Concepedia

The blow up analysis of solutions of the elliptic sinh-Gordon equation

Jürgen Jost, Guofang Wang, Dong Ye, Chunqin Zhou

Calculus of Variations and Partial Differential Equations · 2007 · 53 citations · 29 references

Open access

Concepts

Spectral TheoryMonge-ampere EquationElliptic EquationEngineeringGeometric Partial Differential EquationQuantum Field TheoryElliptic Sinh-gordon EquationBlow-up ValuesParabolic EquationNonlinear Hyperbolic ProblemIntegrable SystemGeometric MethodElliptic Function

Abstract

In this paper, using a geometric method we show that the blow-up values of the elliptic sinh-Gordon equation are multiples of 8π.

References

29

The Existence of Minimal Immersions of 2-Spheres

J. Sacks, Karen Uhlenbeck · Annals of Mathematics · 1981 · 873 citations

Global Geometry, Geometry, Enumerative Geometry +2

Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e<sup>u</sup>in two dimensions

Frank Merle · Communications in Partial Differential Equations · 1991 · 554 citations

Spectral Theory, Blow–up Behavior, Image Size Additional +3

N-Vortex Problem: Analytical Techniques

PK Newton, MF Platzer · Applied Mechanics Reviews · 2002 · 420 citations · Full text

Numerical Analysis, Unsteady Flow, Vortex Dynamics +9

Counterexample to a conjecture of H. Hopf

Henry C. Wente · Pacific Journal of Mathematics · 1986 · 374 citations · Full text

Negative temperature states for the two-dimensional guiding-centre plasma

Glenn Joyce, David Montgomery · Journal of Plasma Physics · 1973 · 357 citations

Engineering, Physics, Plasma Theory +12