Wettstein, Jerome D. Half-harmonic gradient flow: aspects of a non-local geometric PDE. (English) Zbl 07817693 Math. Eng. (Springfield) 5, No. 3, Paper No. 58, 38 p. (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{J. D. Wettstein}, Math. Eng. (Springfield) 5, No. 3, Paper No. 58, 38 p. (2023; Zbl 07817693) Full Text: DOI arXiv
Jendrej, Jacek; Lawrie, Andrew Bubble decomposition for the harmonic map heat flow in the equivariant case. (English) Zbl 1527.35070 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 264, 36 p. (2023). MSC: 35B40 35B44 35K15 35K58 37K40 53C43 PDFBibTeX XMLCite \textit{J. Jendrej} and \textit{A. Lawrie}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 264, 36 p. (2023; Zbl 1527.35070) Full Text: DOI arXiv OA License
Park, Woongbae A new conformal heat flow of harmonic maps. (English) Zbl 07754895 J. Geom. Anal. 33, No. 12, Paper No. 376, 36 p. (2023). Reviewer: Ion Mihai (Bucureşti) MSC: 58E20 53E99 53C43 35K58 PDFBibTeX XMLCite \textit{W. Park}, J. Geom. Anal. 33, No. 12, Paper No. 376, 36 p. (2023; Zbl 07754895) Full Text: DOI arXiv
Waldron, Alex Strict type-II blowup in harmonic map flow. (English) Zbl 07735835 Proc. Am. Math. Soc. 151, No. 11, 4893-4907 (2023). MSC: 53E99 53C43 PDFBibTeX XMLCite \textit{A. Waldron}, Proc. Am. Math. Soc. 151, No. 11, 4893--4907 (2023; Zbl 07735835) Full Text: DOI arXiv
Chen, Zhengmao; Wu, Fan Blow-up criteria of the simplified Ericksen-Leslie system. (English) Zbl 1515.35206 Bound. Value Probl. 2023, Paper No. 41, 13 p. (2023). MSC: 35Q35 35B44 76D03 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{F. Wu}, Bound. Value Probl. 2023, Paper No. 41, 13 p. (2023; Zbl 1515.35206) Full Text: DOI
Huang, Tao; Wang, Peiyong On singularities of Ericksen-Leslie system in dimension three. (English) Zbl 1509.35003 Proc. Am. Math. Soc. 151, No. 4, 1579-1592 (2023). MSC: 35A21 35Q35 78A15 PDFBibTeX XMLCite \textit{T. Huang} and \textit{P. Wang}, Proc. Am. Math. Soc. 151, No. 4, 1579--1592 (2023; Zbl 1509.35003) Full Text: DOI arXiv
Zhang, Pan Gradient flows of higher order Yang-Mills-Higgs functionals. (English) Zbl 1504.58010 J. Aust. Math. Soc. 113, No. 2, 257-287 (2022). MSC: 58E15 81T13 PDFBibTeX XMLCite \textit{P. Zhang}, J. Aust. Math. Soc. 113, No. 2, 257--287 (2022; Zbl 1504.58010) Full Text: DOI arXiv
Gui, Yao Ting Nonexistence of the quasi-harmonic spheres and harmonic spheres into certain manifold. (English) Zbl 1500.58007 Acta Math. Sin., Engl. Ser. 38, No. 7, 1271-1276 (2022). Reviewer: Radu Precup (Cluj-Napoca) MSC: 58E20 31E05 PDFBibTeX XMLCite \textit{Y. T. Gui}, Acta Math. Sin., Engl. Ser. 38, No. 7, 1271--1276 (2022; Zbl 1500.58007) Full Text: DOI
Palmurella, Francesco; Rivière, Tristan The parametric approach to the Willmore flow. (English) Zbl 1503.53168 Adv. Math. 400, Article ID 108257, 48 p. (2022). Reviewer: Marek Galewski (Łódź) MSC: 53E10 53A05 58E15 35J35 35J48 35K41 35K91 53D50 PDFBibTeX XMLCite \textit{F. Palmurella} and \textit{T. Rivière}, Adv. Math. 400, Article ID 108257, 48 p. (2022; Zbl 1503.53168) Full Text: DOI arXiv
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck \(\alpha \)-harmonic maps. (English) Zbl 1492.53085 Adv. Math. 396, Article ID 108105, 68 p. (2022). Reviewer: Bruno Simoes (Lisboa) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Adv. Math. 396, Article ID 108105, 68 p. (2022; Zbl 1492.53085) Full Text: DOI
Zhong, Xin A remark on global strong solution of two-dimensional inhomogeneous nematic liquid crystal flows in a bounded domain. (English) Zbl 1523.76007 Math. Nachr. 294, No. 7, 1428-1443 (2021). MSC: 76A15 35Q35 PDFBibTeX XMLCite \textit{X. Zhong}, Math. Nachr. 294, No. 7, 1428--1443 (2021; Zbl 1523.76007) Full Text: DOI
Nam, Kihun Locally Lipschitz BSDE driven by a continuous martingale a path-derivative approach. (English) Zbl 1480.60168 Stochastic Processes Appl. 141, 376-411 (2021). MSC: 60H10 60H07 93E20 PDFBibTeX XMLCite \textit{K. Nam}, Stochastic Processes Appl. 141, 376--411 (2021; Zbl 1480.60168) Full Text: DOI arXiv
Afuni, Ahmad Local regularity for the harmonic map and Yang-Mills heat flows. (English) Zbl 1472.35075 J. Geom. Anal. 31, No. 10, 9677-9707 (2021). MSC: 35B65 35K55 53C07 53C43 58E20 58J35 PDFBibTeX XMLCite \textit{A. Afuni}, J. Geom. Anal. 31, No. 10, 9677--9707 (2021; Zbl 1472.35075) Full Text: DOI
Liu, Xiangao; Liu, Zixuan; Wang, Kui Interior estimates of harmonic heat flow. (English) Zbl 1468.35030 Int. J. Math. 32, No. 7, Article ID 2150039, 14 p. (2021). MSC: 35B65 35B45 35K58 35R01 58J35 PDFBibTeX XMLCite \textit{X. Liu} et al., Int. J. Math. 32, No. 7, Article ID 2150039, 14 p. (2021; Zbl 1468.35030) Full Text: DOI
Liu, Lei; Zhu, Miaomiao Boundary value problems for Dirac-harmonic maps and their heat flows. (English) Zbl 1472.53080 Vietnam J. Math. 49, No. 2, 577-596 (2021). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{L. Liu} and \textit{M. Zhu}, Vietnam J. Math. 49, No. 2, 577--596 (2021; Zbl 1472.53080) Full Text: DOI
Kim, Soojung; Pan, Xing-Bin Long time behavior and field-induced instabilities of smectic liquid crystals. (English) Zbl 1467.82095 J. Funct. Anal. 281, No. 3, Article ID 109036, 40 p. (2021). MSC: 82D30 76A15 78A30 35B40 35D30 35B35 35Q35 PDFBibTeX XMLCite \textit{S. Kim} and \textit{X.-B. Pan}, J. Funct. Anal. 281, No. 3, Article ID 109036, 40 p. (2021; Zbl 1467.82095) Full Text: DOI
Mahmood, Tariq; Shang, Zhaoyang Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space. (English) Zbl 1484.35322 AIMS Math. 5, No. 2, 746-765 (2020). MSC: 35Q35 35B44 35B65 76A15 PDFBibTeX XMLCite \textit{T. Mahmood} and \textit{Z. Shang}, AIMS Math. 5, No. 2, 746--765 (2020; Zbl 1484.35322) Full Text: DOI
Zhong, Penghong; Yang, Ganshan; Ma, Xuan Global existence of Landau-Lifshitz-Gilbert equation and self-similar blowup of harmonic map heat flow on \(\mathbb{S}^2\). (English) Zbl 1456.35067 Math. Comput. Simul. 174, 1-18 (2020). MSC: 35C06 35B44 58E20 53C43 PDFBibTeX XMLCite \textit{P. Zhong} et al., Math. Comput. Simul. 174, 1--18 (2020; Zbl 1456.35067) Full Text: DOI
Zhai, Xiaoping; Yin, Zhaoyang On some large global solutions to the incompressible inhomogeneous nematic liquid crystal flows. (English) Zbl 1437.35594 Appl. Anal. 99, No. 6, 959-975 (2020). MSC: 35Q35 35B65 76A15 35A01 PDFBibTeX XMLCite \textit{X. Zhai} and \textit{Z. Yin}, Appl. Anal. 99, No. 6, 959--975 (2020; Zbl 1437.35594) Full Text: DOI
Branding, Volker On the evolution of regularized Dirac-harmonic maps from closed surfaces. (English) Zbl 1436.53030 Result. Math. 75, No. 2, Paper No. 57, 30 p. (2020). Reviewer: Georges Habib (Fanar) MSC: 53C27 53C43 58E20 58J35 PDFBibTeX XMLCite \textit{V. Branding}, Result. Math. 75, No. 2, Paper No. 57, 30 p. (2020; Zbl 1436.53030) Full Text: DOI arXiv
Dávila, Juan; del Pino, Manuel; Wei, Juncheng Singularity formation for the two-dimensional harmonic map flow into \(S^2\). (English) Zbl 1445.35082 Invent. Math. 219, No. 2, 345-466 (2020). Reviewer: Guangwen Zhao (Wuhan) MSC: 35B44 53E30 35K20 35K58 PDFBibTeX XMLCite \textit{J. Dávila} et al., Invent. Math. 219, No. 2, 345--466 (2020; Zbl 1445.35082) Full Text: DOI arXiv
Luo, Chunmei; Zhang, Hui; Zhang, Zhengru Motion of singularities in the heat flow of harmonic maps into a sphere. (English) Zbl 1468.65099 East Asian J. Appl. Math. 9, No. 3, 580-600 (2019). MSC: 65M06 76A15 80A19 PDFBibTeX XMLCite \textit{C. Luo} et al., East Asian J. Appl. Math. 9, No. 3, 580--600 (2019; Zbl 1468.65099) Full Text: DOI
Han, Xiaoli; Jost, Jürgen; Liu, Lei; Zhao, Liang Global existence of the harmonic map heat flow into Lorentzian manifolds. (English. French summary) Zbl 1431.53067 J. Math. Pures Appl. (9) 130, 130-156 (2019). Reviewer: Mehmet Akif Akyol (Bingöl) MSC: 53C43 53C50 58E20 PDFBibTeX XMLCite \textit{X. Han} et al., J. Math. Pures Appl. (9) 130, 130--156 (2019; Zbl 1431.53067) Full Text: DOI arXiv
Hocquet, Antoine Finite-time singularity of the stochastic harmonic map flow. (English. French summary) Zbl 1427.60124 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1011-1041 (2019). MSC: 60H15 35R60 58E20 35K55 35B44 PDFBibTeX XMLCite \textit{A. Hocquet}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1011--1041 (2019; Zbl 1427.60124) Full Text: DOI arXiv Euclid
Waldron, Alex Long-time existence for Yang-Mills flow. (English) Zbl 1507.53096 Invent. Math. 217, No. 3, 1069-1147 (2019). MSC: 53E20 53C07 PDFBibTeX XMLCite \textit{A. Waldron}, Invent. Math. 217, No. 3, 1069--1147 (2019; Zbl 1507.53096) Full Text: DOI arXiv
Ebmeyer, Carsten; Urbano, José Miguel; Vogelgesang, Jens Nash equilibria in \(N\)-person games with super-quadratic Hamiltonians. (English) Zbl 1461.35122 J. Lond. Math. Soc., II. Ser. 99, No. 3, 609-628 (2019). MSC: 35K51 35K55 35F21 35B65 49L12 91A06 91A15 93E03 PDFBibTeX XMLCite \textit{C. Ebmeyer} et al., J. Lond. Math. Soc., II. Ser. 99, No. 3, 609--628 (2019; Zbl 1461.35122) Full Text: DOI
Melcher, Christof; Sakellaris, Zisis N. Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces. (English) Zbl 1414.35259 Commun. Partial Differ. Equations 44, No. 5, 397-415 (2019). MSC: 35R11 35D35 35B40 PDFBibTeX XMLCite \textit{C. Melcher} and \textit{Z. N. Sakellaris}, Commun. Partial Differ. Equations 44, No. 5, 397--415 (2019; Zbl 1414.35259) Full Text: DOI arXiv
Du, Shi-Zhong Energy non-collapsing and refined blowup for a semilinear heat equation. (English) Zbl 1408.35077 J. Differ. Equations 266, No. 9, 5942-5970 (2019); corrigendum ibid. 267, No. 10, 6118-6123 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35D30 35B65 PDFBibTeX XMLCite \textit{S.-Z. Du}, J. Differ. Equations 266, No. 9, 5942--5970 (2019; Zbl 1408.35077) Full Text: DOI arXiv
Misawa, Masashi Global existence and partial regularity for the \(p\)-harmonic flow. (English) Zbl 1489.58007 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 54, 66 p. (2019). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 35B45 35B65 35D30 35J47 35K40 35K59 35K65 PDFBibTeX XMLCite \textit{M. Misawa}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 54, 66 p. (2019; Zbl 1489.58007) Full Text: DOI
Li, Ze; Zhao, Lifeng Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spaces. (English) Zbl 1405.58008 Discrete Contin. Dyn. Syst. 39, No. 1, 607-638 (2019). MSC: 58J35 35K59 PDFBibTeX XMLCite \textit{Z. Li} and \textit{L. Zhao}, Discrete Contin. Dyn. Syst. 39, No. 1, 607--638 (2019; Zbl 1405.58008) Full Text: DOI arXiv
Ghoul, Tej-eddine; Ibrahim, Slim; Nguyen, Van Tien On the stability of type II blowup for the 1-corotational energy-supercritical harmonic heat flow. (English) Zbl 1397.35129 Anal. PDE 12, No. 1, 113-187 (2019). MSC: 35K55 35B40 35B44 35K57 PDFBibTeX XMLCite \textit{T.-e. Ghoul} et al., Anal. PDE 12, No. 1, 113--187 (2019; Zbl 1397.35129) Full Text: DOI arXiv
Wei, Ruiying; Li, Yin; Yao, Zheng’an Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system. (English) Zbl 1402.35230 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 10, 1499-1528 (2018). MSC: 35Q35 35D30 76D05 PDFBibTeX XMLCite \textit{R. Wei} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 10, 1499--1528 (2018; Zbl 1402.35230) Full Text: DOI
Misawa, Masashi Local regularity and compactness for the \(p\)-harmonic map heat flows. (English) Zbl 1395.35062 Adv. Calc. Var. 11, No. 3, 223-255 (2018). MSC: 35B65 35B45 35D30 35K59 35K65 PDFBibTeX XMLCite \textit{M. Misawa}, Adv. Calc. Var. 11, No. 3, 223--255 (2018; Zbl 1395.35062) Full Text: DOI
Xing, Hao; Žitković, Gordan A class of globally solvable Markovian quadratic BSDE systems and applications. (English) Zbl 1390.60224 Ann. Probab. 46, No. 1, 491-550 (2018). Reviewer: Nikolaos Halidias (Athens) MSC: 60H10 60G44 60H30 58J65 91A15 91B51 PDFBibTeX XMLCite \textit{H. Xing} and \textit{G. Žitković}, Ann. Probab. 46, No. 1, 491--550 (2018; Zbl 1390.60224) Full Text: DOI arXiv
Cheung, Leslie Hon-Nam; Hong, Min-Chun Finite time blowup of the \(n\)-harmonic flow on \(n\)-manifolds. (English) Zbl 1390.58010 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 9, 24 p. (2018). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{L. H. N. Cheung} and \textit{M.-C. Hong}, Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 9, 24 p. (2018; Zbl 1390.58010) Full Text: DOI arXiv
Benešová, Barbora; Forster, Johannes; Liu, Chun; Schlömerkemper, Anja Existence of weak solutions to an evolutionary model for magnetoelasticity. (English) Zbl 1390.74059 SIAM J. Math. Anal. 50, No. 1, 1200-1236 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 74F15 35A01 35Q35 35Q74 PDFBibTeX XMLCite \textit{B. Benešová} et al., SIAM J. Math. Anal. 50, No. 1, 1200--1236 (2018; Zbl 1390.74059) Full Text: DOI arXiv
Liu, Qiao A logarithmical blow-up criterion for the 3D nematic liquid crystal flows. (English) Zbl 1387.76007 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 29-47 (2018). MSC: 76A15 35B44 35B65 35Q35 PDFBibTeX XMLCite \textit{Q. Liu}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 29--47 (2018; Zbl 1387.76007) Full Text: DOI
Liu, Qiao; Wang, Pei The 3D nematic liquid crystal equations with blow-up criteria in terms of pressure. (English) Zbl 1382.35230 Nonlinear Anal., Real World Appl. 40, 290-306 (2018). MSC: 35Q35 76A15 35B65 35B44 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{P. Wang}, Nonlinear Anal., Real World Appl. 40, 290--306 (2018; Zbl 1382.35230) Full Text: DOI
Yuan, Baoquan; Wei, Chengzhou BKM’s criterion for the 3D nematic liquid crystal flows in Besov spaces of negative regular index. (English) Zbl 1412.35274 J. Nonlinear Sci. Appl. 10, No. 6, 3030-3037 (2017). MSC: 35Q35 35B65 PDFBibTeX XMLCite \textit{B. Yuan} and \textit{C. Wei}, J. Nonlinear Sci. Appl. 10, No. 6, 3030--3037 (2017; Zbl 1412.35274) Full Text: DOI
del Pino, Manuel 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). MSC: 35K55 35B33 35B44 PDFBibTeX XMLCite \textit{M. del Pino}, Lect. Notes Math. 2186, 73--116 (2017; Zbl 1492.35149) Full Text: DOI
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit Stable self-similar blowup in the supercritical heat flow of harmonic maps. (English) Zbl 1381.58006 Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 171, 31 p. (2017). MSC: 58E20 53C44 35B44 35B35 PDFBibTeX XMLCite \textit{P. Biernat} et al., Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 171, 31 p. (2017; Zbl 1381.58006) Full Text: DOI arXiv
Li, Lin; Liu, Qiao; Zhong, Xin Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum. (English) Zbl 1386.76016 Nonlinearity 30, No. 11, 4062-4088 (2017). MSC: 76A15 35B65 35Q35 PDFBibTeX XMLCite \textit{L. Li} et al., Nonlinearity 30, No. 11, 4062--4088 (2017; Zbl 1386.76016) Full Text: DOI arXiv
Chen, Yuan; Yu, Yong Global \(m\)-equivariant solutions of nematic liquid crystal flows in dimension two. (English) Zbl 1373.35236 Arch. Ration. Mech. Anal. 226, No. 2, 767-808 (2017). MSC: 35Q35 76A15 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Y. Yu}, Arch. Ration. Mech. Anal. 226, No. 2, 767--808 (2017; Zbl 1373.35236) Full Text: DOI
Chiang, Yuan-Jen Equivariant exponentially harmonic maps between manifolds with metrics of signatures. (English) Zbl 1380.58010 Asian-Eur. J. Math. 10, No. 3, Article ID 1750060, 16 p. (2017). Reviewer: Ye-Lin Ou (Commerce) MSC: 58E20 PDFBibTeX XMLCite \textit{Y.-J. Chiang}, Asian-Eur. J. Math. 10, No. 3, Article ID 1750060, 16 p. (2017; Zbl 1380.58010) Full Text: DOI
Li, Ze; Zhao, Lifeng Asymptotic behaviors of Landau-Lifshitz flows from \(\mathbb {R}^2\) to Kähler manifolds. (English) Zbl 1375.35045 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 96, 35 p. (2017). Reviewer: Eric Stachura (Haverford) MSC: 35B40 35Q82 58J35 58E50 PDFBibTeX XMLCite \textit{Z. Li} and \textit{L. Zhao}, Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 96, 35 p. (2017; Zbl 1375.35045) Full Text: DOI arXiv
Liu, Qiao; Wei, Yemei Blow up criteria for the incompressible nematic liquid crystal flows. (English) Zbl 1365.76013 Acta Appl. Math. 147, No. 1, 63-80 (2017). MSC: 76A15 35Q35 76W05 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{Y. Wei}, Acta Appl. Math. 147, No. 1, 63--80 (2017; Zbl 1365.76013) Full Text: DOI
Liu, Shengquan; Wang, Shujuan A blow-up criterion for 2D compressible nematic liquid crystal flows in terms of density. (English) Zbl 1365.76341 Acta Appl. Math. 147, No. 1, 39-62 (2017). MSC: 76W05 76N10 35B45 PDFBibTeX XMLCite \textit{S. Liu} and \textit{S. Wang}, Acta Appl. Math. 147, No. 1, 39--62 (2017; Zbl 1365.76341) Full Text: DOI
Li, Xiaoli Global strong solution for the incompressible flow of liquid crystals with vacuum in dimension two. (English) Zbl 1364.35242 Discrete Contin. Dyn. Syst. 37, No. 9, 4907-4922 (2017). MSC: 35Q30 35A01 35A02 76D10 76D03 PDFBibTeX XMLCite \textit{X. Li}, Discrete Contin. Dyn. Syst. 37, No. 9, 4907--4922 (2017; Zbl 1364.35242) Full Text: DOI
Zhai, Xiaoping; Li, Yongsheng; Yan, Wei Global solution to the 3-D density-dependent incompressible flow of liquid crystals. (English) Zbl 1367.35136 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 249-274 (2017). MSC: 35Q35 76A15 PDFBibTeX XMLCite \textit{X. Zhai} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 249--274 (2017; Zbl 1367.35136) Full Text: DOI
Song, Chong; Wang, Changyou Heat flow of Yang-Mills-Higgs functionals in dimension two. (English) Zbl 1377.58008 J. Funct. Anal. 272, No. 11, 4709-4751 (2017). Reviewer: Andreas Gastel (Essen) MSC: 58E15 35Q40 PDFBibTeX XMLCite \textit{C. Song} and \textit{C. Wang}, J. Funct. Anal. 272, No. 11, 4709--4751 (2017; Zbl 1377.58008) Full Text: DOI arXiv
Qian, Chenyin A further note on the regularity criterion for the 3D nematic liquid crystal flows. (English) Zbl 1410.82037 Appl. Math. Comput. 290, 258-266 (2016). MSC: 82D30 PDFBibTeX XMLCite \textit{C. Qian}, Appl. Math. Comput. 290, 258--266 (2016; Zbl 1410.82037) Full Text: DOI
Qian, Chenyin Remarks on the regularity criterion for the nematic liquid crystal flows in \(\mathbb{R}^3\). (English) Zbl 1410.82036 Appl. Math. Comput. 274, 679-689 (2016). MSC: 82D30 PDFBibTeX XMLCite \textit{C. Qian}, Appl. Math. Comput. 274, 679--689 (2016; Zbl 1410.82036) Full Text: DOI
Li, Jiayu; Sun, Linlin A note on the nonexistence of quasi-harmonic spheres. (English) Zbl 1365.58010 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 151, 13 p. (2016). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Sun}, Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 151, 13 p. (2016; Zbl 1365.58010) Full Text: DOI arXiv
Li, Xiaoli; Guo, Boling Well-posedness for the three-dimensional compressible liquid crystal flows. (English) Zbl 1352.35118 Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1913-1937 (2016). MSC: 35Q35 35A01 35A02 76D10 76D03 PDFBibTeX XMLCite \textit{X. Li} and \textit{B. Guo}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1913--1937 (2016; Zbl 1352.35118) Full Text: DOI
Waldron, Alex Instantons and singularities in the Yang-Mills flow. (English) Zbl 1352.53058 Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 113, 31 p. (2016). MSC: 53C44 PDFBibTeX XMLCite \textit{A. Waldron}, Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 113, 31 p. (2016; Zbl 1352.53058) Full Text: DOI arXiv
Liu, Shengquan; Zhang, Jianwen Global well-posedness for the two-dimensional equations of nonhomogeneous incompressible liquid crystal flows with nonnegative density. (English) Zbl 1354.35107 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2631-2648 (2016). MSC: 35Q35 35B45 76A15 76D03 76D05 35D35 35B44 PDFBibTeX XMLCite \textit{S. Liu} and \textit{J. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2631--2648 (2016; Zbl 1354.35107) Full Text: DOI arXiv
Liu, Qiao; Liu, Shengquan; Tan, Wenke; Zhong, Xin Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows. (English) Zbl 1364.76015 J. Differ. Equations 261, No. 11, 6521-6569 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 76A15 35Q35 35B30 82D30 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Differ. Equations 261, No. 11, 6521--6569 (2016; Zbl 1364.76015) Full Text: DOI arXiv
Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou Finite time singularity of the nematic liquid crystal flow in dimension three. (English) Zbl 1344.35104 Arch. Ration. Mech. Anal. 221, No. 3, 1223-1254 (2016). MSC: 35Q35 76A15 PDFBibTeX XMLCite \textit{T. Huang} et al., Arch. Ration. Mech. Anal. 221, No. 3, 1223--1254 (2016; Zbl 1344.35104) Full Text: DOI arXiv
Kazaniecki, Krystian; Łasica, Michał; Mazowiecka, Katarzyna Ewa; Strzelecki, Paweł A conditional regularity result for \(p\)-harmonic flows. (English) Zbl 1336.35202 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 2, Paper No. 9, 13 p. (2016). MSC: 35K65 35K92 35K55 53C44 PDFBibTeX XMLCite \textit{K. Kazaniecki} et al., NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 2, Paper No. 9, 13 p. (2016; Zbl 1336.35202) Full Text: DOI arXiv
Liu, Qiao On the temporal decay of solutions to the two-dimensional nematic liquid crystal flows. (English) Zbl 1338.76007 Math. Nachr. 289, No. 5-6, 678-692 (2016). MSC: 76A15 35B65 35Q35 PDFBibTeX XMLCite \textit{Q. Liu}, Math. Nachr. 289, No. 5--6, 678--692 (2016; Zbl 1338.76007) Full Text: DOI arXiv
Bartels, Sören Projection-free approximation of geometrically constrained partial differential equations. (English) Zbl 1332.65161 Math. Comput. 85, No. 299, 1033-1049 (2016). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Bartels}, Math. Comput. 85, No. 299, 1033--1049 (2016; Zbl 1332.65161) Full Text: DOI Link
Fan, Jishan; Ozawa, Tohru Regularity criteria for harmonic heat flow and related system. (English) Zbl 1335.58011 Math. Nachr. 289, No. 1, 28-33 (2016). MSC: 58E20 35K55 PDFBibTeX XMLCite \textit{J. Fan} and \textit{T. Ozawa}, Math. Nachr. 289, No. 1, 28--33 (2016; Zbl 1335.58011) Full Text: DOI
Gao, Jincheng; Tao, Qiang; Yao, Zheng-an Strong solutions to the density-dependent incompressible nematic liquid crystal flows. (English) Zbl 1333.35193 J. Differ. Equations 260, No. 4, 3691-3748 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q35 76A15 35D35 35B44 PDFBibTeX XMLCite \textit{J. Gao} et al., J. Differ. Equations 260, No. 4, 3691--3748 (2016; Zbl 1333.35193) Full Text: DOI arXiv
Liu, Qiao; Zhang, Ting; Zhao, Jihong Well-posedness for the 3D incompressible nematic liquid crystal system in the critical \(L^p\) framework. (English) Zbl 1318.76003 Discrete Contin. Dyn. Syst. 36, No. 1, 371-402 (2016). MSC: 76A15 35B65 35Q30 PDFBibTeX XMLCite \textit{Q. Liu} et al., Discrete Contin. Dyn. Syst. 36, No. 1, 371--402 (2016; Zbl 1318.76003) Full Text: DOI
Liu, Lei; Yin, Hao On the finite time blow-up of biharmonic map flow in dimension four. (English) Zbl 1415.58010 J. Elliptic Parabol. Equ. 1, No. 2, 363-385 (2015). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 58E20 35J50 53C43 PDFBibTeX XMLCite \textit{L. Liu} and \textit{H. Yin}, J. Elliptic Parabol. Equ. 1, No. 2, 363--385 (2015; Zbl 1415.58010) Full Text: DOI arXiv
Cooper, Matthew K. Critical \(O(d)\)-equivariant biharmonic maps. (English) Zbl 1328.58009 Calc. Var. Partial Differ. Equ. 54, No. 3, 2895-2919 (2015). MSC: 58E20 35J40 35J66 35K35 35K55 35B44 PDFBibTeX XMLCite \textit{M. K. Cooper}, Calc. Var. Partial Differ. Equ. 54, No. 3, 2895--2919 (2015; Zbl 1328.58009) Full Text: DOI arXiv
Chen, Xiaochun; Jin, Yanyi; Jin, Liangbing A regularity criterion for the harmonic heat flow. (English) Zbl 1335.35090 Bull. Malays. Math. Sci. Soc. (2) 38, No. 1, 91-94 (2015). MSC: 35K05 35B65 PDFBibTeX XMLCite \textit{X. Chen} et al., Bull. Malays. Math. Sci. Soc. (2) 38, No. 1, 91--94 (2015; Zbl 1335.35090) Full Text: DOI
Liu, Shengquan; Xu, Xinying Global existence and temporal decay for the nematic liquid crystal flows. (English) Zbl 1311.35226 J. Math. Anal. Appl. 426, No. 1, 228-246 (2015). MSC: 35Q35 76A15 PDFBibTeX XMLCite \textit{S. Liu} and \textit{X. Xu}, J. Math. Anal. Appl. 426, No. 1, 228--246 (2015; Zbl 1311.35226) Full Text: DOI
Liu, Qiao; Zhang, Ting; Zhao, Jihong Global solutions to the 3D incompressible nematic liquid crystal system. (English) Zbl 1308.35222 J. Differ. Equations 258, No. 5, 1519-1547 (2015). MSC: 35Q35 76A15 76D05 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Differ. Equations 258, No. 5, 1519--1547 (2015; Zbl 1308.35222) Full Text: DOI
Huang, Jinrui; Lin, Fanghua; Wang, Changyou Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\). (English) Zbl 1298.35147 Commun. Math. Phys. 331, No. 2, 805-850 (2014). MSC: 35Q35 35Q53 35D30 35B65 76A15 PDFBibTeX XMLCite \textit{J. Huang} et al., Commun. Math. Phys. 331, No. 2, 805--850 (2014; Zbl 1298.35147) Full Text: DOI arXiv
Lei, Zhen; Li, Dong; Zhang, Xiaoyi Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions. (English) Zbl 1298.35150 Proc. Am. Math. Soc. 142, No. 11, 3801-3810 (2014). MSC: 35Q35 76A15 35B65 PDFBibTeX XMLCite \textit{Z. Lei} et al., Proc. Am. Math. Soc. 142, No. 11, 3801--3810 (2014; Zbl 1298.35150) Full Text: DOI arXiv
Liu, Qiao; Zhao, Jihong Logarithmically improved blow-up criteria for the nematic liquid crystal flows. (English) Zbl 1297.35188 Nonlinear Anal., Real World Appl. 16, 178-190 (2014). MSC: 35Q35 76A15 35B44 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{J. Zhao}, Nonlinear Anal., Real World Appl. 16, 178--190 (2014; Zbl 1297.35188) Full Text: DOI arXiv
Chen, Jingyi; Li, Yuxiang Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows. (English) Zbl 1303.58005 Adv. Math. 263, 357-388 (2014). Reviewer: Andreas Gastel (Essen) MSC: 58E20 53C44 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Y. Li}, Adv. Math. 263, 357--388 (2014; Zbl 1303.58005) Full Text: DOI arXiv
Liu, Qiao; Zhao, Jihong A regularity criterion for the solution of nematic liquid crystal flows in terms of the \({\dot B_{\infty,\infty}^{-1}}\)-norm. (English) Zbl 1306.76003 J. Math. Anal. Appl. 407, No. 2, 557-566 (2013). MSC: 76A15 35Q35 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{J. Zhao}, J. Math. Anal. Appl. 407, No. 2, 557--566 (2013; Zbl 1306.76003) Full Text: DOI arXiv
Frei, Christoph; dos Reis, Gonçalo Quadratic FBSDE with generalized Burgers type nonlinearities, perturbations and large deviations. (English) Zbl 1287.60070 Stoch. Dyn. 13, No. 2 (2013). Reviewer: Jan Gairing (Berlin) MSC: 60H10 60J60 49L25 60F10 60H30 76D06 35R60 PDFBibTeX XML Full Text: DOI arXiv
Raphaël, Pierre; Schweyer, Remi Stable blowup dynamics for the 1-corotational energy critical harmonic heat flow. (English) Zbl 1270.35136 Commun. Pure Appl. Math. 66, No. 3, 414-480 (2013). Reviewer: Kungching Chang (Beijing) MSC: 35B44 35K58 PDFBibTeX XMLCite \textit{P. Raphaël} and \textit{R. Schweyer}, Commun. Pure Appl. Math. 66, No. 3, 414--480 (2013; Zbl 1270.35136) Full Text: DOI arXiv
Zhang, Yongbing \(\mathcal{F}\)-stability of self-similar solutions to harmonic map heat flow. (English) Zbl 1257.53093 Calc. Var. Partial Differ. Equ. 45, No. 3-4, 347-366 (2012). Reviewer: Cheng He (Beijing) MSC: 53C43 00-02 35K05 58J35 PDFBibTeX XMLCite \textit{Y. Zhang}, Calc. Var. Partial Differ. Equ. 45, No. 3--4, 347--366 (2012; Zbl 1257.53093) Full Text: DOI
Han, Xiaoli Stable quasi-harmonic spheres. (English) Zbl 1246.53084 Geom. Dedicata 158, 323-327 (2012). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 53C43 53C21 PDFBibTeX XMLCite \textit{X. Han}, Geom. Dedicata 158, 323--327 (2012; Zbl 1246.53084) Full Text: DOI
Li, Jiayu; Yang, Yunyan Nonexistence of quasi-harmonic spheres with large energy. (English) Zbl 1239.58008 Manuscr. Math. 138, No. 1-2, 161-169 (2012). MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Yang}, Manuscr. Math. 138, No. 1--2, 161--169 (2012; Zbl 1239.58008) Full Text: DOI arXiv
Lin, Junyu; Ding, Shijin On the well-posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces. (English) Zbl 1242.35006 Math. Methods Appl. Sci. 35, No. 2, 158-173 (2012). Reviewer: Junichi Aramaki (Saitama) MSC: 35A01 35A02 35Q35 76D03 35K58 35K20 PDFBibTeX XMLCite \textit{J. Lin} and \textit{S. Ding}, Math. Methods Appl. Sci. 35, No. 2, 158--173 (2012; Zbl 1242.35006) Full Text: DOI
Frei, Christoph; dos Reis, Gonçalo A financial market with interacting investors: does an equilibrium exist? (English) Zbl 1255.91447 Math. Financ. Econ. 4, No. 3, 161-182 (2011). MSC: 91G80 91B52 60H10 91B60 PDFBibTeX XMLCite \textit{C. Frei} and \textit{G. dos Reis}, Math. Financ. Econ. 4, No. 3, 161--182 (2011; Zbl 1255.91447) Full Text: DOI
Bertsch, Michiel; Van Der Hout, Rein; Hulshof, Josephus Energy concentration for 2-dimensional radially symmetric equivariant harmonic map heat flows. (English) Zbl 1225.35120 Commun. Contemp. Math. 13, No. 4, 675-695 (2011). MSC: 35K58 35B44 46N20 46N60 53B50 PDFBibTeX XMLCite \textit{M. Bertsch} et al., Commun. Contemp. Math. 13, No. 4, 675--695 (2011; Zbl 1225.35120) Full Text: DOI
Wang, Changyou Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data. (English) Zbl 1285.35085 Arch. Ration. Mech. Anal. 200, No. 1, 1-19 (2011). MSC: 35Q35 35K45 35B30 35K15 35K59 58E20 76A15 PDFBibTeX XMLCite \textit{C. Wang}, Arch. Ration. Mech. Anal. 200, No. 1, 1--19 (2011; Zbl 1285.35085) Full Text: DOI arXiv
Paniccia, Irene Evolution of harmonic maps on manifolds flat at infinity. (English) Zbl 1227.58005 NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 3, 255-271 (2011). Reviewer: Andreas Gastel (Duisburg) MSC: 58E20 58J35 PDFBibTeX XMLCite \textit{I. Paniccia}, NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 3, 255--271 (2011; Zbl 1227.58005) Full Text: DOI
Wen, Huanyao; Ding, Shijin Solutions of incompressible hydrodynamic flow of liquid crystals. (English) Zbl 1402.76021 Nonlinear Anal., Real World Appl. 12, No. 3, 1510-1531 (2011). MSC: 76A15 35Q35 76D03 PDFBibTeX XMLCite \textit{H. Wen} and \textit{S. Ding}, Nonlinear Anal., Real World Appl. 12, No. 3, 1510--1531 (2011; Zbl 1402.76021) Full Text: DOI
Chen, Xiaochun Logarithmically improved regularity criterion for the harmonic heat flow and related equations. (English) Zbl 1211.35062 Appl. Math. Comput. 217, No. 13, 6260-6263 (2011). MSC: 35B65 PDFBibTeX XMLCite \textit{X. Chen}, Appl. Math. Comput. 217, No. 13, 6260--6263 (2011; Zbl 1211.35062) Full Text: DOI
Lin, Fanghua; Wang, Changyou On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals. (English) Zbl 1208.35002 Chin. Ann. Math., Ser. B 31, No. 6, 921-938 (2010). MSC: 35A02 35K55 58J35 35D30 PDFBibTeX XMLCite \textit{F. Lin} and \textit{C. Wang}, Chin. Ann. Math., Ser. B 31, No. 6, 921--938 (2010; Zbl 1208.35002) Full Text: DOI Link
Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). (English) Zbl 1205.35294 Commun. Math. Phys. 300, No. 1, 205-242 (2010). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35Q60 82D40 35B45 35B35 35B05 80A20 PDFBibTeX XMLCite \textit{S. Gustafson} et al., Commun. Math. Phys. 300, No. 1, 205--242 (2010; Zbl 1205.35294) Full Text: DOI arXiv
Li, Yuxiang; Wang, Youde A weak energy identity and the length of necks for a sequence of Sacks-Uhlenbeck \(\alpha \)-harmonic maps. (English) Zbl 1203.58003 Adv. Math. 225, No. 3, 1134-1184 (2010). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 35J60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Wang}, Adv. Math. 225, No. 3, 1134--1184 (2010; Zbl 1203.58003) Full Text: DOI arXiv
Lin, Fanghua; Lin, Junyu; Wang, Changyou Liquid crystal flows in two dimensions. (English) Zbl 1346.76011 Arch. Ration. Mech. Anal. 197, No. 1, 297-336 (2010). MSC: 76A15 82D30 35Q35 PDFBibTeX XMLCite \textit{F. Lin} et al., Arch. Ration. Mech. Anal. 197, No. 1, 297--336 (2010; Zbl 1346.76011) Full Text: DOI
Rodnianski, Igor; Sterbenz, Jacob On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model. (English) Zbl 1213.35392 Ann. Math. (2) 172, No. 1, 187-242 (2010). Reviewer: Helmut Rumpf (Wien) MSC: 35Q75 35B35 PDFBibTeX XMLCite \textit{I. Rodnianski} and \textit{J. Sterbenz}, Ann. Math. (2) 172, No. 1, 187--242 (2010; Zbl 1213.35392) Full Text: DOI arXiv Link
Baňas, Ľubomír; Prohl, Andreas; Schätzle, Reiner Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. (English) Zbl 1203.65174 Numer. Math. 115, No. 3, 395-432 (2010). Reviewer: Pavel Burda (Praha) MSC: 65M60 65M12 35K55 35Q35 PDFBibTeX XMLCite \textit{Ľ. Baňas} et al., Numer. Math. 115, No. 3, 395--432 (2010; Zbl 1203.65174) Full Text: DOI
Li, Jiayu; Zhu, Xiangrong Non existence of quasi-harmonic spheres. (English) Zbl 1208.58017 Calc. Var. Partial Differ. Equ. 37, No. 3-4, 441-460 (2010). Reviewer: Ye-Lin Ou (Commerce) MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Zhu}, Calc. Var. Partial Differ. Equ. 37, No. 3--4, 441--460 (2010; Zbl 1208.58017) Full Text: DOI
Ma, Li; Cheng, Liang Non-local heat flows and gradient estimates on closed manifolds. (English) Zbl 1239.35173 J. Evol. Equ. 9, No. 4, 787-807 (2009). MSC: 35R01 35K15 35J60 58J05 PDFBibTeX XMLCite \textit{L. Ma} and \textit{L. Cheng}, J. Evol. Equ. 9, No. 4, 787--807 (2009; Zbl 1239.35173) Full Text: DOI arXiv
Bartels, Sören; Lubich, Christian; Prohl, Andreas Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. (English) Zbl 1198.65178 Math. Comput. 78, No. 267, 1269-1292 (2009). MSC: 65M12 65M60 35K55 35Q35 PDFBibTeX XMLCite \textit{S. Bartels} et al., Math. Comput. 78, No. 267, 1269--1292 (2009; Zbl 1198.65178) Full Text: DOI
Fan, Jishan; Ozawa, Tohru Logarithmically improved regularity criteria for Navier-Stokes and related equations. (English) Zbl 1180.35407 Math. Methods Appl. Sci. 32, No. 17, 2309-2318 (2009). MSC: 35Q30 35Q60 35Q79 76D05 35B65 80A20 46E30 PDFBibTeX XMLCite \textit{J. Fan} and \textit{T. Ozawa}, Math. Methods Appl. Sci. 32, No. 17, 2309--2318 (2009; Zbl 1180.35407) Full Text: DOI
Alouges, François; Beauchard, Karine Magnetization switching on small ferromagnetic ellipsoidal samples. (English) Zbl 1167.49003 ESAIM, Control Optim. Calc. Var. 15, No. 3, 676-711 (2009). MSC: 49J15 35A05 35A07 35D05 35K20 35K55 35Q60 82D40 49K40 PDFBibTeX XMLCite \textit{F. Alouges} and \textit{K. Beauchard}, ESAIM, Control Optim. Calc. Var. 15, No. 3, 676--711 (2009; Zbl 1167.49003) Full Text: DOI EuDML
Chipot, M.; Shafrir, I.; Valente, V.; Caffarelli, G. Vergara On a hyperbolic-parabolic system arising in magnetoelasticity. (English) Zbl 1173.35007 J. Math. Anal. Appl. 352, No. 1, 120-131 (2009). MSC: 35A05 74F15 PDFBibTeX XMLCite \textit{M. Chipot} et al., J. Math. Anal. Appl. 352, No. 1, 120--131 (2009; Zbl 1173.35007) Full Text: DOI
Guan, Meijiao; Gustafson, Stephen; Tsai, Tai-Peng Global existence and blow-up for harmonic map heat flow. (English) Zbl 1177.35104 J. Differ. Equations 246, No. 1, 1-20 (2009). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35K15 35K55 35B35 PDFBibTeX XMLCite \textit{M. Guan} et al., J. Differ. Equations 246, No. 1, 1--20 (2009; Zbl 1177.35104) Full Text: DOI
Misawa, Masashi; Ogawa, Takayoshi Regularity condition by mean oscillation to a weak solution of the 2-dimensional harmonic heat flow into sphere. (English) Zbl 1177.35115 Calc. Var. Partial Differ. Equ. 33, No. 4, 391-415 (2008). MSC: 35K55 58E20 58J35 46E30 35B45 PDFBibTeX XMLCite \textit{M. Misawa} and \textit{T. Ogawa}, Calc. Var. Partial Differ. Equ. 33, No. 4, 391--415 (2008; Zbl 1177.35115) Full Text: DOI