Long time existence for the bosonic membrane in the light cone gauge

DOI10.1007/s12220-019-00269-1zbMath1461.35150arXiv1306.1996OpenAlexW2971549638MaRDI QIDQ2659004

Weiping Yan, Binlin Zhang

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1996

zbMATH Keywords

smooth solutionsNash-Moser iteration schemearea preserving constraintquasilinear degenerate hyperbolic system of second ordertimelike submanifolds with vanishing mean curvature

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic equations on manifolds (58J45) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (8)

The inviscid limit for the incompressible stationary magnetohydrodynamics equations in three dimensions ⋮ Asymptotic stability of explicit blowup solutions for three-dimensional incompressible magnetohydrodynamics equations ⋮ Global existence of solution for Monge-Ampére equation with an external periodic force on 3-dimensional torus ⋮ Construction of a family of stable finite-time blowup solutions for the viscous Boussinesq system ⋮ Asymptotic stability of stationary solutions for the Kirchhoff equation ⋮ Global stability dynamics of the timelike extremal hypersurfaces in Minkowski space ⋮ The inviscid limit for the steady incompressible Navier-Stokes equations in the three dimension ⋮ Sobolev regular solutions for the incompressible Navier-Stokes equations in higher dimensions: asymptotics and representation formulae

Cites Work

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• The motion of closed hypersurfaces in the central force fields
• Closure and convexity results for closed relativistic strings
• Local well-posedness for membranes in the light cone gauge
• Nonlinear second order evolution inclusions with noncoercive viscosity term
• The imbedding problem for Riemannian manifolds
• Local solutions to a class of Monge-Ampère equations of mixed type
• The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
• The formation of black holes in general relativity.
• Energy estimates for a class of degenerate hyperbolic equations
• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Long-time behavior of solutions to nonlinear evolution equations
• On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes
• Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime
• TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME
• Equations for the motion of relativistic torus in the Minkowski space R1+n
• On the cauchy problem for weakly hyperbolic equations
• Global existence for nonlinear wave equations
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Hypersurfaces in Minkowski space with vanishing mean curvature
• Harmonic coordinates in the string and membrane equations
• On the Cauchy problem of degenerate hyperbolic equations
• On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2

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