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Grant: Canada Research Chairs

University of British Columbia

$200,000.00

Nonlinear Partial Differential Equations, Concentration Phenomena, and Applications

FY 2018-19

Summary
The proposal focuses on theoretical and interdisciplinary studies of concentration phenomena in Nonlinear Partial Differential Equations (NPDEs). Driven by reaction, diffusion and geometry, concentration phenomena appear as one of the central features in various phenomena in differential geometry (bubbling in Yamabe problem), mathematical biology (Spots and Stripes), chemistry and physics, These topics are one of the most important and active areas in the field of NPDEs. On the theoretical side, we expect to make substantial progress on fundamental problems such as classifying entire solutions and geometrization program of elliptic equations, and maintain our edge in key areas; on the applied side, our investigations will explore new frontiers in mathematical biology, material science, image processing and social sciences. We aim to excel in some of key research areas in pure and applied mathematics, in particular to become a leading centre for applied analysis and NPDEs internationally.*
Program
Canada Research Chairs
Location
British Columbia, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data

As published

Application id
1000228597-2012
Name nom
WEI, JUNCHENG
Department département
Mathematics/Faculty of Science
Organization id
2
Institution établissement
University of British Columbia
Province en
British Columbia
Province fr
Colombie-Britannique
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2018
Competition year année de concours
2012
Award amount
200000
Program id
CRC
Program name en
Canada Research Chairs
Program name fr
Chaires de recherche du Canada
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
9998
Committee name en
Canada Research Chair Selection Committee
Committee name fr
Comité de sélection des Chaires de recherche du Canada
Area of application code
9999
Area of application group en
Not available
Area of application group fr
Non disponible
Area of application en
Not available
Area of application fr
Non disponible
Research subject code
2900
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Pure mathematics
Research subject fr
Mathématiques pures
Partie
0
Nb partie
NA
Application title
Nonlinear Partial Differential Equations, Concentration Phenomena, and Applications
Keyword
NSERC
Application summary
The proposal focuses on theoretical and interdisciplinary studies of concentration phenomena in Nonlinear Partial Differential Equations (NPDEs). Driven by reaction, diffusion and geometry, concentration phenomena appear as one of the central features in various phenomena in differential geometry (bubbling in Yamabe problem), mathematical biology (Spots and Stripes), chemistry and physics, These topics are one of the most important and active areas in the field of NPDEs. On the theoretical side, we expect to make substantial progress on fundamental problems such as classifying entire solutions and geometrization program of elliptic equations, and maintain our edge in key areas; on the applied side, our investigations will explore new frontiers in mathematical biology, material science, image processing and social sciences. We aim to excel in some of key research areas in pure and applied mathematics, in particular to become a leading centre for applied analysis and NPDEs internationally.*