Functionals with values in the Non-Archimedean field of Laurent series and their applications to the equations of elasticity theory

Details Functionals with values in the Non-Archimedean field of Laurent series and their applications to the equations of elasticity theory Functionals with values in the Non-Archimedean field of Laurent series and their applications to the equations of elasticity theory

2002-04-17

arxiv.org/abs/math-ph/0204037v1

Physics

Mathematical Physics

Latex2e, 28 pages, 24 figures

Scientific paper

Functionals with values in Non-Archimedean field of Laurent series applied to the definition of generalized solution (in the form of soliton and shock wave) of the Hopf equation and equations of elasticity theory. Calculation method for the profile of infinitely narrow soliton and shock wave is proposed. Applying this method, calculations of profiles are reduced to the nonlinear system of algebraic equations in $\mathbf{R}^{n+1}$, $n>1$. It is shown that there is a possibility to find out some of the solutions of this system using the Newton iteration method. Examples and numerical tests are considered.

Affiliated with

Also associated with

No associations

Rating

Functionals with values in the Non-Archimedean field of Laurent series and their applications to the equations of elasticity theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Functionals with values in the Non-Archimedean field of Laurent series and their applications to the equations of elasticity theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functionals with values in the Non-Archimedean field of Laurent series and their applications to the equations of elasticity theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-304767