jansen, M. J. M.
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Maintaining Solution Invariants in the Numerical Solution of ODE
It is often desirable when numerically solving systems of ODEs to be able to conserve any invariance numerically, since the solution may be sensitive to small perturbations in these invariants. This paper considers a technique which can be used for nonlinear equality constraints which in effect turns the problem into a system of differential algebraic ...
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Invariant Measures and Statistical Solutions
2016In this chapter we prove the existence of invariant measures associated with two-dimensional autonomous Navier–Stokes equations. Then we introduce the notion of a stationary statistical solution and prove that every invariant measure is also such a solution.
Grzegorz Łukaszewicz, Piotr Kalita
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Group-Invariant Solutions of Hydrodynamics
1995The equations of hydrodynamics, being nonlinear, are in general difficult to solve analytically. A great deal of effort has therefore gone into the numerical solution of these equations, using a wide variety of algorithms. Issues associated with these numerical solutions include accuracy and stability of the algorithms and their associated solutions ...
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Invariance, Degeneracy, and Continuous Solutions
1994Abstract The formation of tangential discontinuities, as an intrinsic part of the static equilibrium of a magnetic field B embedded in an infinitely conducting fluid, follows directly from the mathematical properties of the equilibrium equations.
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