(1+2)-Dimensional Radially Symmetric Wave Maps Revisit
نویسندگان
چکیده
The author gives an alternative and simple proof of the global existence smooth solutions to Cauchy problem for wave maps from (1+2)-dimensional Minkowski space arbitrary compact Riemannian manifold without boundary, smooth, radially symmetric data. can also treat non-compact under some additional assumptions which generalize existing ones.
منابع مشابه
Stability of Spherically Symmetric Wave Maps
We study Wave Maps from R2+1 to the hyperbolic plane H2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+μ, μ > 0. We show that such Wave Maps don’t develop singularities in finite time and stay close to the Wave Map extending the spherically symmetric data(whose existence is ensured by a theorem of Christodoulou-T...
متن کاملRadially symmetric nonlinear photonic crystals
Different types of quadratic, radially symmetric, nonlinear photonic crystals are presented. The modulation of the nonlinear coefficient may be a periodic or an aperiodic function of the radial coordinate, whereas the azimuthal symmetry of the crystal may be either continuous or discrete. Nonlinear interactions within these structures are studied in two orientations, transverse and longitudinal...
متن کاملSelf-similar spherically symmetric wave maps coupled to gravity
We investigate spherically symmetric continuously self-similar (CSS) solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods, we provide evidence for the existence (for small coupling) of a countable family of regular CSS solutions. This fact is argued to have important implications for the ongoing studies of black hole formation in the model.
متن کاملη-Pseudo-Hermiticity generators: radially symmetric Hamiltonians
Hamiltonian models with radial symmetry are considered and a class of their η-pseudo-Hermiticity generators is described. Illustrative examples are given, amongest are η-pseudo-Hermiticity generators for an η-pseudoHermitian Morse and an η-pseudo-Hermitian weakly perturbed harmonic oscillator models. PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
متن کاملRadially Symmetric Patterns of Reaction-Diffusion Systems
In this paper, bifurcations of stationary and time-periodic solutions to reactiondiffusion systems are studied. We develop a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns. In particular, we show the existence of localized pulses near saddle-nodes, critical Gibbs kernels in the cusp, focus patterns in Turing inst...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2022
ISSN: ['0252-9599', '1572-9133', '1860-6261']
DOI: https://doi.org/10.1007/s11401-022-0358-x