25 citations · 127 across the 20 of their papers we have counts for
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math.AP2019★ 7 cited
Well-posedness and Critical Index Set of the Cauchy Problem for the Coupled KdV-KdV Systems on
Xin Yang, Bing-Yu Zhang
Studied in this paper is the well-posedness of the Cauchy problem for the coupled KdV-KdV systems \[ u_t+a_1u_{xxx} = c_{11}uu_x+c_{12}vv_x+d_{11}u_{x}v+d_{12}uv_{x}, \quad u(x,0)=…
math.OC2019★ 17 cited
Local Exact Controllability to the Trajectories of the Korteweg-de Vries-Burgers Equation on a Bounded Domain with Mixed Boundary Conditions
Eduardo Cerpa, Cristhian Montoya, Bingyu Zhang
This paper studies the internal control of the Korteweg-de Vries-Burgers (KdVB) equation on a bounded domain. The diffusion coefficient is time-dependent and the boundary condition…