Found 193 Documents (Results 1–100)
Computational conformal geometric methods for vision. (English) Zbl 07914384
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 1739-1790 (2023).
Strict type-II blowup in harmonic map flow. (English) Zbl 07735835
Reviewer: Abimbola Abolarinwa (Lagos)
A rigidity estimate for maps from \(S^2\) to \(S^2\) via the harmonic map flow. (English) Zbl 1541.53083
Reviewer: Alain Brillard (Riedisheim)
Liouville theorems for ancient solutions to the \(V\)-harmonic map heat flows. (English) Zbl 1518.35169
Short-time existence for harmonic map heat flow with time-dependent metrics. (English) Zbl 1506.53104
Uniqueness and nonuniqueness of limits of Teichmüller harmonic map flow. (English) Zbl 1507.53098
Reviewer: Andreas Gastel (Essen)
Uniqueness and stability of Ricci flow through singularities. (English) Zbl 1504.53104
Reviewer: Emil Saucan (Karmiel)
A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric. (English) Zbl 1474.60173
Infinite time blow-up for half-harmonic map flow from \(\mathbb{R}\) into \(\mathbb{S}^1\). (English) Zbl 1473.35639
Reviewer: Xavier Lamy (Toulouse)
Graphical mean curvature flow. (English) Zbl 1476.53015
Rassias, Themistocles M. (ed.), Nonlinear analysis, differential equations, and applications. Cham: Springer. Springer Optim. Appl. 173, 493-577 (2021).
Existence of harmonic maps with two-form and scalar potentials. (English) Zbl 1469.58008
Reviewer: Adrian Muntean (Karlstad)
Short-time existence of the \(\alpha\)-Dirac-harmonic map flow and applications. (English) Zbl 1468.53059
Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target. (English) Zbl 1479.53073
Reviewer: Ye-Lin Ou (Commerce)
Asymptotic behavior of the initial-boundary value problem of Landau-Lifshitz-Schrödinger type. (English) Zbl 1461.35056
Global existence of Landau-Lifshitz-Gilbert equation and self-similar blowup of harmonic map heat flow on \(\mathbb{S}^2\). (English) Zbl 1456.35067
Finite-time degeneration for variants of Teichmüller harmonic map flow. (English) Zbl 1459.53015
Reviewer: Atsushi Fujioka (Osaka)
Normalized harmonic map heat flow. (English) Zbl 1445.58008
Reviewer: Adnane Elmrabty (Guelmim)
MSC:
58E20
Transition of blow-up mechanisms in \(k\)-equivariant harmonic map heat flow. (English) Zbl 1448.35286
Singularity formation for the two-dimensional harmonic map flow into \(S^2\). (English) Zbl 1445.35082
Reviewer: Guangwen Zhao (Wuhan)
Type II blow-up mechanism for supercritical harmonic map heat flow. (English) Zbl 1427.35100
Reviewer: Dian K. Palagachev (Bari)
Blow-up for the 3-dimensional axially symmetric harmonic map flow into \(S^2\). (English) Zbl 1425.35107
Global existence of the harmonic map heat flow into Lorentzian manifolds. (English. French summary) Zbl 1431.53067
Reviewer: Mehmet Akif Akyol (Bingöl)
Remarks on weakly stationary maps into spheres characterized by wedge product. (English) Zbl 1436.58014
Reviewer: Bruno Simoes (Lisboa)
Heat ball formulæ for \(k\)-forms on evolving manifolds. (English) Zbl 1415.58016
Reviewer: Zdzisław Dzedzej (Gdansk)
Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem. (English) Zbl 1417.58010
Reviewer: Gabjin Yun (Yongin)
Global existence and partial regularity for the \(p\)-harmonic flow. (English) Zbl 1489.58007
Reviewer: Vladimir Balan (Bucureşti)
Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary. (English) Zbl 1416.53060
Reviewer: Bruno Simoes (Lisboa)
Lorentzian harmonic map and its heat flow. (Chinese. English summary) Zbl 1499.53291
Energy identities and monotonicity for evolving \(k\)-forms on moving Riemannian spaces. (English) Zbl 1394.35224
Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow. (English) Zbl 1395.58018
MSC:
58E20
Finite time blowup of the \(n\)-harmonic flow on \(n\)-manifolds. (English) Zbl 1390.58010
Reviewer: Gabjin Yun (Yongin)
Regularity for the evolution of \(p\)-harmonic maps. (English) Zbl 1400.35173
Reviewer: Andrey Zahariev (Plovdiv)
On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick. (English) Zbl 1433.65219
Bubbling blow-up in critical parabolic problems. (English) Zbl 1492.35149
Bonforte, Matteo (ed.) et al., Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4–8, 2016. Lecture notes given at the course. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2186, 73-116 (2017).
Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds. (English) Zbl 1384.58014
Reviewer: Gabjin Yun (Yongin)
On uniqueness for the harmonic map heat flow in supercritical dimensions. (English) Zbl 1391.58004
Reviewer: Dian K. Palagachev (Bari)
Inf-sup stable finite element methods for the Landau-Lifshitz-Gilbert and harmonic map heat flow equations. (English) Zbl 1403.65070
Heat kernel estimates under the Ricci-harmonic map flow. (English) Zbl 1384.53060
Reviewer: Ruxandra Stavre (Bucureşti)
Smooth long-time existence of Harmonic Ricci Flow on surfaces. (English) Zbl 1375.53082
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Teichmüller harmonic map flow from cylinders. (English) Zbl 1451.53017
Reviewer: Shu-Yu Hsu (Chiayi)
From the Q-tensor flow for the liquid crystal to the harmonic map flow. (English) Zbl 1372.76012
Reviewer: Gheorghe Moroşanu (Budapest)
Weak solutions of geometric flows associated to integro-differential harmonic maps. (English) Zbl 1372.35326
Refined asymptotics of the Teichmüller harmonic map flow into general targets. (English) Zbl 1355.53059
Effective equidistribution of twisted horocycle flows and horocycle maps. (English) Zbl 1369.37004
Reviewer: Jayadev Athreya (Seattle)
The heat flow for the full bosonic string. (English) Zbl 1364.58008
Ann. Global Anal. Geom. 50, No. 4, 347-365 (2016); correction ibid. 53, No. 2, 283-286 (2018).
Reviewer: Gabjin Yun (Yongin)
Rigidity of self-shrinkers and translating solitons of mean curvature flows. (English) Zbl 1336.53074
Projection-free approximation of geometrically constrained partial differential equations. (English) Zbl 1332.65161
On the finite time blow-up of biharmonic map flow in dimension four. (English) Zbl 1415.58010
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Differential Harnack and logarithmic Sobolev inequalities along Ricci-harmonic map flow. (English) Zbl 1333.53102
Reviewer: Gabjin Yun (Yongin)
A counterexample to finite time stopping property for one-harmonic map flow. (English) Zbl 1321.35109
An \(L^{p}\) regularity theory for harmonic maps. (English) Zbl 1314.58015
Reviewer: Vladimir Balan (Bucureşti)
Results on coupled Ricci and harmonic map flows. (English) Zbl 1310.53043
MSC:
53C25
53C44
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow. (English) Zbl 1327.35196
Reviewer: Andreas Gastel (Essen)
Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications. (English) Zbl 1308.58008
Reviewer: Igor G. Nikolaev (Urbana)
A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric. (English) Zbl 1297.53044
MSC:
53C44
58J65
Some results on harmonic maps. (English) Zbl 1303.58006
Reviewer: Andreas Gastel (Essen)
Regularity and uniqueness of a class of biharmonic map heat flows. (English) Zbl 1298.35053
Reviewer: Stephan Fackler (Ulm)
Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows. (English) Zbl 1303.58005
Reviewer: Andreas Gastel (Essen)
MSC:
58E20
53C44
Uniformity of harmonic map heat flow at infinite time. (English) Zbl 1294.53062
MSC:
53C44
58E20
Canonical solitons associated with generalized Ricci flows. (English) Zbl 1295.53037
Reviewer: Hamid Reza Salimi Moghaddam (Isfahan)
MSC:
53C25
53C44
A numerical study of blowup in the harmonic map heat flow using the MMPDE moving mesh method. (English) Zbl 1289.65178
On characterization of inextensible flows of tangent developable surfaces of timelike biharmonic general helices in the Lorentzian \(\mathbb E(1, 1)\). (English) Zbl 1284.53064
MSC:
53C44
53A10
(In-)stability of singular equivariant solutions to the Landau-Lifshitz-Gilbert equation. (English) Zbl 1293.35059
On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature. (English) Zbl 1304.32024
Reviewer: Andreas Cap (Wien)
Some topics on Dirac-harmonic maps and the Yang-Mills flow. (English) Zbl 1272.53001
Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). viii, 92 p. (2013).
Some blowup solutions about two systems derived from Landau-Lifshitz-Gilbert equation. (English) Zbl 1281.78008
Reviewer: Aleksander Pankov (Baltimore)
Heat flows of subelliptic harmonic maps into Riemannian manifolds with nonpositive curvatures. (English) Zbl 1268.58017
Reviewer: Anestis Fotiadis (Thessaloniki)
Harmonic map heat flow with rough boundary data. (English) Zbl 1281.58011
Reviewer: Gábor Tóth (Camden)
A construction of conformal-harmonic maps. (English. French summary) Zbl 1267.58011
Reviewer: Andreas Gastel (Essen)
Geometric rigidity of \(\times m\) invariant measures. (English) Zbl 1253.37007
J. Eur. Math. Soc. (JEMS) 14, No. 5, 1539-1563 (2012); erratum ibid. 15, No. 6, 2463-2464 (2013).
Reviewer: Thomas B. Ward (Durham)
Geometric renormalization below the ground state. (English) Zbl 1266.58009
Reviewer: Jean-Marc Bouclet (Toulouse)
MSC:
58J35
Recent development of computational conformal geometry. (English) Zbl 1247.53017
Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 2. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7587-2/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.2, 515-560 (2012).
Reviewer: Hans-Peter Schröcker (Innsbruck)
Gradient and oscillation estimates and their applications in geometric PDE. (English) Zbl 1254.35033
Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7586-5/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.1, 3-19 (2012).
Reviewer: Shu-Yu Hsu (Min-hsiung)
Ricci flow coupled with harmonic map flow. (Flot de Ricci couplé avec le flot harmonique.) (English. French summary) Zbl 1247.53082
Reviewer: Andreas Gastel (Duisburg)
The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data. (English) Zbl 1255.68195
Reverse bubbling in geometric flows. (English) Zbl 1270.35006
Bray, Hubert (ed.) et al., Surveys in geometric analysis and relativity. Dedicated to Richard Schoen in honor of his 60th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-230-5/pbk). Advanced Lectures in Mathematics (ALM) 20, 491-508 (2011).
Reviewer: Kungching Chang (Beijing)
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