搜索结果: 1-14 共查到“几何学 solutions”相关记录14条 . 查询时间(0.065 秒)
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Inviscid model, singularity explicit solutions 2D Boussinesq equations
2014/4/3
We give an example of a well posed, nite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce nite time sing...
Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation
Existence and Blow-Up Behavior Solutions of the Generalized Jang Equation Differential Geometry
2012/6/9
The generalized Jang equation was introduced in an attempt to prove the Penrose inequality in the setting of general initial data for the Einstein equations. In this paper we give an extensive study o...
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
homogeneous solutions Yamabe problem spheres Differential Geometry
2011/9/21
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications
Weighted Laplacians Feller property stochastic completeness essential spectrum gradient Ricci solitons
2011/8/26
Abstract: The aim of this paper is to suggest a new viewpoint to study qualitative properties of solutions of semilinear elliptic PDE's defined outside a compact set. The relevant tools come from spec...
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2011/2/28
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...
In this paper, we investigate the group-invariant solutions of the hyperbolic geometric flow on Riemann surfaces bythe application of Lie groups in differential equations, including solutions of separ...
The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
The Harnack inequality related properties elliptic
2010/11/15
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong maximum principle, H...
Coupling solutions of BGG-equations in conformal spin geometry
overdetermined systems conformal spin geometry twistor spinors conformal Killing fields conformal Killing forms
2010/12/1
BGG-equations are geometric overdetermined systems of PDEs on parabolic geometries. Normal solutions of BGG-equations are particularly interesting and we give a simple formula for the necessary and su...
A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole
Vector Field Method Approach Improved Decay for Solutions Wave Equation Kerr Black Hole
2010/12/15
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates || C(t)−3
2 + on a compact r...
Dynamics of soliton-like solutions for slowly varying, generalized gKdV equations: refraction vs. reflection
gKdV equations integrability theory soliton dynamics slowly varying medium
2010/12/13
In this work we continue our study of the description of the soliton-like solutions of the variable coecients, subcritical gKdV equation ut + (uxx u + a("x)um)x = 0; in Rt Rx; m = 2; 3 ...
Non-degenerate solutions of universal Whitham hierarchy
non-degenerate solutions universal Whitham hierarchy Riemann sphere
2010/4/6
The notion of non-degenerate solutions for the dispersionless Toda hierarchy is generalized to the universal Whitham hierarchy of genus zero with $M+1$ marked points. These solutions are characterized...
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...
On the Probability of the Number of Solutions for the P4P Problem
Camera calibration pose determination perspective four point problem P4P probability number of solutions
2013/9/9
This paper studies the multi-solution phenomenon for the perspective four point(P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P problem could have up to ...
Lp Solutions of Vector Refinement Equations with General Dilation Matrix
Lp Solutions Vector Refinement Equations General Dilation Matrix
2018/4/20
The purpose of this paper is to investigate the solutions of refinement equations of the form'(x) = X®2Zs a(®)'(Mx ¡ ®); x 2 Rs; where the vector of functions ' = ('1; :::; 'r)T is...