Juncheng Wei

,

SIAM J. Appl. Math., October, 2023

Existence and Stability of Localized Patterns in the Population Models with Large Advection and Strong Allee Effect.

[BibT_eX]

[DOI]

Fanze Kong

,

SIAM J. Math. Anal., August, 2023

Simulation and Driving Factor Analysis of Satellite-Observed Terrestrial Water Storage Anomaly in the Pearl River Basin Using Deep Learning.

[BibT_eX]

[DOI]

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,

,

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,

,

Remote. Sens., August, 2023

Generalized Adler-Moser Polynomials and Multiple Vortex Rings for the Gross-Pitaevskii Equation.

[BibT_eX]

[DOI]

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,

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SIAM J. Math. Anal., 2021

An Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer-Meinhardt Model: Existence, Linear Stability, and Slow Dynamics.

[BibT_eX]

[DOI]

Daniel Gomez

,

,

SIAM J. Appl. Math., 2021

Multi-spike Patterns in the Gierer-Meinhardt System with a Nonzero Activator Boundary Flux.

[BibT_eX]

[DOI]

Daniel Gomez

,

J. Nonlinear Sci., 2021

Nonhexagonal Lattices From a Two Species Interacting System.

[BibT_eX]

[DOI]

Senping Luo

,

,

SIAM J. Math. Anal., 2020

Multivortex Traveling Waves for the Gross-Pitaevskii Equation and the Adler-Moser Polynomials.

[BibT_eX]

[DOI]

Yong Liu

,

SIAM J. Math. Anal., 2020

The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model.

[BibT_eX]

[DOI]

Daniel Gomez

,

,

SIAM J. Appl. Dyn. Syst., 2019

Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate.

[BibT_eX]

[DOI]

,

SIAM Rev., 2018

Anomalous Scaling of Hopf Bifurcation Thresholds for the Stability of Localized Spot Patterns for Reaction-Diffusion Systems in Two Dimensions.

[BibT_eX]

[DOI]

J. C. Tzou

,

,

SIAM J. Appl. Dyn. Syst., 2018

Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates.

[BibT_eX]

[DOI]

Yujin Guo

,

Changshou Lin

,

SIAM J. Math. Anal., 2017

Delayed Reaction Kinetics and the Stability of Spikes in the Gierer-Meinhardt Model.

[BibT_eX]

[DOI]

Nabil T. Fadai

,

,

SIAM J. Appl. Math., 2017

Asymmetric and Symmetric Double Bubbles in a Ternary Inhibitory System.

[BibT_eX]

[DOI]

,

SIAM J. Math. Anal., 2014

Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model.

[BibT_eX]

[DOI]

Henri Berestycki

,

,

SIAM J. Math. Anal., 2014

Basic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth.

[BibT_eX]

[DOI]

,

,

Adam Alcolado

SIAM J. Appl. Math., 2014

Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction-Diffusion Systems in R2.

[BibT_eX]

[DOI]

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,

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J. Nonlinear Sci., 2014

Vortex Ring Pinning for the Gross-Pitaevskii Equation in Three-Dimensional Space.

[BibT_eX]

[DOI]

,

Jun Yang

SIAM J. Math. Anal., 2012

Triple Junction Solutions for a Singularly Perturbed Neumann Problem.

[BibT_eX]

[DOI]

Weiwei Ao

,

Monica Musso

,

SIAM J. Math. Anal., 2011

Stability of Spiky Solutions in a Competition Model with Cross-Diffusion.

[BibT_eX]

[DOI]

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SIAM J. Appl. Math., 2011

Stability of Spiky Solutions in a Reaction-Diffusion System with Four Morphogens on the Real Line.

[BibT_eX]

[DOI]

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SIAM J. Math. Anal., 2010

Vortex Solutions of the High-κ High-Field Ginzburg-Landau Model with an Applied Current.

[BibT_eX]

[DOI]

Qiang Du

,

,

Chunyi Zhao

SIAM J. Math. Anal., 2010

Toda system and cluster phase transition layers in an inhomogeneous phase transition model.

[BibT_eX]

[DOI]

,

Jun Yang

Asymptot. Anal., 2010

Homoclinic Solutions for Fourth Order Traveling Wave Equations.

[BibT_eX]

[DOI]

Sanjiban Santra

,

SIAM J. Math. Anal., 2009

Oval Shaped Droplet Solutions in the Saturation Process of Some Pattern Formation Problems.

[BibT_eX]

[DOI]

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SIAM J. Appl. Math., 2009

Stability of Curved Interfaces in the Perturbed Two-Dimensional Allen--Cahn System.

[BibT_eX]

[DOI]

David Iron

,

,

John Rumsey

,

SIAM J. Appl. Math., 2009

Spikes for the Gierer-Meinhardt System with Discontinuous Diffusion Coefficients.

[BibT_eX]

[DOI]

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J. Nonlinear Sci., 2009

Spot Self-Replication and Dynamics for the Schnakenburg Model in a Two-Dimensional Domain.

[BibT_eX]

[DOI]

,

,

J. Nonlinear Sci., 2009

Spherical Solutions to a Nonlocal Free Boundary Problem from Diblock Copolymer Morphology.

[BibT_eX]

[DOI]

,

SIAM J. Math. Anal., 2008

Orbital Stability of Bound States of Semiclassical Nonlinear Schrödinger Equations with Critical Nonlinearity.

[BibT_eX]

[DOI]

Tai-Chia Lin

,

SIAM J. Math. Anal., 2008

On a Fourth Order Nonlinear Elliptic Equation with Negative Exponent.

[BibT_eX]

[DOI]

Zongming Guo

,

SIAM J. Math. Anal., 2008

Mutually Exclusive Spiky Pattern and Segmentation Modeled by the Five-Component Meinhardt--Gierer System.

[BibT_eX]

[DOI]

,

SIAM J. Appl. Math., 2008

Single Droplet Pattern in the Cylindrical Phase of Diblock Copolymer Morphology.

[BibT_eX]

[DOI]

,

J. Nonlinear Sci., 2007

Resonance and Interior Layers in an Inhomogeneous Phase Transition Model.

[BibT_eX]

[DOI]

Manuel del Pino

,

Michal Kowalczyk

,

SIAM J. Math. Anal., 2006

Existence and Stability of Spherically Layered Solutions of the Diblock Copolymer Equation.

[BibT_eX]

[DOI]

,

SIAM J. Appl. Math., 2006

The Stability of a Stripe for the Gierer-Meinhardt Model and the Effect of Saturation.

[BibT_eX]

[DOI]

,

Wentao Sun

,

,

SIAM J. Appl. Dyn. Syst., 2006

Stationary solutions to a Keller-Segel chemotaxis system.

[BibT_eX]

[DOI]

Monica Musso

,

Asymptot. Anal., 2006

Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem.

[BibT_eX]

[DOI]

,

SIAM J. Math. Anal., 2005

On Bound States Concentrating on Spheres for the Maxwell-Schrödinger Equation.

[BibT_eX]

[DOI]

Teresa D'Aprile

,

SIAM J. Math. Anal., 2005

The Existence and Stability of Spike Patterns in a Chemotaxis Model.

[BibT_eX]

[DOI]

Brian D. Sleeman

,

,

SIAM J. Appl. Math., 2005

The existence and stability of spike equilibria in the one-dimensional Gray-Scott model on a finite domain.

[BibT_eX]

[DOI]

,

,

Appl. Math. Lett., 2005

On the Spectra of Three-Dimensional Lamellar Solutions of the Diblock Copolymer Problem.

[BibT_eX]

[DOI]

,

SIAM J. Math. Anal., 2003

Hopf Bifurcations and Oscillatory Instabilities of Spike Solutions for the One-Dimensional Gierer-Meinhardt Model.

[BibT_eX]

[DOI]

,

J. Nonlinear Sci., 2003

Soliton-Stripe Patterns in Charged Langmuir Monolayers.

[BibT_eX]

[DOI]

,

J. Nonlinear Sci., 2003

Triblock Copolymer Theory: Ordered ABC Lamellar Phase.

[BibT_eX]

[DOI]

,

J. Nonlinear Sci., 2003

A Nonlocal Eigenvalue Problem and the Stability of Spikes for Reaction-diffusion Systems with fractional Reaction Rates.

[BibT_eX]

[DOI]

,

Int. J. Bifurc. Chaos, 2003

Critical Threshold and Stability of Cluster Solutions for Large Reaction-Diffusion Systems in R1.

[BibT_eX]

[DOI]

,

SIAM J. Math. Anal., 2002

Spikes for the Two-Dimensional Gierer-Meinhardt System: The Weak Coupling Case.

[BibT_eX]

[DOI]

,

J. Nonlinear Sci., 2001

On the Multiplicity of Solutions of Two Nonlocal Variational Problems.

[BibT_eX]

[DOI]

,

SIAM J. Math. Anal., 2000

On a nonlocal Eigenvalue Problem and its Applications to Point-condensations in reaction-Diffusion Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2000

On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems.

[BibT_eX]

[DOI]

Manuel del Pino

,

Patricio Felmer

,