Periodic Solution and Stationary Distribution of Stochastic Predator–Prey Models with Higher-Order Perturbation Qun LiuDaqing Jiang OriginalPaper 22 September 2017 Pages: 423 - 442
A Nonlinear Diffusion Equation-Based Model for Ultrasound Speckle Noise Removal Zhenyu ZhouZhichang GuoBoying Wu OriginalPaper 22 September 2017 Pages: 443 - 470
Transition Manifolds of Complex Metastable Systems Andreas BittracherPéter KoltaiChristof Schütte OriginalPaper Open access 12 October 2017 Pages: 471 - 512
Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness M. MoriniV. Slastikov OriginalPaper Open access 11 October 2017 Pages: 513 - 542
Higher-Order Hamiltonian Model for Unidirectional Water Waves J. L. BonaX. CarvajalM. Scialom OriginalPaper 05 October 2017 Pages: 543 - 577
Short-Time Nonlinear Effects in the Exciton-Polariton System Cristi D. GuevaraStephen P. Shipman OriginalPaper 10 October 2017 Pages: 579 - 597
Derivation of Inviscid Quasi-geostrophic Equation from Rotational Compressible Magnetohydrodynamic Flows Young-Sam KwonYing-Chieh LinCheng-Fang Su OriginalPaper 26 October 2017 Pages: 599 - 620
Bounding Averages Rigorously Using Semidefinite Programming: Mean Moments of the Lorenz System David Goluskin OriginalPaper 17 November 2017 Pages: 621 - 651
Navier–Stokes–Voigt Equations with Memory in 3D Lacking Instantaneous Kinematic Viscosity Francesco Di PlinioAndrea GiorginiRoger Temam OriginalPaper 08 November 2017 Pages: 653 - 686
On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator Milan KordaIgor Mezić OriginalPaper 13 November 2017 Pages: 687 - 710
Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit Peter ConstantinVlad Vicol OriginalPaper 08 November 2017 Pages: 711 - 724
Stochastic Mean-Field Approach to Fluid Dynamics Simon Hochgerner OriginalPaper 13 November 2017 Pages: 725 - 737
The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation Xianguo GengHuan Liu OriginalPaper 21 November 2017 Pages: 739 - 763
Convergence to Equilibrium in Energy-Reaction–Diffusion Systems Using Vector-Valued Functional Inequalities Alexander MielkeMarkus Mittnenzweig OriginalPaper 27 November 2017 Pages: 765 - 806
On the Solutions of a \(2+1\)-Dimensional Model for Epitaxial Growth with Axial Symmetry Xin Yang Lu OriginalPaper 23 November 2017 Pages: 807 - 831