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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Volume 36,Number 8,     August 2016

Special issue dedicated to Peter D. Lax on the occasion of his ninetieth birthday

1

Preface    Pages : i - ii

Alexandre J. Chorin and Jeffrey Rauch

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2

Efficient representation and accurate evaluation of oscillatory integrals and functions    Pages : 4077 - 4100

Gregory Beylkin and Lucas Monzón

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3

Improved estimates for nonoscillatory phase functions    Pages : 4101 - 4131

James Bremer and Vladimir Rokhlin

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4

Low-dimensional Galerkin approximations of nonlinear delay differential equations    Pages : 4133 - 4177

Mickaël D. Chekroun,  Michael Ghil,  Honghu Liu and Shouhong Wang

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5

Transonic flows with shocks past curved wedges for the full Euler equations    Pages : 4179 - 4211

Gui-Qiang Chen,  Jun Chen and Mikhail Feldman

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6

The unsteady transonic small disturbance equation: Data on oblique curves    Pages : 4213 - 4225

Mary Chern and Barbara Lee Keyfitz

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7

Sampling, feasibility, and priors in data assimilation    Pages : 4227 - 4246

Alexandre J. Chorin,  Fei Lu,  Robert N. Miller,  Matthias Morzfeld and Xuemin Tu

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8

High-order finite-volume methods on locally-structured grids    Pages : 4247 - 4270

Phillip Colella

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9

Hyperbolic balance laws with relaxation    Pages : 4271 - 4285

Constantine M. Dafermos

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10

On the condition number of the critically-scaled Laguerre Unitary Ensemble    Pages : 4287 - 4347

Percy A. Deift,  Thomas Trogdon and Govind Menon

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11

A thermodynamic study of the two-dimensional pressure-driven channel flow    Pages : 4349 - 4366

Weinan E and Jianchun Wang

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12

On the stability of time-domain integral equations for acoustic wave propagation    Pages : 4367 - 4382

Charles L. Epstein,  Leslie Greengard and Thomas Hagstrom

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13

Mesh convergence for turbulent combustion    Pages : 4383 - 4402

Xiaoxue Gong,  Ying Xu,  Vinay Mahadeo,  Tulin Kaman,  Johan Larsson and James Glimm

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14

Hyperbolic boundary value problems with trihedral corners    Pages : 4403 - 4450

Laurence Halpern and Jeffrey Rauch

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15

Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients    Pages : 4451 - 4476

Thomas Y. Hou and Pengfei Liu

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16

On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity    Pages : 4477 - 4493

Xiangdi Huang and Zhouping Xin

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17

Global well-posedness of strong solutions to a tropical climate model    Pages : 4495 - 4516

Jinkai Li and Edriss Titi

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18

On the Betti numbers of level sets of solutions to elliptic equations    Pages : 4517 - 4529

Fanghua Lin and Dan Liu

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19

Paradoxical waves and active mechanism in the cochlea    Pages : 4531 - 4552

Mohammad T. Manzari and Charles S. Peskin

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20

A drift-diffusion model for molecular motor transport in anisotropic filament bundles    Pages : 4553 - 4567

Dietmar Oelz and Alex Mogilner

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21

The relative entropy method for the stability of intermediate shock waves; the rich case    Pages : 4569 - 4577

Denis Serre and Alexis F. Vasseur

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22

Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws    Pages : 4579 - 4598

Eitan Tadmor

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23

Numerical algorithms for stationary statistical properties of dissipative dynamical systems    Pages : 4599 - 4618

Xiaoming Wang

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