課程概述 |
1. Muratov, C. B.; Novaga, M. Front propagation in infinite cylinders. I. A variational approach. Commun. Math. Sci. 6 (2008), no. 4, 799--826
2. Lucia, M.; Muratov, C. B.; Novaga, M. Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders. Arch. Ration. Mech. Anal. 188 (2008), no. 3, 475--508.
3. Muratov, C. B.; Novaga, M. Front propagation in infinite cylinders. II. The sharp reaction zone limit. Calc. Var. Partial Differential Equations 31 (2008), no. 4, 521--547.
4. Muratov, C. B. A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type. Discrete Contin. Dyn. Syst. Ser. B 4 (2004), no. 4, 867--892.
5. Lucia, Marcello; Muratov, Cyrill B.; Novaga, Matteo Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium. Comm. Pure Appl. Math. 57 (2004), no. 5, 616--636.
6. Gallay, Thierry; Risler, Emmanuel A variational proof of global stability for bistable travelling waves. Differential Integral Equations 20 (2007), no. 8, 901--926.
7. Heinze, S.; Papanicolaou, G.; Stevens, A. Variational principles for propagation speeds in inhomogeneous media. SIAM J. Appl. Math. 62 (2001), no. 1, 129—148.
8. Heinze, S.; Schweizer, B. Creeping fronts in degenerate reaction-diffusion systems. Nonlinearity 18 (2005), no. 6, 2455--2476.
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