Found 122 Documents (Results 1–100)
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 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
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)
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
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
Type II blow-up mechanism for supercritical harmonic map heat flow. (English) Zbl 1427.35100
Reviewer: Dian K. Palagachev (Bari)
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)
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
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)
Weak solutions of geometric flows associated to integro-differential harmonic maps. (English) Zbl 1372.35326
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)
Projection-free approximation of geometrically constrained partial differential equations. (English) Zbl 1332.65161
Differential Harnack and logarithmic Sobolev inequalities along Ricci-harmonic map flow. (English) Zbl 1333.53102
Reviewer: Gabjin Yun (Yongin)
An \(L^{p}\) regularity theory for harmonic maps. (English) Zbl 1314.58015
Reviewer: Vladimir Balan (Bucureşti)
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow. (English) Zbl 1327.35196
Reviewer: Andreas Gastel (Essen)
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)
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
(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 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)
Geometric renormalization below the ground state. (English) Zbl 1266.58009
Reviewer: Jean-Marc Bouclet (Toulouse)
MSC:
58J35
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)
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)
Minimal surfaces and mean curvature flow. (English) Zbl 1261.53006
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, 73-143 (2011).
Reviewer: Isabel Salavessa (Lisboa)
Stability of hyperbolic space under Ricci flow. (English) Zbl 1244.53079
MSC:
53C44
Selfsimilar expanders of the harmonic map flow. (English) Zbl 1246.35059
Reviewer: Shu-Yu Hsu (Min-hsiung)
An energy density estimate of heat equation for harmonic map. (English) Zbl 1237.58016
Reviewer: Andreas Gastel (Duisburg)
The fractional Landau-Lifshitz-Gilbert equation and the heat flow of harmonic maps. (English) Zbl 1229.35284
Reviewer: Thomas Ernst (Uppsala)
Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. (English) Zbl 1203.65174
Reviewer: Pavel Burda (Praha)
Rigidity of the harmonic map heat flow from the sphere to compact Kähler manifolds. (English) Zbl 1191.53028
Reviewer: Isabel Salavessa (Lisboa)
Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. (English) Zbl 1187.82130
A uniqueness result on the solution for a Landau-Lifshitz system with penalization. (English) Zbl 1149.35310
Stability of Euclidean space under Ricci flow. (English) Zbl 1147.53055
MSC:
53C44
53C21
Global questions for map evolution equations. (English) Zbl 1146.35083
Alama, Stanley (ed.) et al., Singularities in PDE and the calculus of variations. Selected papers of the CRM workshop, Montreal, Canada, July 17– 21, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4350-5/pbk). CRM Proceedings and Lecture Notes 44, 61-74 (2008).
Riemannian geometry and geometric analysis. 5th ed. (English) Zbl 1143.53001
Universitext. Berlin: Springer (ISBN 978-3-540-77340-5/pbk). xiii, 583 p. (2008).
Reviewer: Gheorghe Pitiş (Braşov)
Heat flow of biharmonic maps in dimension four and its application. (English) Zbl 1152.58012
Reviewer: Aleksander Pankov (Baltimore)
MSC:
58E20
Geometric evolution equations in critical dimensions. (English) Zbl 1127.58003
Reviewer: Andreas Gastel (Erlangen)
On the heat flow of \(f\)-harmonic maps from \(D^{2}\) into \(S^{2}\). (English) Zbl 1121.58016
Reviewer: Vicenţiu D. Rădulescu (Craiova)
The extrinsic polyharmonic map heat flow in the critical dimension. (English) Zbl 1136.58010
Reviewer: Cornelia-Livia Bejan (Iaşi)
Heat kernels in geometric evolution equations. (English) Zbl 1121.53044
Jorgenson, Jay (ed.) et al., The ubiquitous heat kernel. AMS special session, Boulder, CO, USA, October 2–4, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3698-6/pbk). Contemporary Mathematics 398, 193-201 (2006).
Heat flow for horizontal harmonic maps into a class of Carnot-Carathéodory spaces. (English) Zbl 1089.58008
Reviewer: Gábor Tóth (Camden)
Blow-up phenomena for a singular parabolic problem. (English) Zbl 1073.35121
Reviewer: Lubomira Softova (Bari)
Biharmonic map heat flow into manifolds of nonpositive curvature. (English) Zbl 1070.58017
Reviewer: Andreas Gastel (Düsseldorf)
Reverse bubbling of currents and harmonic heat flows with prescribed singular set. (English) Zbl 1059.58010
Reviewer: Neculai Papaghiuc (Iaşi)
Gauss maps of the mean curvature flow. (English) Zbl 1068.53047
Reviewer: Pascual Lucas Saorín (Murcia)
MSC:
53C44
Partial regularity for weak heat flows into a general compact Riemannian manifold. (English) Zbl 1036.58012
Reviewer: Andreas Gastel (Düsseldorf)
A remark on the finite time singularity of the heat flow for harmonic maps. (English) Zbl 1027.58015
Reviewer: Vicenţiu D.Rădulescu (Craiova)
Heat flows of harmonic maps with potential into manifolds with nonpositive curvature. (English) Zbl 1035.58013
Reviewer: Andreas Gastel (Düsseldorf)
Point singularities and nonuniqueness for the heat flow for harmonic maps. (English) Zbl 1029.58008
Reviewer: Serghey G.Suvorov (Donetsk)
Singularities of first kind in the harmonic map and Yang-Mills heat flows. (English) Zbl 1060.53071
Reviewer: Christian Günther (Libby)
A remark on the quasi-harmonic spheres. (English) Zbl 1010.58014
Reviewer: Andreas Gastel (Düsseldorf)
Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows. (English) Zbl 1042.58006
Reviewer: Shen Yi-Bing (Hangzhou)
Nonlinear Markov operators, discrete heat flow, and harmonic maps between singular spaces. (English) Zbl 1049.31010
Reviewer: Wolfhard Hansen (Bielefeld)
The \(p\)-harmonic heat flow with potential into homogeneous spaces. (English) Zbl 1016.58002
Reviewer: Andreas Gastel (Düsseldorf)
Boundary regularity for weak heat flows. (English) Zbl 1003.58013
Reviewer: Andreas Gastel (Düsseldorf)
Reverse bubbling and nonuniqueness in the harmonic map flow. (English) Zbl 1003.58014
Reviewer: Vladimir Balan (Bucureşti)
MSC:
58E20
80A20
Inhomogeneous Landau-Lifshits systems from Riemann surfaces into \(S^2\). (English. Chinese original) Zbl 1007.53064
Chin. J. Contemp. Math. 22, No. 3, 215-230 (2001); translation from Chin. Ann. Math., Ser. A 22, No. 4, 403-414 (2001).
Reviewer: Chang Shucheng (MR 2002h:53120)
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