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20132024
most citedGlobal Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force

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math.AP2024★ 1 cited

Global Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force

Shirshendu Chowdhury, Rajib Dutta, Debanjit Mondal

In this paper, we consider the Camassa-Holm equation posed on the periodic domain . We show that Camassa-Holm equation is globally approximately controllable by three d…

math.AP2022

Boundary null-controllability of 1d linearized compressible Navier-Stokes system by one control force

Kuntal Bhandari, Shirshendu Chowdhury, Rajib Dutta +1

In this article, we study the boundary null-controllability properties of the one-dimensional linearized (around with constants ) compressible Navier-Stok…

math.AP2014

Convergence of a higher-order scheme for Korteweg-de Vries equation

Rajib Dutta, Ujjwal Koley, Nils Henrik Risebro

We study the convergence of higher order schemes for the Cauchy problem associated to the KdV equation. More precisely, we design a Galerkin type implicit scheme which has higher o…

math.AP2014

Convergence of finite difference schemes for the Benjamin-Ono equation

Rajib Dutta, Helge Holden, Ujjwal Koley +1

In this paper, we analyze finite difference schemes for Benjamin-Ono equation, u_t = uu_x + Hu_{xx}, where H denotes the Hilbert transform. Both the decaying case on the full line…

math.AP2013

Operator splitting for the Benjamin-Ono equation

R. Dutta, H. Holden, U. Koley +1

In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular,…