Harmonic and biharmonic degeneracy
نویسندگان
چکیده
منابع مشابه
Harmonic Maps and Biharmonic Maps
This is a survey on harmonic maps and biharmonic maps into (1) Riemannian manifolds of non-positive curvature, (2) compact Lie groups or (3) compact symmetric spaces, based mainly on my recent works on these topics.
متن کاملOn harmonic and biharmonic Bézier surfaces
We present a new method of surface generation from prescribed boundaries based on the elliptic partial differential operators. In particular, we focus on the study of the so-called harmonic and biharmonic Bézier surfaces. The main result we report here is that any biharmonic Bézier surface is fully determined by the boundary control points. We compare the new method, by way of practical example...
متن کاملOn the Stability and Accuracy of the Harmonic and Biharmonic Isoneutral Mixing Operators in Ocean Models
Ocean models usually rely on a tracer mixing operator which diffuses along isoneutral directions. This requirement is imposed by the highly adiabatic nature of the oceanic interior, and a numerical simulation needs to respect these small levels of dianeutral mixing to maintain physically realistic results. For non-isopycnic models this is however non-trivial due to the non-alignment of the vert...
متن کاملSome Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings
Recommended by Narendra Kumar Govil We first obtain the relations of local univalency, convexity, and linear connectedness between analytic functions and their corresponding affine harmonic mappings. In addition, the paper deals with the regions of variability of values of affine harmonic and biharmonic mappings. The regions their boundaries are determined explicitly and the proofs rely on Schw...
متن کاملDiscrete Green's Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms
Recent research has shown that inpainting with the Laplace or biharmonic operator has a high potential for image compression, if the stored data is optimised and sufficiently sparse. The goal of our paper is to connect these linear inpainting methods to sparsity concepts. To understand these relations, we explore the theory of Green’s functions. In contrast to most work in the mathematical lite...
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: Kodai Mathematical Journal
سال: 1973
ISSN: 0386-5991
DOI: 10.2996/kmj/1138846864