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Volumn 22, Issue 7, 2009, Pages 1559-1568

Blowup of solutions to a diffusive aggregation model

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EID: 67650727361     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/22/7/003     Document Type: Article
Times cited : (28)

References (16)
  • 2
    • 65249090848 scopus 로고    scopus 로고
    • Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
    • Bertozzi A L, Carrillo J A and Laurent T 2009 Blow-up in multidimensional aggregation equations with mildly singular interaction kernels Nonlinearity 22 683-710
    • (2009) Nonlinearity , vol.22 , Issue.3 , pp. 683-710
    • Bertozzi, A.L.1    Carrillo, J.A.2    Laurent, T.3
  • 3
    • 34547507325 scopus 로고    scopus 로고
    • Finite-time blow-up of solutions of an aggregation equation in
    • Bertozzi A L and Laurent T 2007 Finite-time blow-up of solutions of an aggregation equation in Commun. Math. Phys. 274 717-35
    • (2007) Commun. Math. Phys. , vol.274 , Issue.3 , pp. 717-735
    • Bertozzi, A.L.1    Laurent, T.2
  • 4
    • 0000657461 scopus 로고    scopus 로고
    • Local and global solvability of parabolic systems modelling chemotaxis
    • Biler P 1998 Local and global solvability of parabolic systems modelling chemotaxis Adv. Math. Sci. Appl. 8 715-43
    • (1998) Adv. Math. Sci. Appl. , vol.8 , pp. 715-743
    • Biler, P.1
  • 5
    • 0009978417 scopus 로고
    • Existence and nonexistence of solutions for a model of gravitational interaction of particles: III
    • Biler P 1995 Existence and nonexistence of solutions for a model of gravitational interaction of particles: III Colloq. Math. 68 229-39
    • (1995) Colloq. Math. , vol.68 , pp. 229-239
    • Biler, P.1
  • 8
    • 0345504868 scopus 로고    scopus 로고
    • Global and exploding solutions for nonlocal quadratic evolution problems
    • Biler P and Woyczyński W A 1998 Global and exploding solutions for nonlocal quadratic evolution problems SIAM J. Appl. Math. 59 845-69
    • (1998) SIAM J. Appl. Math. , vol.59 , Issue.3 , pp. 845-869
    • Biler, P.1    Woyczyński, W.A.2
  • 9
    • 58449099055 scopus 로고    scopus 로고
    • Two-dimensional chemotaxis models with fractional diffusion
    • Biler P and Wu G 2009 Two-dimensional chemotaxis models with fractional diffusion Math. Methods Appl. Sci. 32 112-26
    • (2009) Math. Methods Appl. Sci. , vol.32 , Issue.1 , pp. 112-126
    • Biler, P.1    Wu, G.2
  • 10
    • 33747469213 scopus 로고    scopus 로고
    • Fractal first order partial differential equations
    • Droniou J and Imbert C 2006 Fractal first order partial differential equations Arch. Rational Mech. Anal. 182 299-331
    • (2006) Arch. Rational Mech. Anal. , vol.182 , Issue.2 , pp. 299-331
    • Droniou, J.1    Imbert, C.2
  • 11
    • 33846038745 scopus 로고    scopus 로고
    • The fractional Keller-Segel model
    • Escudero C 2006 The fractional Keller-Segel model Nonlinearity 19 2909-18
    • (2006) Nonlinearity , vol.19 , Issue.12 , pp. 2909-2918
    • Escudero, C.1
  • 13
    • 36949038223 scopus 로고    scopus 로고
    • Local and global existence for an aggregation equation
    • Laurent T 2007 Local and global existence for an aggregation equation Commun. Partial Diff. Eqns 32 1941-64
    • (2007) Commun. Partial Diff. Eqns , vol.32 , Issue.12 , pp. 1941-1964
    • Laurent, T.1
  • 14
    • 61649094952 scopus 로고    scopus 로고
    • Finite-time singularities of an aggregation equation in with fractional dissipation
    • Li D and Rodrigo J L 2009 Finite-time singularities of an aggregation equation in with fractional dissipation Commun. Math. Phys. 287 687-703
    • (2009) Commun. Math. Phys. , vol.287 , Issue.2 , pp. 687-703
    • Li, D.1    Rodrigo, J.L.2
  • 15
    • 60349124484 scopus 로고    scopus 로고
    • Refined blowup criteria and nonsymmetric blowup of an aggregation equation
    • Li D and Rodrigo J L 2009 Refined blowup criteria and nonsymmetric blowup of an aggregation equation Adv. Math. 220 1717-38
    • (2009) Adv. Math. , vol.220 , Issue.6 , pp. 1717-1738
    • Li, D.1    Rodrigo, J.L.2
  • 16
    • 67650716454 scopus 로고    scopus 로고
    • Exploding solutions for a nonlocal quadratic evolution problem
    • Li D, Rodrigo J L and Zhang X 2009 Exploding solutions for a nonlocal quadratic evolution problem Rev. Mat. Iberoamericana submitted
    • (2009) Rev. Mat. Iberoamericana
    • Li, D.1    Rodrigo, J.L.2    Zhang, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.