Browsing by Author "Ou, Y."
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Bilinear representation theorem
Li, K.; Martikainen, H.; Ou, Y.; Vuorinen, E. (20180101)We represent a general bilinear CalderónZygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so ... 
Fourier finite element modeling of light emission in waveguides: 2.5dimensional FEM approach
Ou, Y.; Pardo, D.; Chen, Y. (20151231)We present a Fourier finite element modeling of light emission of dipolar emitters coupled to infinitely long waveguides. Due to the translational symmetry, the threedimensional (3D) coupled waveguideemitter system can ... 
Incompressible limit of the nonisentropic NavierStokes equations with wellprepared initial data in threedimensional bounded domains
Jiang, S.; Ou, Y. (20111231)This paper studies the incompressible limit of the nonisentropic NavierStokes equations for viscous polytropic flows with zero thermal coefficient in threedimensional bounded C4domains. The uniform estimates in the ... 
Low Mach number limit of viscous polytropic fluid flows
Ou, Y. (20111231)This paper studies the singular limit of the nonisentropic NavierStokes equations with zero thermal coefficient in a twodimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained ... 
Spherically symmetric solutions to a model for phase transitions driven by configurational forces
Ou, Y.; Zhu, P. (20111231)We prove the globalintime existence of spherically symmetric solutions to an initialboundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ... 
The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks
Ou, Y.; Zhu, P. (20131231)In this article we study, by the vanishing viscosity method, the sensitivity analysis of an optimal control problem for 1D scalar conservation laws in the presence of shocks. It is reduced to investigate the vanishing ...