- Stable self-similar blowup in the supercritical heat flow of harmonic\n maps
2016/10/29 by Paweł Biernat, Biernat, Paweł, Roland Donninger +3 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Applied mathematics #Computer science #Constructive #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Harmonic #Harmonic map #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Monotonic function #Nonlinear system #Physics #Stability (learning theory) #Stability and Controllability of Differential Equations #Supercritical fluid #Thermodynamics #math-ph #math.AP #math.DG #math.MP
- Convergence of an iterative algorithm for Teichmüller maps via generalized harmonic maps
2013/07/10 by Lui Lok Ming, Ming, Lui Lok, Gu Xianfeng +4 · 2 citations
Engineering · Mathematics · #Acoustics #Advanced Numerical Analysis Techniques #Algorithm #Analytic and geometric function theory #Applied mathematics #Computer science #Convergence (economics) #Differential Geometry (math.DG) #FOS: Mathematics #Harmonic #Harmonic map #Iterative Methods for Nonlinear Equations #Iterative method #Mathematical analysis #Mathematics #Physics #math.DG
- Sub-criticality of non-local Schr "odinger systems with antisymmetric\n potentials and applications to half-harmonic maps
2010/12/11 by Francesca Da Lio, Tristan Riviere, Tristan Rivière +2 · 1 citation
Computer Science · Mathematics · #35B65 #35J20 #35J60 #35S99 #58E20 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Antisymmetric relation #Boundary (topology) #Combinatorics #FOS: Mathematics #Harmonic #Harmonic map #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Partial Differential Equations #Omega #Physics #Quantum mechanics #Schrödinger equation #Spectral Theory in Mathematical Physics #Type (biology) #math.AP #msc:35B65 #msc:35J20 #msc:35J60 #msc:35S99 #msc:58E20
- Canonical surfaces associated with projectors in Grassmannian sigma models
2010/02/15 by V. Hussin, I. Yurducsen, İ. Yurduşen +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Constant (computer programming) #Constant curvature #Curvature #Gaussian curvature #Geometric Analysis and Curvature Flows #Grassmannian #Harmonic map #Sequence (biology) #Sigma #math-ph #math.MP
- Vanishing and Finiteness Results in Geometric Analysis
2008/01/01 by Stefano Pigola, Marco Rigoli, Alberto G. Setti · 3 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Analytic and geometric function theory #Generalization #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Harmonic #Harmonic map #Hermitian matrix #Holomorphic function #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Robotic Mechanisms and Dynamics
- The Analysis of Harmonic Maps and their Heat Flows
2008/01/01 by Fanghua Lin, Changyou Wang · 4 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Harmonic map #Harmonic #Environmental science #Meteorology #Mechanics #Geography #Geology #Physics #Geometry #Mathematics #Acoustics
- Renormalization and blow up for charge one equivariant critical wave maps
2006/10/07 by J. Krieger, Joachim Krieger, Wilhelm Schlag +3 · 9 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Charge (physics) #Energy (signal processing) #Equivariant map #Ground state #Harmonic map #Nonlinear Partial Differential Equations #Renormalization #Spectral Theory in Mathematical Physics #State (computer science) #Zero (linguistics) #math-ph #math.AP #math.MP #msc:35L05 #msc:35P25 #msc:35Q75
- Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping
2004/08/01 by Xianfeng Gu, Yalin Wang, Tony F. Chan +2 · 2 citations
Engineering · Computer Science · Mathematics · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #Conformal map #Triangulation #Surface (topology) #Mathematics #Zero (linguistics) #Genus #Harmonic map #Topology (electrical circuits) #Algorithm #Computer science #Pure mathematics #Mathematical analysis #Geometry #Combinatorics
- Harmonic Maps, Conservation Laws and Moving Frames
2002/06/13 by Frédéric Hélein · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows #Conservation law #Harmonic #Homogeneous space #Integrable system #Frame (networking) #Coulomb #Harmonic map #Theoretical physics #Presentation (obstetrics) #Mathematics #Classical mechanics #Computer science #Calculus (dental) #Physics #Pure mathematics #Mathematical analysis #Geometry #Quantum mechanics
- Energy identity for a class of approximate harmonic maps from surfaces
1995/01/01 by Weiyue Ding, Gang Tian · 1 citation
Computer Science · Mathematics · #Acoustics #Advanced Mathematical Modeling in Engineering #Algebra over a field #Artificial intelligence #Calculus (dental) #Class (philosophy) #Computer science #Energy (signal processing) #Geometric Analysis and Curvature Flows #Harmonic #Harmonic map #Identity (music) #Mathematical analysis #Mathematics #Numerical methods in inverse problems #Physics #Pure mathematics #Quantum mechanics #Statistics
- Existence and partial regularity results for the heat flow for harmonic maps
1989/03/01 by Yunmei Chen, Michaël Struwe, Michael Struwe · 1 citation
Mathematics · #Acoustics #Flow (mathematics) #Geography #Geometric Analysis and Curvature Flows #Geometry #Harmonic #Harmonic map #Heat flow #Mathematical analysis #Mathematics #Meteorology #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Thermal
- On the evolution of harmonic mappings of Riemannian surfaces
1985/12/01 by Michael Struwe, Michaël Struwe · 3 citations
Mathematics · #Acoustics #Analytic and geometric function theory #Fundamental theorem of Riemannian geometry #Geometric Analysis and Curvature Flows #Geometry #Harmonic #Harmonic map #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Physics #Pure mathematics #Ricci curvature #Riemannian submersion
- Boundary regularity and the Dirichlet problem for harmonic maps
1983/01/01 by Richard Schoen, Karen Uhlenbeck · 2 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Mathematics #Boundary (topology) #Harmonic measure #Dirichlet problem #Dirichlet boundary condition #Harmonic #Mathematical analysis #Dirichlet distribution #Harmonic function #Harmonic map #Boundary value problem #Acoustics #Physics
- Selected topics in harmonic maps expository lectures from the CBMS regional conference held at Tulane Univ., Dec. 15-19, 1980
1983/01/01 by James Eells, Luc Lemaire · 1 citation
Engineering · Mathematics · Medicine · Social Sciences · #Acoustics #Advanced Numerical Analysis Techniques #Bibliography #Calculus (dental) #Computer science #Differential (mechanical device) #Harmonic #Harmonic map #Historical Geography and Cartography #Library science #Mathematical analysis #Mathematics #Medicine #Orthodontics #Physics #Thermodynamics
- A regularity theory for harmonic maps
1982/01/01 by Richard Schoen, Karen Uhlenbeck · 6 citations
Computer Science · Mathematics · #Acoustics #Advanced Mathematical Modeling in Engineering #Algebra over a field #Calculus (dental) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Harmonic #Harmonic map #Mathematics #Orthodontics #Physics #Pure mathematics
- The Complex-Analyticity of Harmonic Maps and the Strong Rigidity of Compact Kahler Manifolds
1980/07/01 by Yum-Tong Siu · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Harmonic map #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Rigidity (electromagnetism)
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature
1976/12/01 by Richard Shoen, Shing Tung Yau · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Combinatorics #Curvature #Curvature of Riemannian manifolds #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Harmonic #Harmonic map #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Negative curvature #Physics #Pure mathematics #Ricci curvature #Ricci flow #Ricci-flat manifold #Scalar curvature #Sectional curvature #Topology (electrical circuits)
- Harmonic Maps of Manifolds with Boundary
1975/01/01 by Richard S. Hamilton · 7 citations
Mathematics · #Acoustics #Boundary (topology) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Harmonic #Harmonic map #Mathematical analysis #Mathematics #Pure mathematics
- On canonical conformal maps of multiply connected domains
1961/01/01 by H. J. Landau · 2 citations
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Boundary (topology) #Conformal map #Domain (mathematical analysis) #Geometry #Harmonic map #Mathematical analysis #Mathematical proof #Mathematics #Measure (data warehouse) #Numerical methods in inverse problems #Pure mathematics #Simply connected space #Uniformization (probability theory)