Publikationen Christian Stinner

Zeitschriftenaufsätze

 

Erscheinen

  1. C. Stinner, J.I. Tello, M. Winkler: Mathematical analysis of a model of chemotaxis arising from morphogenesis. Erscheint in: Mathematical Methods in the Applied Sciences.

 

2012

  1. T. Cieslak, C. Stinner: Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions. Journal of Differential Equations 252, No. 10, 5832-5851 (2012). preprint: arXiv:1112.6202
  2. Ph. Laurencot, C. Stinner: Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Journal of Dynamics and Differential Equations 24, No. 1, 29-49 (2012).

 

2011

  1. C. Stinner, M. Winkler: Global weak solutions in a chemotaxis system with large singular sensitivity. Nonlinear Analysis: Real World Applications 12, No. 6, 3727-3740 (2011).
  2. C. Stinner: Rates of convergence to zero for a semilinear parabolic equation with a critical exponent. Nonlinear Analysis: Theory, Methods & Applications 74, No. 5, 1945-1959 (2011).
  3. C. Stinner: The convergence rate for a semilinear parabolic equation with a critical exponent. Applied Mathematics Letters 24, No. 4, 454-459 (2011).
  4. Ph. Laurencot, C. Stinner: Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions. Communications in Partial Differential Equations 36, No. 3, 532-546 (2011).

 

2010

  1. G. Barles, Ph. Laurencot, C. Stinner: Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Asymptotic Analysis 67, No. 3-4, 229-250 (2010).
  2. C. Stinner: Very slow convergence rates in a semilinear parabolic equation. Nonlinear Differential Equations and Applications 17, No. 2, 213-227 (2010).
  3. C. Stinner: Convergence to steady states in a viscous Hamilton-Jacobi equation with degenerate diffusion. Journal of Differential Equations 248, No. 2, 209-228 (2010).

 

2009

  1. C. Stinner: Very slow convergence to zero for a supercritical semilinear parabolic equation. Advances in Differential Equations 14, No. 11-12, 1085-1106 (2009).

 

2008

  1. C. Stinner, M. Winkler: Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation, Indiana University Mathematics Journal 57, No. 5, 2321-2354 (2008).

 

2007

  1. C. Stinner, M. Winkler: Boundedness vs. blow-up in a degenerate diffusion equation with gradient nonlinearity, Indiana University Mathematics Journal 56, No. 5, 2233-2264 (2007).

Zur Publikation eingereicht

  1. T. Cieslak, C. Stinner: Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2. Eingereicht. arXiv:1201.3270

Dissertation

Blow-up in a degenerate parabolic equation with gradient nonlinearity, www.math1.rwth-aachen.de/de/forschung/preprints, Aachen (2008).

Diplomarbeit

Degenerate diffusion equations with gradient terms, www.math1.rwth-aachen.de/de/forschung/preprints, Aachen (2004).

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