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Communications on Pure & Applied Analysis

March 2012 , Volume 11 , Issue 2

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Well-posedness and long term behavior of a simplified Ericksen-Leslie non-autonomous system for nematic liquid crystal flows
Stefano Bosia
2012, 11(2): 407-441 doi: 10.3934/cpaa.2012.11.407 +[Abstract](1158) +[PDF](577.4KB)
Regularity criterion of the Newton-Boussinesq equations in $R^3$
Zhengguang Guo and Sadek Gala
2012, 11(2): 443-451 doi: 10.3934/cpaa.2012.11.443 +[Abstract](859) +[PDF](329.9KB)
Solutions for polyharmonic elliptic problems with critical nonlinearities in symmetric domains
Jingbo Dou and Qianqiao Guo
2012, 11(2): 453-464 doi: 10.3934/cpaa.2012.11.453 +[Abstract](1081) +[PDF](419.1KB)
Lyapunov-type inequalities for even order differential equations
Xiaofei He and X. H. Tang
2012, 11(2): 465-473 doi: 10.3934/cpaa.2012.11.465 +[Abstract](891) +[PDF](307.1KB)
Best asymptotic profile for the system of compressible adiabatic flow through porous media on quadrant
Shifeng Geng and Zhen Wang
2012, 11(2): 475-500 doi: 10.3934/cpaa.2012.11.475 +[Abstract](976) +[PDF](434.9KB)
The estimate of the multi-scale homogenization method for Green's function on Sobolev space $W^{1,q}(\Omega)$
Wen-ming He and Jun-zhi Cui
2012, 11(2): 501-516 doi: 10.3934/cpaa.2012.11.501 +[Abstract](820) +[PDF](399.4KB)
Nonradial positive solutions for a biharmonic critical growth problem
Zhongliang Wang
2012, 11(2): 517-545 doi: 10.3934/cpaa.2012.11.517 +[Abstract](1059) +[PDF](536.8KB)
Global solutions to quasilinear wave equations in homogeneous waveguides with Neumann boundary conditions
Jason Metcalfe and Jacob Perry
2012, 11(2): 547-556 doi: 10.3934/cpaa.2012.11.547 +[Abstract](813) +[PDF](349.0KB)
On the constants in a Kato inequality for the Euler and Navier-Stokes equations
Carlo Morosi and Livio Pizzocchero
2012, 11(2): 557-586 doi: 10.3934/cpaa.2012.11.557 +[Abstract](848) +[PDF](690.4KB)
The non-linear Schrödinger equation with non-periodic potential: infinite-bump solutions and non-degeneracy
Robert Magnus and Olivier Moschetta
2012, 11(2): 587-626 doi: 10.3934/cpaa.2012.11.587 +[Abstract](947) +[PDF](563.3KB)
On mappings of higher order and their applications to nonlinear equations
Dariusz Bugajewski and Piotr Kasprzak
2012, 11(2): 627-647 doi: 10.3934/cpaa.2012.11.627 +[Abstract](1064) +[PDF](420.9KB)
On the critical exponents for porous medium equation with a localized reaction in high dimensions
Zhilei Liang
2012, 11(2): 649-658 doi: 10.3934/cpaa.2012.11.649 +[Abstract](865) +[PDF](368.5KB)
Long-time dynamics in plate models with strong nonlinear damping
Igor Chueshov and Stanislav Kolbasin
2012, 11(2): 659-674 doi: 10.3934/cpaa.2012.11.659 +[Abstract](942) +[PDF](460.8KB)
On a heated incompressible magnetic fluid model
Youcef Amirat and Kamel Hamdache
2012, 11(2): 675-696 doi: 10.3934/cpaa.2012.11.675 +[Abstract](764) +[PDF](467.0KB)
On the blow-up boundary solutions of the Monge -Ampére equation with singular weights
Haitao Yang and Yibin Chang
2012, 11(2): 697-708 doi: 10.3934/cpaa.2012.11.697 +[Abstract](1009) +[PDF](144.3KB)
Rough solutions for the periodic Korteweg--de~Vries equation
Massimiliano Gubinelli
2012, 11(2): 709-733 doi: 10.3934/cpaa.2012.11.709 +[Abstract](878) +[PDF](530.7KB)
The moving boundary problem in a chemotaxis model
Hua Chen and Shaohua Wu
2012, 11(2): 735-746 doi: 10.3934/cpaa.2012.11.735 +[Abstract](861) +[PDF](328.6KB)
On the regularity of solutions to the Navier-Stokes equations
Vittorino Pata
2012, 11(2): 747-761 doi: 10.3934/cpaa.2012.11.747 +[Abstract](1120) +[PDF](437.7KB)
Global solutions to the incompressible magnetohydrodynamic equations
Xiaoli Li and Dehua Wang
2012, 11(2): 763-783 doi: 10.3934/cpaa.2012.11.763 +[Abstract](984) +[PDF](433.2KB)
Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings
Kaïs Ammari, Denis Mercier, Virginie Régnier and Julie Valein
2012, 11(2): 785-807 doi: 10.3934/cpaa.2012.11.785 +[Abstract](1053) +[PDF](452.1KB)
On the structure of the global attractor for non-autonomous dynamical systems with weak convergence
Tomás Caraballo and David Cheban
2012, 11(2): 809-828 doi: 10.3934/cpaa.2012.11.809 +[Abstract](1042) +[PDF](495.9KB)
Multi-bump solutions for a class of quasilinear equations on $R$
Claudianor O. Alves, Olímpio H. Miyagaki and Sérgio H. M. Soares
2012, 11(2): 829-844 doi: 10.3934/cpaa.2012.11.829 +[Abstract](838) +[PDF](408.5KB)
The supercooled Stefan problem in one dimension
Lincoln Chayes and Inwon C. Kim
2012, 11(2): 845-859 doi: 10.3934/cpaa.2012.11.845 +[Abstract](879) +[PDF](402.8KB)

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