Let 5 be an orthodox semigroup and γ the least inverse congruence on 5. C(S) denotes the set of all congruences on S. In this paper we introduce the concept of admissible triples for S, where admissible triples are c...Let 5 be an orthodox semigroup and γ the least inverse congruence on 5. C(S) denotes the set of all congruences on S. In this paper we introduce the concept of admissible triples for S, where admissible triples are constructed by the congruences on S/γ , the equivalences on E(S)/L and E(S)/R. The notation Ca(S) denotes the set of all admissible triple for S. We prove that every congruence ρ on S can be uniquely determined by the admissible triple induced by ρ, and there exists a lattice isomomorphism between C(S) and Ca(S).展开更多
In this paper the Cauchy problem for a class of nonhomogenous Navier-Stokes equationsin the infinite cylinder is considered. We construct a unique local solution infor a class of nonhomogeneous Navier-Stokes equation...In this paper the Cauchy problem for a class of nonhomogenous Navier-Stokes equationsin the infinite cylinder is considered. We construct a unique local solution infor a class of nonhomogeneous Navier-Stokes equations provided that initialdata are in, where is an exponent determined by the structure of nonlinear termsand p,q are such that . Meanwhile under suitable conditions we also obtain thatprovided that initial data are sufficiently small.展开更多
基金The NNSF (19970128) of China and the NSF ((011438), (021073), (Z02017)) of Guangdong Province.
文摘Let 5 be an orthodox semigroup and γ the least inverse congruence on 5. C(S) denotes the set of all congruences on S. In this paper we introduce the concept of admissible triples for S, where admissible triples are constructed by the congruences on S/γ , the equivalences on E(S)/L and E(S)/R. The notation Ca(S) denotes the set of all admissible triple for S. We prove that every congruence ρ on S can be uniquely determined by the admissible triple induced by ρ, and there exists a lattice isomomorphism between C(S) and Ca(S).
文摘In this paper the Cauchy problem for a class of nonhomogenous Navier-Stokes equationsin the infinite cylinder is considered. We construct a unique local solution infor a class of nonhomogeneous Navier-Stokes equations provided that initialdata are in, where is an exponent determined by the structure of nonlinear termsand p,q are such that . Meanwhile under suitable conditions we also obtain thatprovided that initial data are sufficiently small.
