{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T04:12:19Z","timestamp":1741925539158,"version":"3.38.0"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T00:00:00Z","timestamp":1740441600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T00:00:00Z","timestamp":1740441600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100003399","name":"Science and Technology Commission of Shanghai Municipality","doi-asserted-by":"publisher","award":["No. 22DZ2229014"],"award-info":[{"award-number":["No. 22DZ2229014"]}],"id":[{"id":"10.13039\/501100003399","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 12071298","No. 11421061"],"award-info":[{"award-number":["No. 12071298","No. 11421061"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Sino-German (CSC-DAAD) Postdoc Scholarship Program, 2023","award":["No. 57678375"],"award-info":[{"award-number":["No. 57678375"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Nonlinear Sci"],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1007\/s00332-025-10141-y","type":"journal-article","created":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T21:47:41Z","timestamp":1740520061000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Global Classical Solution of Peeling Models"],"prefix":"10.1007","volume":"35","author":[{"given":"Qianfeng","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongqian","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,2,25]]},"reference":[{"issue":"1","key":"10141_CR1","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1137\/1020003","volume":"20","author":"R Burridge","year":"1978","unstructured":"Burridge, R., Keller, J.B.: Peeling, slipping and cracking-some one-dimensional free-boundary problems in mechanics. SIAM Rev. 20(1), 31\u201361 (1978)","journal-title":"SIAM Rev."},{"issue":"3","key":"10141_CR2","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1785\/BSSA0570030341","volume":"57","author":"R Burridge","year":"1967","unstructured":"Burridge, R., Knopoff, L.: Model and theoretical seismicity. Bull. Seismol. Soc. Am. 57(3), 341\u2013371 (1967)","journal-title":"Bull. Seismol. Soc. Am."},{"issue":"1","key":"10141_CR3","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/0022-247X(73)90120-0","volume":"42","author":"J Cooper","year":"1973","unstructured":"Cooper, J., Bardos, C.: A nonlinear wave equation in a time dependent domain. J. Math. Anal. Appl. 42(1), 29\u201360 (1973)","journal-title":"J. Math. Anal. Appl."},{"issue":"9","key":"10141_CR4","doi-asserted-by":"publisher","first-page":"4897","DOI":"10.1016\/j.jde.2016.07.012","volume":"261","author":"G Dal Maso","year":"2016","unstructured":"Dal Maso, G., Lazzaroni, G., Nardini, L.: Existence and uniqueness of dynamic evolutions for a peeling test in dimension one. J. Differ. Equ. 261(9), 4897\u20134923 (2016)","journal-title":"J. Differ. Equ."},{"key":"10141_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00161-008-0071-3","volume":"20","author":"P-E Dumouchel","year":"2008","unstructured":"Dumouchel, P.-E., Marigo, J.-J., Charlotte, M.: Dynamic fracture: an example of convergence towards a discontinuous quasistatic solution. Contin. Mech. Thermodyn. 20, 1\u201319 (2008)","journal-title":"Contin. Mech. Thermodyn."},{"key":"10141_CR6","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/BF00032387","volume":"14","author":"K Hellan","year":"1978","unstructured":"Hellan, K.: Debond dynamics of an elastic strip, I: Timoshenko-beam properties and steady motion. Int. J. Fract. 14, 91\u2013100 (1978)","journal-title":"Int. J. Fract."},{"key":"10141_CR7","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/BF00032543","volume":"14","author":"K Hellan","year":"1978","unstructured":"Hellan, K.: Debond dynamics of an elastic strip, II: simple transient motion. Int. J. Fract. 14, 173\u2013184 (1978)","journal-title":"Int. J. Fract."},{"issue":"2","key":"10141_CR8","first-page":"775","volume":"9","author":"K Kikuchi","year":"1999","unstructured":"Kikuchi, K.: A free boundary problem for one dimensional hyperbolic equation. Adv. Math. Sci. Appl. 9(2), 775\u2013786 (1999)","journal-title":"Adv. Math. Sci. Appl."},{"issue":"5","key":"10141_CR9","doi-asserted-by":"publisher","first-page":"611","DOI":"10.1063\/1.1704154","volume":"5","author":"PD Lax","year":"1964","unstructured":"Lax, P.D.: Development of singularities of solutions of nonlinear hyperbolic partial differential equations. J. Math. Phys. 5(5), 611\u2013613 (1964)","journal-title":"J. Math. Phys."},{"key":"10141_CR10","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/s00332-017-9407-0","volume":"28","author":"G Lazzaroni","year":"2018","unstructured":"Lazzaroni, G., Nardini, L.: On the quasistatic limit of dynamic evolutions for a peeling test in dimension one. J. Nonlinear Sci. 28, 269\u2013304 (2018)","journal-title":"J. Nonlinear Sci."},{"key":"10141_CR11","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/s10704-012-9708-0","volume":"175","author":"G Lazzaroni","year":"2012","unstructured":"Lazzaroni, G., Bargellini, R., Dumouchel, P.-E., Marigo, J.-J.: On the role of kinetic energy during unstable propagation in a heterogeneous peeling test. Int. J. Fract. 175, 127\u2013150 (2012)","journal-title":"Int. J. Fract."},{"issue":"3","key":"10141_CR12","doi-asserted-by":"publisher","first-page":"401","DOI":"10.4171\/ifb\/485","volume":"25","author":"G Lazzaroni","year":"2022","unstructured":"Lazzaroni, G., Molinarolo, R., Riva, F., Solombrino, F.: On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding. Interfaces Free Boundaries 25(3), 401\u2013454 (2022)","journal-title":"Interfaces Free Boundaries"},{"key":"10141_CR13","doi-asserted-by":"publisher","first-page":"112822","DOI":"10.1016\/j.na.2022.112822","volume":"219","author":"G Lazzaroni","year":"2022","unstructured":"Lazzaroni, G., Molinarolo, R., Solombrino, F.: Radial solutions for a dynamic debonding model in dimension two. Nonlinear Anal. 219, 112822 (2022)","journal-title":"Nonlinear Anal."},{"key":"10141_CR14","unstructured":"Li, T.: Global classical solutions for quasilinear hyperbolic systems (1994)"},{"key":"10141_CR15","unstructured":"Li, T., Yu, W.: Boundary value problems for quasilinear hyperbolic systems (1985)"},{"issue":"5","key":"10141_CR16","doi-asserted-by":"publisher","first-page":"2263","DOI":"10.1007\/s10473-023-0519-3","volume":"43","author":"Q Li","year":"2023","unstructured":"Li, Q., Zhang, Y.: The global Lipschitz solution for a peeling model. Acta Mathematica Scientia 43(5), 2263\u20132278 (2023)","journal-title":"Acta Mathematica Scientia"},{"issue":"1","key":"10141_CR17","first-page":"29","volume":"9","author":"S Misra","year":"2014","unstructured":"Misra, S., Gorain, G.C.: Stability of an inhomogeneous damped vibrating string. Appl. Appl. Math. Int. J. (AAM) 9(1), 29 (2014)","journal-title":"Appl. Appl. Math. Int. J. (AAM)"},{"key":"10141_CR18","doi-asserted-by":"crossref","unstructured":"Nakane, K.: Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type (2001)","DOI":"10.3792\/pjaa.77.103"},{"key":"10141_CR19","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s00032-019-00303-5","volume":"87","author":"F Riva","year":"2019","unstructured":"Riva, F.: A continuous dependence result for a dynamic debonding model in dimension one. Milan J. Math. 87, 315\u2013350 (2019)","journal-title":"Milan J. Math."},{"issue":"3","key":"10141_CR20","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1007\/s00332-019-09595-8","volume":"30","author":"F Riva","year":"2020","unstructured":"Riva, F.: On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity. J. Nonlinear Sci. 30(3), 903\u2013951 (2020)","journal-title":"J. Nonlinear Sci."},{"key":"10141_CR21","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s00028-020-00571-4","volume":"21","author":"F Riva","year":"2021","unstructured":"Riva, F., Nardini, L.: Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping. J. Evol. Equ. 21, 63\u2013106 (2021)","journal-title":"J. Evol. Equ."},{"issue":"18","key":"10141_CR22","doi-asserted-by":"publisher","first-page":"2291","DOI":"10.1002\/mma.1530","volume":"34","author":"L Wang","year":"2011","unstructured":"Wang, L.: Direct problem and inverse problem for the supersonic plane flow past a curved wedge. Math. Methods Appl. Sci. 34(18), 2291\u20132302 (2011)","journal-title":"Math. Methods Appl. Sci."},{"issue":"19","key":"10141_CR23","doi-asserted-by":"publisher","first-page":"196101","DOI":"10.1103\/PhysRevLett.108.196101","volume":"108","author":"S Xia","year":"2012","unstructured":"Xia, S., Ponson, L., Ravichandran, G., Bhattacharya, K.: Toughening and asymmetry in peeling of heterogeneous adhesives. Phys. Rev. Lett. 108(19), 196101 (2012)","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"10141_CR24","first-page":"1461","volume":"31A","author":"W Zhao","year":"2011","unstructured":"Zhao, W.: Studying on a free boundary value problem arising from peeling model. Acta Mathematica Scientia 31A(6), 1461\u20131469 (2011). ((in Chinese))","journal-title":"Acta Mathematica Scientia"},{"issue":"4","key":"10141_CR25","first-page":"1645","volume":"23","author":"F Zhou","year":"2018","unstructured":"Zhou, F., Sun, C., Li, X.: Dynamics for the damped wave equations on time-dependent domains. Discrete Contin. Dyn. Syst. B 23(4), 1645\u20131674 (2018)","journal-title":"Discrete Contin. Dyn. Syst. B"},{"issue":"01","key":"10141_CR26","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1142\/S0252959904000044","volume":"25","author":"Y Zhou","year":"2004","unstructured":"Zhou, Y.: Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy. Chin. Ann. Math. 25(01), 37\u201356 (2004)","journal-title":"Chin. Ann. Math."},{"key":"10141_CR27","doi-asserted-by":"crossref","unstructured":"Zhou, Y.: Point-wise decay estimate for the global classical solutions to quasilinear hyperbolic systems. Math. Methods Appl. Sci. 32(13), 1669\u20131680 (2009)","DOI":"10.1002\/mma.1103"}],"container-title":["Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-025-10141-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00332-025-10141-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-025-10141-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T07:41:39Z","timestamp":1741851699000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00332-025-10141-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,25]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,4]]}},"alternative-id":["10141"],"URL":"https:\/\/doi.org\/10.1007\/s00332-025-10141-y","relation":{},"ISSN":["0938-8974","1432-1467"],"issn-type":[{"type":"print","value":"0938-8974"},{"type":"electronic","value":"1432-1467"}],"subject":[],"published":{"date-parts":[[2025,2,25]]},"assertion":[{"value":"13 September 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 February 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 February 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"47"}}