Min Tang

For students:
Applications are constantly invited at graduate or postdoc level. For details, please drop me an email.Research Interests:
General Mathematical Biology, especially, individual based models and its corresponding continuous model;:Kinetic equations for Chemotaxis; Nonlinear reaction diffusion equation for tumor modeling;
Traveling wave solutions and patten formation;
Multiscale Radiative Transport Equations; Anisotropic diffusion equations;
Semiclassical limit in quantum Mechanics; Singular limit problems in fluid mechanics.
Editorial Boards:
Journal of Mathematical Biology, 12/2018Communication in Mathematical Sciences, 01/2018
List of Publications
Submitted:Accurate front capturing asymptotic preserving method for nonlinear grey radiative transport equation. 
Investigating the role of cellular reactive oxygen species in cancer chemotherapy, Journal of Experimental & Clinical Cancer Research,v:37,2018. The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations, Plos Computational Biology, Vol.14,I.6,e1006178,2018. The fractional diffusion limit of a kinetic model with biochemical pathway Zeitschrift fur angewandte Mathematik und Physik, 69(3), N.67, 2018 An Accurate front capturing scheme for tumor growth models with a free boundary limit Journal of Computational Physics, 364,7394,2018. Analysis and computation of some tumor growth models with nutrient: from the cell density models to the free boundary dynamics Discrete and Continuous Dynamical SystemB,2018 Uniformly Convergent Scheme for RTE with Anisotropic Scattering up to the boundary and interface layers Communication in Computational Physics,24,10211048,2018. Uniform convergent scheme for strongly anisotropic diffusion equations with closed field lines SIAM Journal on Scientific Computing, 40(5), 12531276,2018 Macroscopic Limits of pathwaybased kinetic models for E.coli chemotaxis in the exponential large gradient environment, Multiscale Modeling and Simulation, 15(2), 797826, 2017. Uniform convergent Tailored Finite Point method for advectiondiffusion equation with discontinuous, anisotropic and vanishing diffusivity, Journal of Scientific Computing, Vol. 70, No.1, 272300, January 2017. An Asymptotic Preserving method for strongly anisotropic diffusion equations based on field line integration, Journal of Computational Physics, Vol. 330, No. 1, 735748, 2017. Derivation of the bacterial runandtumble kinetic equation from a model with biochemical pathway Journal of Mathematical Biology, Vol. 73, No. 5, pp. 11611178, 2016. An augmented KellerSegal model for E. coli chemotaxis in fastvarying environments, Communication in Mathematical Sciences, Vol.14, No.3, pp. 883891, 2016. A pathwaybased meanfield model for E. coli chemotaxis: mathematical derivation and kellersegel limit, SIAM Multiscale Modeling and Simulation, Vol. 12, No. 2, pp. 907926, 2014. Derivation of a HeleShaw type system from a cell model with active motion, Interfaces and Free Boundaries, Vol. 16, pp. 489508, 2014. Traveling wave solution of the HeleShaw model of tumor growth with nutrient, Mathematical Models and Methods in Applied Sciences, Vol. 24, No. 13, pp. 2601, 2014. Two uniform tailored finite point schemes for the two dimensional discrete ordinates transport equations with boundary and interface layers, Communication in Computational Physics, Vol. 15, No. 3, 797826, 2014. The Gaussian Beam method for the wigner equation with discontinuous potentials, Inverse Problems and Imaging, a special issue in honor of the 60th birthday of Tony Chan. Vol. 7, No. 3, 21,2013. A relaxation method for the pulsating front simulation of the periodic advection diffusion reaction equation. Communication in Mathematical Sciences, Vol. 11, No. 3,651678, 2013. A uniform convergent tailor finite point method for singularly perturbed linear ODE systems. Journal of Computational Mathematics. Vol.31, No.4, 422438, 2013. Relaxation method for one dimensional traveling waves of singular and nonlocal equations. Discrete and Continuous Dynamical System  B, Vol. 18, No. 5, July 2013. Composite waves for a cell population system modeling tumor growth and invasion. Special issue of Chinese Annals of Mathematics Ser. B delicated to JacquesLouis Lions, Vol. 34 No.2 295318, 2013. Second order method for Isentropic Euler equation in the low Mach number regime, Kinetic and Related Models, Vol. 5: 1, 155184, 2012. Can traveling waves connect two steady states? The case of nonlocal Fisher equation. C. R. Acad. Sci. Paris, Ser. I349, 559557, 2011. Traveling plateaus for a hyperbolic KellerSegel system with logistic sensitivity; existence and branching instabilities. Nonlinearity, 24 12531270,2011. (Featured Article) Waves for an hyperbolic KellerSegel model and branching instabilities. Mathematical Models and Methods in Applied Sciences, Vol. 21, Suppl. 825842,2011. All speed method for the Euler equation in the low mach number limit. Communications in Computational Physics, 10, 131, 2011. Simulation of selfpropelled chemotactic bacteria in a stokes flow. ESAIM: Proceedings, 30, 105124, 2010. A uniform first order method for the discrete ordinate transport equation with interfaces in X,Ygeometry. Journal of Computational Mathematics, 27, 764786, 2009. A uniformly second order numerical method for the onedimensional discreteordinate transport equation and its diffusion limit with interface. Networks and Heterogenious Media, 4, 3565, 2009. On the timesplitting spectral method for the complex GinzburgLandau equation in the large time and space scale limit. SIAM J. Sci. Comp. 30, 24662487, 2008. 