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Networks and Heterogeneous Media (NHM)
 

Volume 7,Number 4,     December 2012

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

1

Preface     Pages : i - iii

Henri Berestycki,  Danielle Hilhorst,  Frank Merle,  Masayasu Mimura and Khashayar Pakdaman

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2

Spreading speed revisited: Analysis of a free boundary model    Pages : 583 - 603

Gary Bunting,  Yihong Du and Krzysztof Krakowski

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3

On the optimal control for a semilinear equation with cost depending on the free boundary    Pages : 605 - 615

Jésus Ildefonso Díaz,  Tommaso Mingazzini and Ángel Manuel Ramos

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4

Sturm global attractors for $S^1$-equivariant parabolic equations    Pages : 617 - 659

Bernold Fiedler,  Carlos Rocha and Matthias Wolfrum

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5

Grow up and slow decay in the critical Sobolev case    Pages : 661 - 671

Marek Fila and John R. King

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6

On asymptotically symmetric parabolic equations    Pages : 673 - 689

Juraj Földes and Peter Poláčik

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7

PDE problems arising in mathematical biology    Pages : 691 - 703

Avner Friedman

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8

A link between microscopic and macroscopic models of self-organized aggregation    Pages : 705 - 740

Tadahisa Funaki,  Hirofumi Izuhara,  Masayasu Mimura and Chiyori Urabe

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9

Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary    Pages : 741 - 766

Gung-Min Gie,  Makram Hamouda and Roger Temam

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10

Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source    Pages : 767 - 780

Peter V. Gordon and Cyrill B. Muratov

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11

Singular limit of an activator-inhibitor type model    Pages : 781 - 803

Marie Henry

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12

Small populations corrections for selection-mutation models    Pages : 805 - 836

Pierre-Emmanuel Jabin

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13

Towards classification of multiple-end solutions to the Allen-Cahn equation in $\mathbb{R}^2$    Pages : 837 - 855

Michał Kowalczyk,  Yong Liu and Frank Pacard

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14

Self-similar solutions in a sector for a quasilinear parabolic equation    Pages : 857 - 879

Bendong Lou

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15

Periodically growing solutions in a class of strongly monotone semiflows    Pages : 881 - 891

Ken-Ichi Nakamura and Toshiko Ogiwara

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16

Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance    Pages : 893 - 926

Toshiyuki Ogawa and Takashi Okuda

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17

On a class of reversible elliptic systems    Pages : 927 - 939

Paul H. Rabinowitz

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18

Entropy solutions of forward-backward parabolic equations with Devonshire free energy    Pages : 941 - 966

Flavia Smarrazzo and Alberto Tesei

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19

Liouville-type theorems for elliptic Schrödinger systems associated with copositive matrices    Pages : 967 - 988

Philippe Souplet

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20

Analysis of a simplified model of the urine concentration mechanism    Pages : 989 - 1018

Magali Tournus,  Aurélie Edwards,  Nicolas Seguin and Benoît Perthame

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