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Laplacian Growth, Elliptic Growth, and Singularities of the Schwarz Potential
Laplacian Growth Elliptic Growth Singularities Schwarz Potential
2010/12/13
The Schwarz function has played an elegant role in understanding and in generating new examples of exact solutions to the Laplacian growth (or \Hele-Shaw\) problem in the plane.
Statistical properties of nonuniformly expanding 1d maps with logarithmic singularities
Statistical properties of nonuniformly 1d maps logarithmic singularities
2010/12/13
For a certain parametrized family of maps on the circle, with critical points and
logarithmic singularities where derivatives blow up to infinity, a positive measure set of parameters was constructed...
In this work we prove some Hardy-Poincar´e inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with vertex on the sing...
A criterion for non-degeneracy of singularities of integrable Hamiltonian systems
criterion non-degeneracy of singularities integrable Hamiltonian systems
2010/12/15
Let (M, !) be a symplectic 2n-manifold and h1, . . . , hn be functionally independent com-
muting functions onM. We present a geometric criterion for non-degeneracy of a singular point P ∈ M (i.e. su...
A note on Hardy's inequalities with boundary singularities
Hardy inequality extremals p-Laplacian
2010/12/8
Let be a smooth bounded domain in RN with N 1. In this paper we study the Hardy-Poincar´e inequalities with weight function singular at the boundary of .In particular we give sufficient condit...
Reduction of Singularities of Three-Dimensional Line Foliations
Singularities of Three-Dimensional Line Foliations
2010/12/1
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...
Removable singularities and a vanishing theorem for Seiberg-Witten invariants
Removable singularities Seiberg-Witten invariants
2010/3/17
Removable singularities and a vanishing theorem for Seiberg-Witten invariants。
We describe a variety of symplectic surgeries (not a priori compatible with Kaehler structures) which are obtained by combining local Kaehler degenerations and resolutions of singularities. The effect...
Singularities of the susceptibility of an SRB measure in the presence of stable-unstable tangencies
SRB measure stable-unstable tangencies
2010/4/1
Let $\rho$ be an SRB (or "physical"), measure for the discrete time evolution given by a map $f$, and let $\rho(A)$ denote the expectation value of a smooth function $A$. If $f$ depends on a parameter...
Ambient Isotopic Meshing for Implicit Algebraic Surfaces with Singularities
Ambient Isotopic Meshing Implicit Algebraic Surfaces Singularities
2013/9/9
A complete method is proposed to compute an ambient isotopic meshing for an implicit algebraic surface with singularities. By ambient isotopic, we mean a meshing with correct topology and any given pr...
Time-Periodic Solutions of the Einstein's Field Equations II: Geometric Singularities
Einstein's ˉeld equations time-periodic solution Riemann curvature tensor singu- larity event horizon
2018/4/20
In this paper, we construct several kinds of new time-periodic solutions of the vacuum Einstein's field equations whose Riemann curvature tensors vanish, keep finite or take the infinity at some point...
Bounds for Asymptote Singularities of Certain Nonlinear Differential Equations
Bounded operator Comparison methods Generalized Emden-Fowler equations Nonlinear differential equations Vertical asymptote
2008/7/2
Bounds for Asymptote Singularities of Certain Nonlinear Differential Equations.
Handlebody argument for modifying achiral Lefschetz singularities
Handlebody argument achiral Lefschetz singularities
2010/11/30
In [3] we gave a handlebody description of a broken Lefschetz fibration on CP2 as a ounterexample to Gay and Kirby’s conjecture on the necessity of negative Lefschetz singularities for generalized fib...
<正> In a recent paper the present author has established somerepresentations for a plane curve C in the neighbourhood of a singularpoint O characterized by the property that the tangent t(?) of C at O...
This paper uses the geometric singular perturbationtheory to investigate dynamical behaviors and singularities in afundamental power system presented in a single-machineinfinite-bus formulation. The p...