279 citations
- Tata Institute of Fundamental ResearchIN32 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Heidelberg Institute for Theoretical StudiesDE4 papers
- Laboratoire Jean-Alexandre DieudonnéFR4 papers
- University of WürzburgDE4 papers
- Heidelberg UniversityDE3 papers
- Indian Institute of Technology BombayIN3 papers
- International Centre for Theoretical SciencesIN3 papers
- Lund UniversitySE3 papers
- Université Côte d'AzurFR3 papers
- Indian Institute of Science BangaloreIN2 papers
- Indian Institute of Technology BhubaneswarIN2 papers
16 papers · 1 filter
Critical growth elliptic problems with Choquard type nonlinearity:A survey
Tuhina Mukherjee, K. Sreenadh
This article deals with a survey of recent developments and results on Choquard equations where we focus on the existence and multiplicity of solutions of the partial differential…
Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders
Arijit Hazra, Praveen Chandrashekar, Dinshaw S. Balsara
Computational electrodynamics (CED), the numerical solution of Maxwell's equations, plays an incredibly important role in several problems in science and engineering. High accuracy…
A global divergence conforming DG method for hyperbolic conservation laws with divergence constraint
Praveen Chandrashekar
We propose a globally divergence conforming discontinuous Galerkin (DG) method on Cartesian meshes for {\em curl-type hyperbolic conservation} laws based on directly evolving the f…
Microlocal analysis of a restricted ray transform on symmetric -tensor fields in
Venkateswaran P. Krishnan, Rohit Kumar Mishra
We study the microlocal inversion of the ray transform on symmetric -tensor fields restricted to all lines passing through a curve in . From this incomplete data…
Second order finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems
Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg +1
We develop a second order well-balanced finite volume scheme for compressible Euler equations with a gravitational source term. The well-balanced property holds for arbitrary hydro…
On the Strong unique continuation property of a degenerate elliptic operator with Hardy type potential
Agnid Banerjee, Arka Mallick
In this paper we prove strong unique continuation for the following degenerate elliptic equation \begin{equation}\label{e0} Δ_zu +|z|^2\partial_t^2u = Vu,\quad (z,t) \in \mathbb{R}…