排序方式: 共有4条查询结果,搜索用时 5 毫秒
1
1.
2.
袁明生 《上海交通大学学报(英文版)》2005,10(3):322-326
IntroductionConsider the following initial value problem inR1++3={t>0, x∈R3}: ( t2-Δx)ε+ F1( tε p1-1 t+ε), tθε q1-1 tθε) = 0( t2- 4Δx)θε+ F2( tε p2-1 tε, tθε q2-1 tθε) = 0ε t=0=εJ+1U0r,r -ε r0 tε t=0=εJU1r,r -ε r0θε t=0=εJ+1V0r,r -ε 2r0 tθε t=0=εJV1r,r -ε 2r0(1)where r= x with x=(x1,x2,x3)∈R3, r0>0,and 1相似文献
3.
袁明生 《上海交通大学学报(英文版)》2008,13(4):499-508
This paper studies the asymptotic behavior of the diffractive interaction of pulses with two linear phases of length ε << 1 in 2 × 2 semilinear strictly hyperbolic system with constant coefficients. By a formal analysis, it derives problems of profiles in the expansion of the pulse like solution with respect to the length ε, and obtains that the leading profile satisfies a nonlinear Schrodinger type system. The problems of profiles are solved, and the formal expansion is justified. It is observed that there is interaction between two phases starting at the third order profiles. 相似文献
4.
1