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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex integration and non-uniqueness of weak solutions for viscous fluids
粘性流体弱解 凸积分 非唯一性
2023/4/23
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
Uniqueness of a basic nonlinear structure
Nonlinear structure nonlinear linear time-invariant general circuit
2015/8/13
In this paper we show that systems consisting of a memory-less nonlinearity sandwiched between two linear time-invariant (LTI) operators are unique modulo scaling and delays. We mention a few corollar...
Uniqueness of circuits and systems containing one nonlinearity
The nonlinear circuits nonlinear nonlinear elements
2015/8/13
We study systems containing one memoryless nonlinearity. We show that two such systems have the same I/O operator only when they are related by simple scaling, delay, and loop transformations. The the...
Existence and Uniqueness of the Optimal Control in Hilbert Spaces for a Class of Linear Systems
Existence and Uniqueness Optimal Control Controllable Linear Systems Linear Operator
2013/1/28
We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer ...