Preprints

The aim of this series is to present reports produced by our department but not (yet) published otherwise. A later publication of these results, maybe in modified form, is not excluded. Further results of interest but not suitable for other publication (like counterexamples etc.) are recorded here, too. All rights are reserved by the authors.

No. Author(s) Title PDF Date
47. L. Döring and C. Melcher Compactness results for static and dynamic chiral skyrmions near the conformal limit PDF 04.10.2016
46. M. Kampschulte The flat metric as a generalized Wasserstein distance PDF 23.09.2016
45. O. Chugreeva Motion of the Ginzburg-Landau vortices for the mixed flow with convective forcing PDF 11.09.2015
44. O. Chugreeva Vortices for a stochastic parabolic Ginzburg-Landau equation PDF 11.09.2015
43. B. Benešová, M.Kampschulte Gradient Young measures generated by quasiconformal maps in the plane PDF 04.09.2014
42. C. Melcher Chiral skyrmions in the plane PDF 15.05.2014
41. B. Benešová, S. Krömer, M. Kružík Boundary effects and weak* lower semicontinuity for signed integral functionals on BV PDF 05.05.2014
40. B. Benešová, C. Melcher, E. Süli An implicit midpoint spectral approximation of nonlocal Cahn-Hilliard equations PDF 09.10.2013
39. M. Kurzke, C. Melcher, R. Moser Vortex motion for the Landau-Lifshitz-Gilbert equation with applied magnetic field PDF 06.10.2013
38. C. Melcher, J.D.M. Rademacher Pattern formation in axially symmetric Landau-Lifshitz-Gilbert-Slonzcewski equations PDF 24.09.2013
37. B. Benešová, M. Kružík Characterization of gradient Young measure generated by homeomorphisms in the plane PDF 13.08.2013
36. M. Frost, B. Benešová, P. Sedlák A microscopically motivated constitutive model for shape memory alloys: formulation, analysis and computations PDF 21.05.2013
35. B. Benešová, M. Kružík, G. Pathó A mesoscopic thermomechanically-coupled model for thin-film shape-memory alloys by dimension reduction and scale transition PDF 22.04.2013
34. C. Melcher, M. Ptashnyk Landau-Lifshitz-Slonzcewski equations: global weak and classical solutions PDF 21.05.2012
33. M. Kurzke, C. Melcher, R. Moser, D. Spirn Vortex dynamics in the presence of excess energy for the the Landau-Lifshitz-Gilbert equation PDF 02.03.2012
32. C. Melcher Well-posedness for a class of nonlinear fourth-order diffusion equations PDF 10.10.2011
31. M. Ptashnyk Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures PDF 02.05.2011
30. C. Melcher Global solvability of the Cauchy problem for the Landau-Lifshitz-Gilbert equation in higher dimensions PDF 02.05.2011
29. Y. Golovaty, A. Marciniak-Czochra, M. Ptashnyk Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations PDF 11.03.2011
28. M. Ptashnyk, T. Roose Derivation of a macroscopic model for transport of strongly sorbed solutes in the soil using homogenization theory PDF 08.12.2010
27. M. Kurzke, C. Melcher, R. Moser Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Spin Transfer Torque PDF 17.09.2010
26. M. Kurzke, C. Melcher, R. Moser, D. Spirn Ginzburg-Landau vortices driven by the Landau-Lifshitz-Gilbert equation PDF 29.09.2009
25. C. Melcher Thin-film limits for Landau-Lifshitz-Gilbert equations PDF 29.09.2009
24. N. Condette, C. Melcher, E. Suli Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth PDF 29.09.2009
23. M. Kurzke, C. Melcher, R. Moser, D. Spirn Dynamics of Ginzburg-Landau vortices under a mixed flow PDF 29.09.2009
22. Djie, K., Stinner C. Grundlagen zum Nachweis maximaler L_p-Regularität PDF 29.05.2009
21. Stinner, C. Blow-up in a degenerate parabolic equation with gradient nonlinearity PDF 15.02.2008
20. Djie, K. On upper bounds for waiting times for doubly nonlinear parabolic equations PDF 14.02.2008
19. Djie, K. On the nonintegrability of expressions involving the distance to a nonsmooth boundary PDF 05.04.2006
18. Stinner, C. Degenerate diffusion equations with gradient terms PDF 20.01.2005
17. Djie, K. Maximale L_p-Regularität des abstrakten Cauchy-Problems PDF 20.01.2005
16. Heep, H.-J.. Berechnung uneigentlicher Integrale mit komplexen Integrationsmethoden PDF 15.07.2002
15. Winkler, M. Propagation versus constancy of support in the degenerate parabolic equation u_t=f(u) \Delta u PDF 05.07.2002
14. Winkler, M. On the equation u_t=u^p(\Delta u+u) in domains with critical size PDF 07.05.2002
13. Winkler, M. Blow-up of solutions to a degenerate parabolic equation not in divergence form PDF 03.05.2002
12. Winkler, M. Universal bounds for global solutions to a forced porous medium equation PDF 21.02.2002
11. Winkler, M. Entropy solutions with constant support of a fourth order degenerate parabolic equation PDF 15.08.2001
10. Winkler, M. A critical exponent in a degenerate parabolic equation PDF 22.06.2001
9. Winkler, M. On the Cauchy problem for a degenerate parabolic equation PDF 19.12.2000
8. Winkler, M. A necessary and sufficient condition for blow-up of solutions of certain quasilinear parabolic equations PDF 19.12.2000
7. Winkler, M. Some results on degenerate parabolic equations not in divergence form PDF 19.12.2000
6. Schmitt, B.J.,
Winkler, M.
On embeddings between BV and Ws,p PDF 15.03.2000
5. Wiegner, M. Decay estimates for strong solutions of the Navier-Stokes equations in exterior domains PDF 07.10.1999
4. Wiegner, M. Higher order estimates in further dimensions for the solutions of Navier-Stokes equations PDF 29.04.1999
3. Schmitt, B.J. Counterexample to the parabolic comparison principle for Hölder continuous nonlinearities PDF 22.04.1999
2. Wiegner, M. A hyperbolic equation, arising in Polymer-chemistry PDF 22.04.1999
1. Wiegner, M. The Fourier-Splitting Method, revisited PDF 22.04.1999