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Volumn 139, Issue 1, 2015, Pages 25-57

Global Existence for a Class of Reaction-Diffusion Systems with Mass Action Kinetics and Concentration-Dependent Diffusivities

Author keywords

Filtration equation; Global existence; Mass action kinetics; Reaction diffusion systems; Reversible reactions

Indexed keywords

DIFFUSION; DIFFUSION IN LIQUIDS; DYNAMIC MODELS; REACTION KINETICS;

EID: 84929372398     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/s10440-014-9968-y     Document Type: Article
Times cited : (19)

References (35)
  • 1
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic systems. III. Global existence
    • Amann, H.: Dynamic theory of quasilinear parabolic systems. III. Global existence. Math. Z. 202(2), 219–250 (1989)
    • (1989) Math. Z. , vol.202 , Issue.2 , pp. 219-250
    • Amann, H.1
  • 2
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • Teubner-Texte Math., 133, Teubner, Stuttgar
    • Amann, H.: Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: Function Spaces, Differential Operators and Nonlinear Analysis, Friedrichroda, 1992. Teubner-Texte Math., vol. 133, pp. 9–126. Teubner, Stuttgart (1993)
    • (1993) Function Spaces, Differential Operators and Nonlinear Analysis, Friedrichroda, 1992 , pp. 9-126
    • Amann, H.1
  • 3
    • 0001608595 scopus 로고
    • Compacité de l’opérateur f→u solution d’une équation non linéaire (du/dt)+Au∋f
    • Baras, P.: Compacité de l’opérateur f→u solution d’une équation non linéaire (du/dt)+Au∋f. C. R. Acad. Sci. Paris 268, 1113–1116 (1978)
    • (1978) C. R. Acad. Sci. Paris , vol.268 , pp. 1113-1116
    • Baras, P.1
  • 5
    • 84942464607 scopus 로고    scopus 로고
    • Bénilan, Ph., Crandall, M.G., Pazy, A.: Evolution equations in Banach spaces, preprint monograph
    • Bénilan, Ph., Crandall, M.G., Pazy, A.: Evolution equations in Banach spaces, preprint monograph
  • 6
    • 84942464608 scopus 로고    scopus 로고
    • Bothe, D., Dreyer, W.: Continuum thermodynamics of chemically reacting fluid mixtures and the Maxwell-Stefan equations of multicomponent mass transport (2014), submitted
    • Bothe, D., Dreyer, W.: Continuum thermodynamics of chemically reacting fluid mixtures and the Maxwell-Stefan equations of multicomponent mass transport (2014), submitted. http://arxiv.org/pdf/1401.5991.pdf
  • 7
    • 0141720092 scopus 로고    scopus 로고
    • Flow invariance for perturbed nonlinear evolution equations
    • Bothe, D.: Flow invariance for perturbed nonlinear evolution equations. Abstr. Appl. Anal. 1, 379–395 (1996)
    • (1996) Abstr. Appl. Anal. , vol.1 , pp. 379-395
    • Bothe, D.1
  • 8
    • 84942464609 scopus 로고    scopus 로고
    • Bothe, D.: Nonlinear evolutions in Banach spaces—Existence and qualitative theory with applications to reaction-diffusion systems. Habilitation thesis, University of Paderborn (1999)
    • Bothe, D.: Nonlinear evolutions in Banach spaces—Existence and qualitative theory with applications to reaction-diffusion systems. Habilitation thesis, University of Paderborn (1999)
  • 10
    • 77951208201 scopus 로고    scopus 로고
    • Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate
    • Bothe, D., Pierre, M.: Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate. J. Math. Anal. Appl. 368, 120–132 (2010)
    • (2010) J. Math. Anal. Appl. , vol.368 , pp. 120-132
    • Bothe, D.1    Pierre, M.2
  • 11
    • 84867844258 scopus 로고    scopus 로고
    • Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction
    • Bothe, D., Pierre, M., Rolland, G.: Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction. Commun. Partial Differ. Equ. 37, 1940–1966 (2012)
    • (2012) Commun. Partial Differ. Equ. , vol.37 , pp. 1940-1966
    • Bothe, D.1    Pierre, M.2    Rolland, G.3
  • 12
    • 0038446673 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
    • Choi, Y.S., Lui, R., Yamada, Y.: Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion. Discrete Contin. Dyn. Syst. 9, 1193–1200 (2003)
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 1193-1200
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 14
    • 33645548609 scopus 로고    scopus 로고
    • Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
    • Desvillettes, L., Fellner, K.: Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. J. Math. Anal. Appl. 319, 157–176 (2006)
    • (2006) J. Math. Anal. Appl. , vol.319 , pp. 157-176
    • Desvillettes, L.1    Fellner, K.2
  • 16
    • 0242287337 scopus 로고    scopus 로고
    • -Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic type
    • Denk, R., Hieber, M., Prüss, J.: $\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic type. Mem. Am. Math. Soc. 166(788), 1–114 (2003)
    • (2003) Mem. Am. Math. Soc. , vol.166 , Issue.788 , pp. 1-114
    • Denk, R.1    Hieber, M.2    Prüss, J.3
  • 18
    • 84942464610 scopus 로고    scopus 로고
    • Dung, L.: Global existence for a class of strongly coupled parabolic systems. Ann. Mat. Pura Appl. (4) (2006)
    • Dung, L.: Global existence for a class of strongly coupled parabolic systems. Ann. Mat. Pura Appl. (4) (2006)
  • 21
    • 0345932445 scopus 로고
    • Coupled system of reaction-diffusion equations and applications in carrier facilitated diffusion
    • Feng, W.: Coupled system of reaction-diffusion equations and applications in carrier facilitated diffusion. Nonlinear Anal. 17(3), 285–311 (1991)
    • (1991) Nonlinear Anal. , vol.17 , Issue.3 , pp. 285-311
    • Feng, W.1
  • 23
    • 77951204718 scopus 로고    scopus 로고
    • Regularity analysis for systems of reaction-diffusion equations
    • Goudon, T., Vasseur, A.: Regularity analysis for systems of reaction-diffusion equations. Ann. Sci. Éc. Norm. Super. 43, 117–142 (2010)
    • (2010) Ann. Sci. Éc. Norm. Super. , vol.43 , pp. 117-142
    • Goudon, T.1    Vasseur, A.2
  • 25
    • 84888877408 scopus 로고    scopus 로고
    • Jüngel, A., Stelzer, I.V.: Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. SIAM J. Math. Anal. (2013)
    • Jüngel, A., Stelzer, I.V.: Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. SIAM J. Math. Anal. (2013)
  • 30
    • 10644245998 scopus 로고    scopus 로고
    • Global existence for a class of quasilinear reaction-diffusion systems
    • Morgan, J., Waggonner, S.: Global existence for a class of quasilinear reaction-diffusion systems. Commun. Appl. Anal. 8, 153–166 (2004)
    • (2004) Commun. Appl. Anal. , vol.8 , pp. 153-166
    • Morgan, J.1    Waggonner, S.2
  • 31
    • 79951773865 scopus 로고    scopus 로고
    • Global existence in reaction-diffusion systems with control of mass: a survey
    • Pierre, M.: Global existence in reaction-diffusion systems with control of mass: a survey. Milan J. Math. 78, 417–455 (2010)
    • (2010) Milan J. Math. , vol.78 , pp. 417-455
    • Pierre, M.1
  • 32
    • 27844594320 scopus 로고    scopus 로고
    • Maximal regularity for evolution equations in L p-spaces
    • Prüss, J.: Maximal regularity for evolution equations in Lp-spaces. Conf. Semin. Mat. Univ. Bari 285, 1–39 (2003)
    • (2003) Conf. Semin. Mat. Univ. Bari , vol.285 , pp. 1-39
    • Prüss, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.