Harmonic transformation theory of isothermal families
نویسندگان
چکیده
منابع مشابه
Isothermal and Athermal Transformation of FeNiMo Alloys
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15 صفحه اولAn Extension of Lie's Theorem on Isothermal Families.
where E(x, y) > 0. The parametric curves x = const. and y = const. form an isothermal net on 1. It is well known that h(x, y) = c, where h is a harmonic function of (x, y), that is, h satisfies the Laplace equation, hA, + h,, = 0, defines an isothermal family of curves on Z. The constant c is called the isothermal parameter. The converse of the preceding statement is not valid. That is, if g(x,...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1947
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1947-08903-5