Global wellposedness for a class of reaction–advection–anisotropic-diffusion systems

[1]  D. Bothe,et al.  Global Existence for a Class of Reaction-Diffusion Systems with Mass Action Kinetics and Concentration-Dependent Diffusivities , 2014, 1402.4846.

[2]  Dieter Bothe,et al.  Continuum thermodynamics of chemically reacting fluid mixtures , 2013, 1401.5991.

[3]  D. Bothe,et al.  Global existence for diffusion–electromigration systems in space dimension three and higher , 2013, 1311.1652.

[4]  G. Rolland Global existence and fast-reaction limit in reaction-diffusion systems with cross effects , 2012 .

[5]  Dieter Bothe,et al.  Cross-Diffusion Limit for a Reaction-Diffusion System with Fast Reversible Reaction , 2012 .

[6]  Serge Kräutle,et al.  Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media , 2011 .

[7]  H. Brezis Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .

[8]  M. Pierre Global Existence in Reaction-Diffusion Systems with Control of Mass: a Survey , 2010 .

[9]  Dieter Bothe,et al.  On the Maxwell-Stefan Approach to Multicomponent Diffusion , 2010, 1007.1775.

[10]  Eduard Feireisl,et al.  Multicomponent reactive flows: Global-in-time existence for large data , 2008 .

[11]  Yuan Lou,et al.  Advection-mediated coexistence of competing species , 2007, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[12]  J. Prüss,et al.  Optimal Lp-Lq-estimates for parabolic boundary value problems with inhomogeneous data , 2007 .

[13]  Albert Y. Zomaya,et al.  Partial Differential Equations , 2007, Explorations in Numerical Analysis.

[14]  C. Cosner,et al.  Spatial Ecology via Reaction-Diffusion Equations , 2003 .

[15]  Didier Schmitt,et al.  Blowup in Reaction-Diffusion Systems with Dissipation of Mass , 1997, SIAM Rev..

[16]  N. Uraltseva,et al.  The oblique boundary-value problem for a quasilinear parabolic equation , 1995 .

[17]  A. Nazarov Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure , 1993 .

[18]  J. Morgan,et al.  Global existence and asymptotic decay for systems of convective reaction-diffusion equations , 1991 .

[19]  H. Amann Dynamic theory of quasilinear parabolic systems , 1989 .

[20]  Brian Straughan,et al.  Analysis of a convective reaction-diffusion equation II , 1989 .

[21]  Howard A. Levine,et al.  Analysis of a convection reaction-diffusion equation , 1988 .

[22]  Robert H. Martin,et al.  Global existence and boundedness in reaction-diffusion systems , 1987 .

[23]  J. Simon Compact sets in the spaceLp(O,T; B) , 1986 .

[24]  André Fischer Well-posedness and asymptotic behavior in reactive and electro-kinetic flow processes , 2013 .

[25]  T. Goudon,et al.  Regularity analysis for systems of reaction-diffusion equations , 2010 .

[26]  Robert Denk,et al.  Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data , 2005 .

[27]  J. Petersson,et al.  On global existence for semilinear parabolic systems , 2005 .

[28]  V. Volpert,et al.  Reaction-diffusion-convection problems in unboundeed cylinders , 2003 .

[29]  Maximal Lp-RegularityLet,et al.  Maximal Regularity for Evolution Equations in L P -spaces , 2002 .

[30]  H. Gajewski,et al.  Reaction—Diffusion Processes of Electrically Charged Species , 1996 .

[31]  Herbert Amann,et al.  Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems , 1993 .

[32]  O. Ladyženskaja Linear and Quasilinear Equations of Parabolic Type , 1968 .