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Networks & Heterogeneous Media

December 2012 , Volume 7 , Issue 4

Special Issue
dedicated to Hiroshi Matano on the occasion of his 60th birthday: Part I

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Henri Berestycki, Danielle Hilhorst, Frank Merle, Masayasu Mimura and Khashayar Pakdaman
2012, 7(4): i-iii doi: 10.3934/nhm.2012.7.4i +[Abstract](924) +[PDF](109.3KB)
Spreading speed revisited: Analysis of a free boundary model
Gary Bunting, Yihong Du and Krzysztof Krakowski
2012, 7(4): 583-603 doi: 10.3934/nhm.2012.7.583 +[Abstract](1703) +[PDF](737.9KB)
On the optimal control for a semilinear equation with cost depending on the free boundary
Jésus Ildefonso Díaz, Tommaso Mingazzini and Ángel Manuel Ramos
2012, 7(4): 605-615 doi: 10.3934/nhm.2012.7.605 +[Abstract](1106) +[PDF](372.0KB)
Sturm global attractors for $S^1$-equivariant parabolic equations
Bernold Fiedler, Carlos Rocha and Matthias Wolfrum
2012, 7(4): 617-659 doi: 10.3934/nhm.2012.7.617 +[Abstract](917) +[PDF](729.4KB)
Grow up and slow decay in the critical Sobolev case
Marek Fila and John R. King
2012, 7(4): 661-671 doi: 10.3934/nhm.2012.7.661 +[Abstract](1015) +[PDF](379.7KB)
On asymptotically symmetric parabolic equations
Juraj Földes and Peter Poláčik
2012, 7(4): 673-689 doi: 10.3934/nhm.2012.7.673 +[Abstract](922) +[PDF](440.8KB)
PDE problems arising in mathematical biology
Avner Friedman
2012, 7(4): 691-703 doi: 10.3934/nhm.2012.7.691 +[Abstract](2747) +[PDF](351.8KB)
A link between microscopic and macroscopic models of self-organized aggregation
Tadahisa Funaki, Hirofumi Izuhara, Masayasu Mimura and Chiyori Urabe
2012, 7(4): 705-740 doi: 10.3934/nhm.2012.7.705 +[Abstract](1160) +[PDF](3919.7KB)
Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary
Gung-Min Gie, Makram Hamouda and Roger Temam
2012, 7(4): 741-766 doi: 10.3934/nhm.2012.7.741 +[Abstract](1062) +[PDF](351.9KB)
Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source
Peter V. Gordon and Cyrill B. Muratov
2012, 7(4): 767-780 doi: 10.3934/nhm.2012.7.767 +[Abstract](1111) +[PDF](500.6KB)
Singular limit of an activator-inhibitor type model
Marie Henry
2012, 7(4): 781-803 doi: 10.3934/nhm.2012.7.781 +[Abstract](780) +[PDF](448.7KB)
Small populations corrections for selection-mutation models
Pierre-Emmanuel Jabin
2012, 7(4): 805-836 doi: 10.3934/nhm.2012.7.805 +[Abstract](828) +[PDF](495.2KB)
Towards classification of multiple-end solutions to the Allen-Cahn equation in $\mathbb{R}^2$
Michał Kowalczyk, Yong Liu and Frank Pacard
2012, 7(4): 837-855 doi: 10.3934/nhm.2012.7.837 +[Abstract](887) +[PDF](467.4KB)
Self-similar solutions in a sector for a quasilinear parabolic equation
Bendong Lou
2012, 7(4): 857-879 doi: 10.3934/nhm.2012.7.857 +[Abstract](1101) +[PDF](491.5KB)
Periodically growing solutions in a class of strongly monotone semiflows
Ken-Ichi Nakamura and Toshiko Ogiwara
2012, 7(4): 881-891 doi: 10.3934/nhm.2012.7.881 +[Abstract](907) +[PDF](360.9KB)
Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance
Toshiyuki Ogawa and Takashi Okuda
2012, 7(4): 893-926 doi: 10.3934/nhm.2012.7.893 +[Abstract](941) +[PDF](5905.2KB)
On a class of reversible elliptic systems
Paul H. Rabinowitz
2012, 7(4): 927-939 doi: 10.3934/nhm.2012.7.927 +[Abstract](957) +[PDF](387.9KB)
Entropy solutions of forward-backward parabolic equations with Devonshire free energy
Flavia Smarrazzo and Alberto Tesei
2012, 7(4): 941-966 doi: 10.3934/nhm.2012.7.941 +[Abstract](1012) +[PDF](1828.6KB)
Liouville-type theorems for elliptic Schrödinger systems associated with copositive matrices
Philippe Souplet
2012, 7(4): 967-988 doi: 10.3934/nhm.2012.7.967 +[Abstract](826) +[PDF](432.8KB)
Analysis of a simplified model of the urine concentration mechanism
Magali Tournus, Aurélie Edwards, Nicolas Seguin and Benoît Perthame
2012, 7(4): 989-1018 doi: 10.3934/nhm.2012.7.989 +[Abstract](1113) +[PDF](569.0KB)

2017  Impact Factor: 1.187




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