NW 2022

CP1 Projection Methods for Spatially-Extended Neurobiological Models GW2 B2880
MS1 Instability of Sharp Interfaces in Singularly Perturbed Reaction Diffusion Equations GW2 B1400
MS2 Self-Similar Boundary Layers in the Maxwell-Bloch Systems GW2 B1405
MS2 Solitons and Soliton Interactions for the Complex Coupled Short-Pulse Equation GW2 B1405
MS3 Well-Posedness of KdV and NLS ibvp and the Fokas Method GW2 B1410 (a)
MS4 Analytic Theory of Wind-Driven Sea, Supported by Numerical Experiment GW2 B1410 (b)
MS5 Intracellular Partitioning Models for Cell Polarity GW2 B2890
MS6 Multipolar Boson Stars: Macroscopic Bose-Einstein Condensates Akin to Hydrogen Orbitals GW2 B2900

MS1 Stability of KPP-Type Fronts in Rosenzweig-MacArthur Model GW2 B1400
MS2 Manakov System with Parity Symmetry on Nonzero Background and Associated Boundary Value Problems GW2 B1405
MS2 Spin Generalizations of the Benjamin-Ono Equation GW2 B1405
MS3 Fokas Diagonalization GW2 B1410 (a)
MS4 Stationary Direct and Inverse Cascade Spectra in Wave Turbulence in Bose-Einsten Condensate GW2 B1410 (b)
MS5 Pressure-Driven Wrinkling of Soft Inner-Lined Tubes GW2 B2890
MS6 TBA GW2 B2900

CP1 Mechanochemical Models for Calcium Waves in Embryonic Epithelia GW2 B2880
MS1 Turing Instability via the Generalized Maslov Index GW2 B1400
MS2 Asymptotic Analysis of the Interaction Between a Soliton and a Regular Gas of Solitons GW2 B1405
MS3 Rigorous and Data-Driven Koopmanism: Spectral Computations for Nonlinear Systems GW2 B1410 (a)
MS4 Dynamic Mode Decomposition and Optimal Prediction GW2 B1410 (b)
MS5 Pattern Formation on a Finite Disk, Variational and Non Variational Case GW2 B2890
MS6 Virtual Levels of Nonselfadjoint Operators and the Limiting Absorption Principle GW2 B2900

MS1 Spectral Stability via the Maslov Index and Validated Numerics GW2 B1400
MS2 Propagation of Ultrashort Optical Pulse in a Two-Level Laser Amplifier GW2 B1405
MS3 Analytic Continuation of Solutions of Initial-Boundary Value Problems Outside the Domains GW2 B1410 (a)
MS4 Numerical Verification of Wave Turbulence Theory for the Quintic Nlse GW2 B1410 (b)
MS5 Turing Patterns in General $n$-component Reaction-Diffusion Equations Posed on Different Geometries GW2 B2890
MS6 Non-Commutative AKNS Hierarchies & Discretizations GW2 B2900

CP2 Some Case Examples of Existence, Stability and Dynamics of Rogue Wave Patterns GW2 B2880
MS10 Tba GW2 B1410 (b)
MS11 The Virtual Element Method for Bulk-Surface PDEs: Analysis and Application to Battery Modeling GW2 B2890
MS12 Optimal Control of Nonlinear Optical Waves GW2 B2900
MS7 Unfolding the Transition from Pushed to Pulled Front Propagation GW2 B1400
MS8 Wave Patterns in Higher-Order KP-I Lumps GW2 B1405
MS9 Time-Periodic Boundary Value Problems GW2 B1410 (a)

MS10 Exact Solutions of the Problem of Dynamics of a Fluid with a Free Surface Located Between Two Approaching Vertical Walls; Formation of Singularities GW2 B1410 (b)
MS11 Unified Framework for Localised Patterns in Reaction-Diffusion Models GW2 B2890
MS12 ODE Approximations to PDE Systems and Their Steady States GW2 B2900
MS7 Stability of Sharp Fronts - Computer Assisted Methods of Proof GW2 B1400
MS8 Breather and Rogue Wave Solutions to the Massive Thirring Model GW2 B1405
MS8 The Inverse Problem of Perturbed Kadomtsev-Petviashvili Multi-Line Soltions GW2 B1405
MS9 Time Trace Estimates for Schroedinger Type Equations and Their Control Theoretic Implication GW2 B1410 (a)

CP2 Time-Periodic Solutions of a Semilinear Wave Equation GW2 B2880
MS10 Effective Dispersion Relations and Linearization in Nonlinear Systems GW2 B1410 (b)
MS11 Sensing the Environment from Within: How Cellular Scales Integrate Long-Range Signals GW2 B2890
MS12 Free Boundary Problem for a Gas Bubble in a Liquid, and Asymptotic Stability of the Manifold of Spherically Symmetric Equilibria GW2 B2900
MS7 Convective Stability of a Monostable Front in Non-Linear Advection-Reaction Equations GW2 B1400
MS8 Self-Similar Boundary Layers in the Maxwell-Bloch Systems GW2 B1405
MS8 Solitons and Soliton Interactions for the Complex Coupled Short-Pulse Equation GW2 B1405
MS9 Revisiting Problems for Linear PDEs GW2 B1410 (a)

MS10 Collapse Vs. Blow Up and Global Existence in the Generalized Constantin-Lax-Majda Equation GW2 B1410 (b)
MS11 Coupling Passive Diffusion in Bounded Domains to Dynamically Active Boundaries GW2 B2890
MS12 Evolution of Quantum Information GW2 B2900
MS7 Nonlinear Stability and Asymptotic Behavior of Periodic Wave Trains in Reaction-Diffusion Systems Against C^2_{ub}-perturbations GW2 B1400
MS8 Manakov System with Parity Symmetry on Nonzero Background and Associated Boundary Value Problems GW2 B1405
MS8 Spin Generalizations of the Benjamin-Ono Equation GW2 B1405
MS9 Fokas’s Unified Transform for the Well-Posedness of Initial-Boundary Value Problems GW2 B1410 (a)

CP3 Probability Distribution of Extreme Events in a Baroclinic Wave Laboratory Experiment GW2 B2880
MS13 Spiral Waves in Nonlocal Oscillatory Media GW2 B1400
MS14 Nonlocal Nonlinear Schrodinger Equation: Riemann-Hilbert Approach and Large Time Asymptotics GW2 B1405
MS15 Inverse Scattering Transform and Soliton Solutions of the Complex Coupled Short-Pulse Equation GW2 B1410 (a)
MS16 Structure of Coherent Vortices in 2d Turbulence GW2 B1410 (b)
MS17 Tba GW2 B2890
MS18 Twist Waves in Nematic Liquid Crystals GW2 B2900

MS13 Dynamics and Equilibria of Vegetation Spot Patterns GW2 B1400
MS14 Integrability and Wave Instabilities: An Algebraic-Geometric Approach GW2 B1405
MS15 A Novel Two-Parameter Class of Finite-Band Potentials of the Non-Self-Adjoint Dirac Operator GW2 B1410 (a)
MS16 On the Dynamics and Generation of Optical Quartic Solitons GW2 B1410 (b)
MS17 The Hydrodynamics of Integrable Systems GW2 B2890
MS18 Novel Coherent Structures to Single- and Multi-Component NLS Systems: Theory and Computation GW2 B2900

CP3 Nonlinear Fourier Analysis of Rogue Waves in the Deep Ocean GW2 B2880
MS13 Pattern Selection of Hexagon Fronts and Patches Inside and Out of the Snaking Region GW2 B1400
MS14 Breather and Rogue Wave Solutions to the Massive Thirring Model GW2 B1405
MS14 The Inverse Problem of Perturbed Kadomtsev-Petviashvili Multi-Line Soltions GW2 B1405
MS15 The Closeness of the Ablowitz-Ladik Lattice to Non-Integrable DNLS Lattices GW2 B1410 (a)
MS16 Non-Gaussian Fluctuations for Laser Propagation in Random Media GW2 B1410 (b)
MS17 Recent Developments in the Spectral Theory of Soliton and Breather Gases GW2 B2890
MS18 Finding all Coherent Structures Supported by a Given Nonlinear Wave Equation GW2 B2900

CP4 Uniform Asymptotic Stability for Convection-Reaction-Diffusion Equations in the Inviscid Limit Towards Riemann Shocks GW2 B2880
MS19 Predictions of Spiral Wave Spectra in a Reaction-Diffusion System with a Rank-Deficient Diffusion Matrix GW2 B1400
MS20 Self-Assembly in Stratified Fluids GW2 B1405
MS21 A Riemann-Hilbert Approach to the Elastodynamic Equation. Half Plane GW2 B1410 (a)
MS22 On Single and Coupled Ostrovsky Equations GW2 B1410 (b)
MS23 Dispersive Hydrodynamics of Soliton Condensates for the KdV Equation GW2 B2890
MS24 Computer Assisted Proofs for Spiral Waves in the Complex Ginzburg-Landau Problem GW2 B2900

MS19 Stability of Multidimensional Periodic Waves of Reaction-Diffusion Systems GW2 B1400
MS20 Tba GW2 B1405
MS21 A Riemann-Hilbert Approach to the Elastodynamic Equation. Quarter Plane GW2 B1410 (a)
MS22 Tba GW2 B1410 (b)
MS23 Generalised Hydrodynamics of KdV Soliton Gas GW2 B2890
MS24 Rigorous Integrator for Higher Spatial Dimensional PDEs GW2 B2900

CP4 Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-Stable L\'evy Processes GW2 B2880
MS19 Pattern Formation for a Consumer Chain Model GW2 B1400
MS20 Tba GW2 B1405
MS21 Dirichlet-to-Neumann Map for Evolution PDEs on the Half-Line with Time-Periodic Boundary Conditions GW2 B1410 (a)
MS22 Dispersive Shock Waves in Lattices: A Dimension Reduction Approach GW2 B1410 (b)
MS23 Solitonic Model of the Condensate and the Problem of Modulation Instability Development GW2 B2890
MS24 A Computer-Assisted Existence Proof for the Navier-Stokes Problem on an Unbounded Strip Domain with an Obstacle GW2 B2900

PP1 A Parametric Basis for the Internal Wave Model Idemix 1st level foyer of GW2
PP1 Analysis of Kerr Frequency Combs in Silicon Microresonators 1st level foyer of GW2
PP1 Center Manifolds in Nonlocal Systems 1st level foyer of GW2
PP1 Compressible Navier-Stokes Equations with Heat Transfer by Finite Element Method 1st level foyer of GW2
PP1 Data-Driven AKNS Lax-Pair Identification Using Conserved Quantities 1st level foyer of GW2
PP1 Delayed Feedback Stabilization with and Without Symmetry 1st level foyer of GW2
PP1 Non-Stationary Radially Symmetric Patterns in a Three-Component FitzHugh-Nagumo System 1st level foyer of GW2
PP1 Oblique Stripes and Checkerboards in the Quenched Cahn-Hilliard Equation 1st level foyer of GW2
PP1 Orbital Stability and Quantisation in a Pilot-Wave System 1st level foyer of GW2
PP1 Rigorous Asymptotic Analysis and Numerics for 2D Maxwell's Equations with Interface 1st level foyer of GW2
PP1 Stability and Approximation of Dispersive Electromagnetic Surface Waves 1st level foyer of GW2
PP1 Stepsize Variations for Lyapunov Exponents to Counter Persistent Errors 1st level foyer of GW2

CP5 Time-Periodic Waves for a Quasilinear Wave Equation Based on a Kerr-Nonlinear Maxwell Model GW2 B2880
MS25 Bright and Dark Multi-Solitons in a Fourth-Order Nonlinear Schrödinger Equation GW2 B1400
MS27 A PDE Model for Unidirectional Flows: Stationary Profiles and Asymptotic Behaviour GW2 B1410 (a)
MS28 Travelling Waves in PT Nonlinear Metamaterials GW2 B1410 (b)
MS29 Soliton Gas Experiments in Optical Fibers and in Water Tank GW2 B2890
MS30 Uniqueness of Whitham's Highest Cusped Wave GW2 B2900

MS25 Extreme Superposition: High-Order Rogue Waves and Solitons, and Solutions Interpolating Between Them GW2 B1400
MS27 Slow Eigenvalue Problems for Regularised Shock Waves GW2 B1410 (a)
MS28 Tba GW2 B1410 (b)
MS29 Statistics of Extreme Events in Integrable Turbulence GW2 B2890
MS30 On Recent Progress in Blow-Up Solutions from the Viewpoint of Dynamical Systems: Theory and Rigorous Numerics GW2 B2900

CP5 Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating GW2 B2880
MS25 Stability and Dynamics of Capillary-Gravity Solitary Waves GW2 B1400
MS27 A Galerkin Approach to Slow Manifolds in Infinite Dimensions and Their Extension Around Non-Hyperbolic Singularities GW2 B1410 (a)
MS28 Tba GW2 B1410 (b)
MS29 Numerical Spectral Synthesis of Soliton and Breather Gas GW2 B2890
MS30 Global Dynamics and Finite Time Blowup in Nonconservative Nonlinear Schrödinger Equations GW2 B2900

MS25 Stability of Periodic Lugiato-Lefever Waves GW2 B1400
MS27 Diffusion on Networks: Singular Perturbations and Consensus Dynamics GW2 B1410 (a)
MS28 TBA GW2 B1410 (b)
MS29 Soliton Gases, Breather Gases, and Finite-Gap Solutions of Integrable Nonlinear Wave Equations GW2 B2890
MS30 Delays, Degenerate Hopf and Codimension-2 Bifurcations GW2 B2900

CP6 Kink-Breather Interaction in the Phi-4 Equation GW2 B2880
MS31 A Dissipative Nonlinear Schrodinger Model for Wave Propagation in Sea Ice GW2 B1400
MS32 Complex Geometric Optics Solutions to Dirac Problems GW2 B1405
MS33 How Actin Waves Drive Cellular Function GW2 B1410 (a)
MS34 Propagation Phenomena in Monostable Equation with General Nonlocal Operators GW2 B1410 (b)
MS35 Stochastic Patterns: From Translation to Rotation GW2 B2890
MS36 Existence of Approximate Localised Dihedral Patterns near a Turing Bifurcation GW2 B2900

MS31 A Perturbation Method for All Spectral Instabilities of Stokes Waves GW2 B1400
MS32 Long-Time Asymptotics for the 1d Cubic Nonlinear Schrödinger Equation with a Potential GW2 B1405
MS33 Stochastic Mass-Conserved Systems Model Travelling Waves Inside Crawling Amoeboid Cells GW2 B1410 (a)
MS34 Sharp Discontinuous Traveling Waves in a Hyperbolic Cell-Cell Repulsion Model GW2 B1410 (b)
MS35 Ergodicity of Stochastic Patterns GW2 B2890
MS36 Invasion into Remnant Instability: A Case Study of Front Dynamics GW2 B2900
MS43 New Ideas for the Zero-Dispersion Limit of the Benjamin-Ono Equation GW2 B1405

MS31 Existence Theory for Models of Fluid Flow in Viscoelastic Vessels GW2 B1400
MS32 Recent Developments in Spectral Theory of Focusing NLS Soliton Gases: Average Densities, Fluxes and Periodic Gases GW2 B1405
MS33 Waves on the Cell Surface GW2 B1410 (a)
MS34 A Look at the Effect of Local and Non-Local Directed Movement on the Survival of a Species Subject to an Allee Effect GW2 B1410 (b)
MS35 The One-Dimensional KPP Equation Driven by Space-Time White Noise GW2 B2890
MS36 Towards Controllable Chaotic Dynamics of Localised Structures GW2 B2900

MS31 Ill-Posed Waves GW2 B1400
MS32 Multi-Solitary Waves of the Benjamin-Ono Equation on the Line GW2 B1405
MS33 Oscillations in a Simple Polymerization Model GW2 B1410 (a)
MS34 2D Spatio-Temporal Patterns in Coupled Phase Oscillators: Spiral Waves and Chimeras GW2 B1410 (b)
MS35 Stochastic Speed Corrections for Non-Lipschitz Noise GW2 B2890
MS36 Stable Stripes in a Reaction-Diffusion Model GW2 B2900

CP7 Numerical Simulations of Surface Water Waves over a Shallow Seamount GW2 B2880
MS37 Stability of Waves on Fluid of Infinite Depth with Constant Vorticity GW2 B1400
MS38 Inverse Scattering and Asymptotics for the Sine-Gordon Equation and Massive Thirring Model GW2 B1405
MS39 Nonlinear Initiation of Side-Branching by Biochemical Morphogenesis GW2 B1410 (a)
MS40 Graphon Dynamical Systems: a Law of Large Numbers, Large Deviations, and Metastability GW2 B1410 (b)
MS41 Stabilization by Boundary Noise: Chafee-Infante Equation with Dynamical Boundary Conditions GW2 B2890
MS42 Gravity-Driven Thin Liquid Flow on Vertical Fibers: Experiments and Applications GW2 B2900

MS37 Stability Analysis of Solutions to the $b$-family of Peakon Equations GW2 B1400
MS38 Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy GW2 B1405
MS39 Mechanochemical Waves in Collective Cell Migration GW2 B1410 (a)
MS40 Pinning and Propagation Reversal on Infinite K-ary Trees GW2 B1410 (b)
MS41 Stochastic Slow Manifolds and Interface Motion GW2 B2890
MS42 Thermally-Driven Coalescence in Thin Liquid Films Flowing Down a Fiber GW2 B2900

CP7 Fate of Nonlinear Topological Edge States Delocalization in Mechanical Lattices GW2 B2880
MS37 Instabilities of Surface Water Waves GW2 B1400
MS38 Zero-Dispersion Limit for the Benjamin-Ono on the Torus GW2 B1405
MS39 Spatio-Temporal Heterogeneities in a Mechano-Chemical Model of Collective Cell Migration GW2 B1410 (a)
MS40 Pattern Formation in Random Networks Using Graphons GW2 B1410 (b)
MS41 Center Manifolds for Rough PDEs GW2 B2890
MS42 Modeling Plug Formation in Falling Films Inside Tubes: Impact of Surfactant and Viscosity Stratification GW2 B2900

MS37 Ripples GW2 B1400
MS38 Shielding of Soliton for the Focusing Nonliear Schroedinger Equation GW2 B1405
MS39 Moving Spiral Wave Chimeras GW2 B1410 (a)
MS40 Numerical Continuation for Fractional PDEs Within PDE2path GW2 B1410 (b)
MS41 Understanding Stochastic Waves in Cell Movement Models, from Gillespie Algorithms to (S)PDEs GW2 B2890
MS42 Onsager’s Principle, Variational Inequality for Two-Way Coupling Obstacle Problems GW2 B2900

CP8 Generation of Modulational Instabilities in an Architectural Flexible Elastic Metamaterial GW2 B2880
MS26 Porous Spheres Sedimenting in Stratification GW2 B1400
MS43 Quantization of Benjamin-Ono Periodic Traveling Waves GW2 B1405
MS44 Modelling and Controlling Vortex Dynamics in Active Fluids and Cardiac Tissue GW2 B1410 (a)
MS45 Generalising Symmetry via Quiver Representations: Equivariant Dynamics and Applications GW2 B1410 (b)

CP8 Waves in Loosely Bonded Smart Composite Structure with Micro-Scale Flexoelectricity GW2 B2880
MS26 Particle Settling in Stratified Highly Viscous Fluids GW2 B1400
MS43 Integrable Systems Governing KPZ Fixed Points GW2 B1405
MS44 A Particle-Field Approach Bridges Phase Separation and Collective Motion in Active Matter GW2 B1410 (a)
MS45 Coupled Cell Systems: Patterns of Synchrony, Quotients and Lifts GW2 B1410 (b)