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Existence and continuity of strong solutions of partly dissipative reaction diffusion systems
1.  Department of Mathematics, Millersville University of Pennsylvania, Millersville, PA 17601, United States 
[1] 
Hongyong Cui, Peter E. Kloeden, Wenqiang Zhao. Strong $ (L^2,L^\gamma\cap H_0^1) $continuity in initial data of nonlinear reactiondiffusion equation in any space dimension. Electronic Research Archive, 2020, 28 (3) : 13571374. doi: 10.3934/era.2020072 
[2] 
Annegret Glitzky. Energy estimates for electroreactiondiffusion systems with partly fast kinetics. Discrete and Continuous Dynamical Systems, 2009, 25 (1) : 159174. doi: 10.3934/dcds.2009.25.159 
[3] 
Jishan Fan, Shuxiang Huang, Fucai Li. Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Kinetic and Related Models, 2017, 10 (4) : 10351053. doi: 10.3934/krm.2017041 
[4] 
Xiaoming Wang. Upper semicontinuity of stationary statistical properties of dissipative systems. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 521540. doi: 10.3934/dcds.2009.23.521 
[5] 
Soichiro Katayama. Global existence for systems of nonlinear wave and kleingordon equations with compactly supported initial data. Communications on Pure and Applied Analysis, 2018, 17 (4) : 14791497. doi: 10.3934/cpaa.2018071 
[6] 
Kazuhiro Ishige. On the existence of solutions of the Cauchy problem for porous medium equations with radon measure as initial data. Discrete and Continuous Dynamical Systems, 1995, 1 (4) : 521546. doi: 10.3934/dcds.1995.1.521 
[7] 
SeungYeal Ha, Bingkang Huang, Qinghua Xiao, Xiongtao Zhang. A global existence of classical solutions to the twodimensional kineticfluid model for flocking with large initial data. Communications on Pure and Applied Analysis, 2020, 19 (2) : 835882. doi: 10.3934/cpaa.2020039 
[8] 
Bingkang Huang, Lan Zhang. A global existence of classical solutions to the twodimensional VlasovFokkerPlanck and magnetohydrodynamics equations with large initial data. Kinetic and Related Models, 2019, 12 (2) : 357396. doi: 10.3934/krm.2019016 
[9] 
Michele Campiti, Giovanni P. Galdi, Matthias Hieber. Global existence of strong solutions for $2$dimensional NavierStokes equations on exterior domains with growing data at infinity. Communications on Pure and Applied Analysis, 2014, 13 (4) : 16131627. doi: 10.3934/cpaa.2014.13.1613 
[10] 
Wei Feng, Weihua Ruan, Xin Lu. On existence of wavefront solutions in mixed monotone reactiondiffusion systems. Discrete and Continuous Dynamical Systems  B, 2016, 21 (3) : 815836. doi: 10.3934/dcdsb.2016.21.815 
[11] 
Yumi Yahagi. Construction of unique mild solution and continuity of solution for the small initial data to 1D KellerSegel system. Discrete and Continuous Dynamical Systems  B, 2022, 27 (3) : 14971510. doi: 10.3934/dcdsb.2021099 
[12] 
Vo Van Au, Mokhtar Kirane, Nguyen Huy Tuan. Determination of initial data for a reactiondiffusion system with variable coefficients. Discrete and Continuous Dynamical Systems, 2019, 39 (2) : 771801. doi: 10.3934/dcds.2019032 
[13] 
Arnulf Jentzen, Benno Kuckuck, Thomas MüllerGronbach, Larisa Yaroslavtseva. Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 37073724. doi: 10.3934/dcdsb.2021203 
[14] 
Marina V. Plekhanova. Strong solutions of quasilinear equations in Banach spaces not solvable with respect to the highestorder derivative. Discrete and Continuous Dynamical Systems  S, 2016, 9 (3) : 833846. doi: 10.3934/dcdss.2016031 
[15] 
Xin Zhong. Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum. Discrete and Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021296 
[16] 
Huajun Gong, Jinkai Li. Global existence of strong solutions to incompressible MHD. Communications on Pure and Applied Analysis, 2014, 13 (4) : 15531561. doi: 10.3934/cpaa.2014.13.1553 
[17] 
Huajun Gong, Jinkai Li. Global existence of strong solutions to incompressible MHD. Communications on Pure and Applied Analysis, 2014, 13 (3) : 13371345. doi: 10.3934/cpaa.2014.13.1337 
[18] 
Yaping Wu, Niannian Yan. Stability of traveling waves for autocatalytic reaction systems with strong decay. Discrete and Continuous Dynamical Systems  B, 2017, 22 (4) : 16011633. doi: 10.3934/dcdsb.2017033 
[19] 
ZhiQiang Shao. Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonal form with large BV data. Communications on Pure and Applied Analysis, 2013, 12 (6) : 27392752. doi: 10.3934/cpaa.2013.12.2739 
[20] 
Fengbai Li, Feng Rong. Decay of solutions to fractal parabolic conservation laws with large initial data. Communications on Pure and Applied Analysis, 2013, 12 (2) : 973984. doi: 10.3934/cpaa.2013.12.973 
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