Partial Differential Equations of Mathematical Physics
نویسندگان
چکیده
منابع مشابه
Partial Differential Equations of Physics
The physical world is traditionally organized into various systems: electromagnetism, perfect fluids, Klein-Gordon fields, elastic media, gravitation, etc. Our descriptions of these individual systems have certain features in common: Use of fields on a fixed space-time manifold M , a geometrical interpretation of the fields in terms of M , partial differential equations on these fields, an init...
متن کاملPower Series Solution to Non-Linear Partial Differential equations of Mathematical Physics
Power Series Solution method has been traditionally used to solve Linear Differential Equations: in Ordinary and Partial form. However, despite their usefulness the application of this method has been limited to this particular kind of equations. We propose to use the method of power series to solve non-linear partial differential equations. We apply the method in several typical non linear par...
متن کاملSpecific features of differential equations of mathematical physics
Three types of equations of mathematical physics, namely, the equations, which describe any physical processes, the equations of mechanics and physics of continuous media, and field-theory equations are studied in this paper. In the first and second case the investigation is reduced to the analysis of the nonidentical relations of the skew-symmetric differential forms that are obtained from dif...
متن کاملImproved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics
We use the improved general mapping deformationmethod based on the generalized Jacobi elliptic functions expansionmethod to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical physics via the generalized nonlinear Klein-Gordon equation and the classical Boussinesq equations. As a result, some new generalized Jacobi ellipt...
متن کاملSpecial Session 20: Partial Differential Equations from Fluid Mechanics and Mathematical Physics
In past work, the author has developed the Operator Method to study the existence of convex classical solutions to convex one-layer and multi-layer freeboundary problems in fluid dynamics (see Trans. Amer. Math. Soc. 350(1998), pp. 2981-3020, for example). The general idea was to obtain the convex free boundary either as a convex functional minimizer (convex variational inequalities), or as the...
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: Nature
سال: 1932
ISSN: 0028-0836,1476-4687
DOI: 10.1038/129850a0