Results 11 to 20 of about 3,020,455 (306)

Singular solutions of a singular differential equation

open access: yesJournal of Inequalities and Applications, 2000
An attempt is made to study the problem of existence of singular solutions to singular differential equations of the type which have never been touched in the literature. Here and are positive constants and is a positive continuous function on .
Naito Manabu, Kusano Takaŝi
doaj   +5 more sources

Singular solutions in soft limits [PDF]

open access: yesJournal of High Energy Physics, 2020
A generalization of the scattering equations on X (2, n), the configuration space of n points on β„‚β„™1, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors.
Freddy Cachazo, Bruno Umbert, Yong Zhang
doaj   +3 more sources

Singular solutions of doubly singular parabolic equations with absorption

open access: yesElectronic Journal of Differential Equations, 2000
In this paper we study a doubly singular parabolic equation with absorption, $$ u_t = hbox{ m div} ( |abla u^m|^{p-2}abla u^m ) -u^q $$ with $m>0$, $p>1$, $m(p-1)1$.
Yuanwei Qi, Mingxin Wang
doaj   +1 more source

Singular vacuum solutions as singular matter solutions: Where do spacetime singularities come from?

open access: yesEPL (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
openaire   +2 more sources

On the Existence of Singular Solutions [PDF]

open access: yesgmj, 2001
Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = Ζ’(𝑑, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, Ο„) β†’ 𝐑, Ο„ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.
Bartuőek, M., Osička, J.
openaire   +2 more sources

Singular Higher-Order Complete Vector Bases for Finite Methods [PDF]

open access: yes, 2004
This paper presents new singular curl- and divergence- conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and ...
Graglia, Roberto, Lombardi, Guido
core   +1 more source

Singular Higher Order Divergence-Conforming Bases of Additive Kind and Moments Method Applications to 3D Sharp-Wedge Structures [PDF]

open access: yes, 2008
We present new subsectional, singular divergence conforming vector bases that incorporate the edge conditions for conducting wedges. The bases are of additive kind because obtained by incrementing the regular polynomial vector bases with other ...
GRAGLIA, Roberto   +2 more
core   +1 more source

The problem of dynamic cavitation in nonlinear elasticity [PDF]

open access: yes, 2012
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Miroshnikov, Alexey   +5 more
core   +2 more sources

Lagrangian flows for vector fields with gradient given by a singular integral [PDF]

open access: yes, 2013
We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
core   +1 more source

Singular solutions to a quasilinear {ODE}

open access: yesAdvances in Differential Equations, 2005
n ...
DALBONO, Francesca   +1 more
openaire   +6 more sources

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