Quasilinear systems, semigroups, and nonlinear coupling
Conference
·
OSTI ID:7043775
It is known that the semigroup S(t) corresponding to the sum A + B of two non-commuting generators, each having semigroups S/sub A/(t), respectively S/sub B/(t), is given by the Trotter product S/sub A/(t)*S/sub B/(t) = lim n..-->..infinity(S/sub A/(t/n)S/sub B/(t/n))/sup n/ provided the latter converges. We apply this principle in treating a quasilinear system with nonlinear coupling. The conjecture is that some hydrodynamic systems may have semigroups. 9 refs.
- Research Organization:
- Los Alamos National Lab., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 7043775
- Report Number(s):
- LA-UR-86-3400; CONF-860794-1; ON: DE87001956
- Country of Publication:
- United States
- Language:
- English
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