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- Chinese Academy of SciencesCN227 papers
- Peking UniversityCN144 papers
- Tsinghua UniversityCN141 papers
- Institute of PhysicsPL111 papers
- University of Chinese Academy of SciencesCN107 papers
- Singapore University of Technology and DesignSG59 papers
- University of Hong KongHK58 papers
- Beijing Institute of Optoelectronic TechnologyCN55 papers
- Beijing Normal UniversityCN54 papers
- Centre National de la Recherche ScientifiqueFR50 papers
- Institute of Applied Physics and Computational MathematicsCN50 papers
- Beihang UniversityCN48 papers
74 papers · 1 filter
Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We classify the singular limits relative to a free boundary problem arising in plasma physics in dimension , under suitable natural integral bounds. It turns out that one of t…
Observability and controllability for Schrödinger equations in the semi-periodic setting
Jingrui Niu, Zehua Zhao
Strichartz estimates, well-posedness theory and long time behavior for (nonlinear) Schrödinger equations on waveguide manifolds are intensively s…
Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions
Aleksei Liubavin, Mingkang Ni, Ye Zhang +1
In this study, we investigate the dynamics of moving fronts in three-dimensional spaces, which form as a result of in-situ combustion during oil production. This phenomenon is also…
Bilinear estimate for Schrödinger equation on
Yangkendi Deng, Boning Di, Chenjie Fan +1
We continue our study of bilinear estimates on waveguide started in \cite{DFYZZ2024,Deng2023}. The main point of the current article is, comparing to…
Quantization property of n-Laplacian mean field equation and sharp Moser-Onofri inequality
Lu Chen, Guozhen Lu, Bohan Wang
In this paper, we are concerned with the following -Laplacian mean field equation \[ \left\{ {\begin{array}{*{20}{c}} { - Δ_n u = λe^u} & {\rm in} \ \ Ω, \\ {\ \ \ \ u = 0} &\ {…
Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
We are concerned with Grad-Shafranov type equations, describing in dimension the equilibrium configurations of a plasma in a Tokamak. We obtain a sharp superlinear generaliza…