Results 271 to 280 of about 65,657 (313)

Singularities in solutions of Burgers' equation

Physics Letters A, 1997
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Kamenshchik, A. Yu., Khalatnikov, I. M., Martellini, M.   +2 more
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Singular Solutions of Clairaut Equations

Russian Physics Journal, 2018
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Zyryanova, O. V., Mudruk, V. I.
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ON SYSTEMS WITH REGULAR SINGULARITIES, AND THEIR SOLUTIONS

Mathematics of the USSR-Izvestiya, 1986
In a space \(C^ n\) an integrable system of differential Pfaff equations of the form \(df=\omega f\) is considered, where f is an unknown p- dimensional vector of complex-valued functions, \(\omega =\sum^{m}_{i=1}A_ i\frac{dL_ i}{L_ i}\) is a matrix differential form, \(A_ i\) are constant commutative complex \(p\times p\)-matrices. It is supposed that
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Singular vacuum solutions as singular matter solutions: Where do spacetime singularities come from?

EPL (Europhysics Letters), 2017
A direct evidence for the existence of spacetime singularities is the existence of singularities in vacuum solutions of the Einstein equation. A singular vacuum solution implies that spacetime itself may have singularities. In this paper, we exemplify that a singular vacuum solution can also serve as a non-vacuum solution of the Einstein equation with ...
Yu-Zhu Chen, Wu-Sheng Dai
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Singularities of Solutions of the Eikonal Equation

Differential Equations, 2019
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Perturbation of Solutions with Moving Singularities

Theoretical and Mathematical Physics, 2001
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On the Solution of a Singular Integral Equation

Differential Equations, 2003
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C-singular solutions of the capillary problem

Journal für die reine und angewandte Mathematik (Crelles Journal), 1999
Summary: The problem of determining the surface interface of fluid partly filling a semi-infinite capillary tube closed at one end is considered, in the absence of gravity. It is known that solutions of the formal equations for a solution as a graph covering the base do not in general exist. In this paper it is shown that whenever smooth solutions fail
Finn, Robert, Neel, Robert Weston
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REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS

Reviews in Mathematical Physics, 1992
Local and global regularity properties of weak solutions of the Schrödinger equation −Δu+qu=λu play an important role in the spectral theory of the corresponding operator [Formula: see text]. Central among these properties is local boundedness of the solutions u, which is derived in an elementary way for potentials q whose negative parts q− lie in the
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Singular solutions in elasticity

Acta Mechanica, 1967
General solutions of the time-independent equations of motion for linear elasticity with couplestresses are studied. The completeness of a displacement potential similar to theGalerkin-Somigliana representation is proved. The fundamental singular solution of the field equations is defined with the aid of the reciprocal work theorem.
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