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Solutions of type rm for a class of singular equations [PDF]
, 1982 summary:In this paper we obtain all solutions which depend only on $r$ for a class of partial differential equations of higher order with singular ...
Altin, Abdullah +2 more
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Mathematics, 2021 The boundary value problem for the steady Navier–Stokes system is considered in a 2D multiply-connected bounded domain with the boundary having a power cusp singularity at the point O.
Kristina Kaulakytė +1 more
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Singular solutions of thep-Laplace equation [PDF]
Mathematische Annalen, 1986 Correction to the authors' paper [ibid. 275, 599-615 (1986; Zbl 0592.35031)].
Kichenassamy, Satyanad, Véron, Laurent
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On the singular solutions of PDE's.
, 1990 In the geometric formal theory of PDE's we recognize also the problem of existence of singular solutions with singularities of Thom-Boardman type, i.e., singularities that can be resolved by means of prolongations. Scope of this paper is to give a short account of some fundamental results in these directions and apply them to some important classic ...
PRASTARO, Agostino
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On the singularities of solutions to singular perturbation problems
Journal of Physics: Conference Series, 2005 We consider a singularly perturbed complex first order ODE eu ' = Φ(x, u, a, e), x, u , e > 0 is a small complex parameter and a is a control parameter. It is proven that the singularities of some solutions are regularly spaced and that they move from one to the next as a runs about a loop of index one around a value of overstability.
A Fruchard, R Schäfke
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On singular solutions of Lane-Emden equation on the Heisenberg group
Advanced Nonlinear Studies, 2023 By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: ΔHu+up=0,inHn\{0}{\Delta }_{{\mathbb{H}}}u+{u}^{p}=0\left,\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0 ...
Wei Juncheng, Wu Ke
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Mathematics, 2023 Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method.
Wafaa B. Rabie +2 more
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PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM [PDF]
Communications in Contemporary Mathematics, 2007 The equation -Δu = λeuposed in the unit ball B ⊆ ℝN, with homogeneous Dirichlet condition u|∂B= 0, has the singular solution [Formula: see text] when λ = 2(N - 2). If N ≥ 4 we show that under small deformations of the ball there is a singular solution (u,λ) close to (U,2(N - 2)).
Davila, J., Dupaigne, L.
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Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
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Radially Symmetric Solutions of
International Journal of Differential Equations, 2012 We investigate solutions of and focus on the regime and . Our advance is to develop a technique to efficiently classify the behavior of solutions on , their maximal positive interval of existence.
William C. Troy, Edward P. Krisner
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