scholarly journals Gamma Hadron Separation using Pairwise Compactness Method with HAWC

2016 ◽  
Author(s):  
Zigfried Hampel-Arias ◽  
Stefan Westerhoff
Keyword(s):  
Compactness Method

scholarly journals Normalized multi-bump solutions for saturable Schrödinger equations

2019 ◽  
Vol 9 (1) ◽  
pp. 1259-1277
Author(s):  
Xiaoming Wang ◽  
Zhi-Qiang Wang
Keyword(s):  
Variational Method ◽  
Density Function ◽  
Global Maximum ◽  
Schrodinger Equations ◽  
Density Functions ◽  
Concentration Compactness ◽  
Schrödinger Equations ◽  
Compactness Method ◽  
Normalized Solutions

Abstract In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function: $$\begin{array}{} \displaystyle -{\it\Delta} v +{\it\Gamma} \frac{I(\varepsilon x) + v^2}{1+I(\varepsilon x) +v^2} v =\lambda v,\, x\in{{\mathbb{R}}^{2}}. \end{array}$$ We prove that, with the density function being radially symmetric, for given integer k ≥ 2 there exist a family of non-radial, k-bump type normalized solutions (i.e., with the L2 constraint) which concentrate at the global maximum points of density functions when ε → 0+. The proof is based on a variational method in particular on a convexity technique and the concentration-compactness method.

On application of kinetic formulation of the Le Roux system

2009 ◽  
Vol 52 (1) ◽  
pp. 263-272 ◽  
Author(s):  
Zhixin Cheng
Keyword(s):  
New Method ◽  
Entropy Solutions ◽  
Young Measures ◽  
Compensated Compactness ◽  
Kinetic Formulation ◽  
Compactness Method ◽  
Basic Ideas

AbstractWe use the compensated compactness method coupled with some basic ideas of kinetic formulation developed by Lions, Perthame, Souganidis and Tadmor to give a refined proof for the existence of global bounded entropy solutions to the Le Roux system. This new method of the reduction of Young measures can be applied to solve other problems.

scholarly journals Existence of solutions for quasilinear problem with Neumann boundary conditions

2022 ◽  
Vol 40 ◽  
pp. 1-8
Author(s):  
Samira Lecheheb ◽  
Hakim Lakhal ◽  
Messaoud Maouni
Keyword(s):  
Boundary Conditions ◽  
Heat Equation ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Compactness Method ◽  
Quasilinear Systems ◽  
Quasilinear Problem

My abstract is:This paper is devoted to the study of the existence of weak solutionsfor quasilinear systems of a partial dierential equations which are the combinationof the Perona-Malik equation and the Heat equation. The proof of the main resultsare based on the compactness method and the motonocity arguments.

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