Results 271 to 280 of about 8,898,771 (321)
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C-singular solutions of the capillary problem
Journal für die reine und angewandte Mathematik (Crelles Journal), 1999Summary: 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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On the Solution of a Singular Integral Equation
Differential Equations, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Singular Perturbation Solutions of Noisy Systems
SIAM Journal on Applied Mathematics, 1995Summary: Recent work on singular perturbation solutions that persist in the presence of noise is described. Two different settings are considered: small deviation theory in quasi-static problems, where there are small amplitude but highly irregular perturbations, and averaging problems where there are ergodic stochastic perturbations. In the first case,
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REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS
Reviews in Mathematical Physics, 1992Local 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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Computation of Maxwell singular solution by nodal-continuous elements
Journal of Computational Physics, 2014Huoyuan Duan +3 more
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Singular solutions in elasticity
Acta Mechanica, 1967General 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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A very singular solution of the heat equation with absorption
, 1986H. Brezis, L. Peletier, D. Terman
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