Asymptotic Analysis

Article	Citations
Asymptotic Behavior of Nonlocal Semilinear Degenerate Heat Equations With Degenerate Memory	12
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity	11
On Small Deviations of Exponential Functional of Brownian Motion With Applications	7
Dynamic Behavior of the Three-Dimensional Globally Modified Navier–Stokes Equations With Memory Term	7
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	6
Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity	5
Spectral gaps in a double-periodic perforated Neumann waveguide	5
Bound states of weakly deformed soft waveguides	4
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity	4
Cahn–Hilliard system with proliferation term	4
Convergence of the Nonlocal Allen–Cahn Equation to Mean Curvature Flow	4
Recovery of a general nonlinearity in the semilinear wave equation	4
Existence of quasilinear elliptic equations with prescribed limiting behavior	4
Global Regularity for the Inviscid Micropolar-Rayleigh-Bénard Convection System With Nonlinear Thermal Diffusion	3
Arched beams of Bresse type: New thermal couplings and pattern of stability	3
Magnetic Kirchhoff–Schrödinger equations with critical exponential growth and indefinite potential in R2	3
Asymptotic stability of stationary solutions for the Kirchhoff equation	3
Multiplicity and Concentration Results for Some Fractional Double Phase Choquard Equation with Exponential Growth	3
Perturbation Effects for Anisotropic Non-Autonomous Kirchhoff–Schrödinger Equations With Exponential Growth	3
Global existence and blow-up of solutions for mixed local and nonlocal hyperbolic equations	3
Global Mild Solutions to the 3D Boussinesq–Coriolis System With Caputo Time-Fractional Derivatives in Besov–Morrey Spaces	3
Asymptotic Behavior of Solutions to a Doubly Weighted Quasi-linear Equation	3
Dynamics of a ratio-dependent three-species food-chain system in a random environment	3
Singular behavior for a multi-parameter periodic Dirichlet problem	3
Non-trivial solutions for the fractional Schrödinger–Poisson system with p-Laplacian	2

Upscaled Equations for the Fokker–Planck Diffusion Through Arrays of Permeable and of Impermeable Inclusions	2
Pointwise Stabilization in the Laminated Beam Model	2
Topological sensitivity analysis for the 3D nonlinear Navier–Stokes equations	2
Regularity and Long-Time Behavior of Global Weak Solutions to a Coupled Cahn–Hilliard System: The Off-Critical Case	2
The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation	2
Wave Equation With Kelvin–Voigt and Frictional Damping: Analysis of Asymptotic Stability	2
Improved Error Bounds for Approximations of High-Frequency Wave Propagation in Nonlinear Dispersive Media	2
Haim Brezis (1944–2024)	2
Dynamics for a class of energy beam models with rotational forces	2
Stability for 2D Incompressible MHD Equations With Vertical Magnetic Dissipation and Vertical Velocity Damping Term	2
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling	2
Behaviour of large eigenvalues for the asymmetric quantum Rabi model	2
Revisiting Microlocal Analysis: A Bridge Between Fractal Cohomology and Classical Function Spaces	2
Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs	2
Well-Posedness and Long-Time Dynamics of a Water-Waves Model With Time-Varying Boundary Delay	2
Optimal Stabilization for Nonlinear Abstract Time-Delayed Viscoelastic Equations With Infinite Memory	2
Asymptotic Analysis at Any Order of Helmholtz’s Problem in a Corner With a Thin Layer: An Algebraic Approach	2
Semi-Classical Green Functions and Lagrangian Intersection. Applications to the Propagation of Bessel Beams in Non-Homogeneous Media	2
Existence and Finite Dimension of a Global Attractor for a Kirchhoff Wave Equation With a Memory Term and a Weak Damping	2
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in RN	2
Exponential Stabilization of an Euler-Bernoulli Beam by a Heat Equation Involving Memory Effects	2
Approximation diffusion for the Nonlinear Schrödinger equation with a random potential	2
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations	2
Solvability of the Nonlinear Plate Equations in Besov Spaces	2
Determination of Three-Dimensional Ladyzhenskaya Model with Shear-Dependent Viscosity	2
Asymptotic Dynamics and Singular Limit of Global Attractors for Thermoelastic Lamé Systems with Memory	1
On Fractional Pseudo-Parabolic Equations Involving Nonlocal Nonlinearities	1
Semiclassical WKB problem for the non-self-adjoint Dirac operator with a multi-humped decaying potential	1
An optimal control problem for diffusion–precipitation model	1
Decay characterization of solutions to incompressible Navier–Stokes–Voigt equations	1
Approximate mixed synchronization by groups for a coupled system of wave equations	1
The High Energy Distribution of Scattering Phase Shifts of Schrödinger Operators in Hyperbolic Space	1
Concentration and multiple normalized solutions for a class of biharmonic Schrödinger equations	1
Quantitative Homogenization for Log-Normal Coefficients via Malliavin Calculus: The One-Dimensional Case	1
Inverse resonance scattering for massless Dirac operators on the real line	1
Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension	1
On elliptic problems with Choquard term and singular nonlinearity	1
Dimension Reduction and Error Estimates	1
Ds,2(RN) versus C(RN) local minimizers	1
Stabilization for the Klein–Gordon–Zakharov system	1
Asymptotic behaviour of some anisotropic problems	1
Topological asymptotic expansion for the full Navier–Stokes equations	1
A note on the one-dimensional critical points of the Ambrosio–Tortorelli functional	1
N-Laplacian Coupled Systems With Stein–Weiss Type Convolutions Parts: Existence of Solutions, Asymptotic Behavior and Regularity	1
Least Energy Solutions and Infinitely Many Solutions for Klein–Gordon–Maxwell System With Exponential Growth	1
On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain	1
On the Boussinesq system with fractional memory in pseudo-measure spaces	1
Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system	1
Generalized Chern–Simons–Schrödinger system with critical exponential growth: The zero-mass case	1
Understanding Fractality: A Polyhedral Approach to the Koch Curve and Its Complex Dimensions	1

Boundary localization of transmission eigenfunctions in spherically stratified media	1
Global Existence of a Weak Martingale Solution to a Stochastic Nonlocal Cahn–Hilliard–Navier–Stokes Model	1
Multiple Solutions for the p-Laplacian Equation with Convection	1
Asymptotic Behavior of a Semilinear Wave Equation with Both Localized Memory and Delay Effects	1
A strong maximum principle for mixed local and nonlocal p -Laplace equations	1
“Gradient-free” diffuse approximations of the Willmore functional and Willmore flow	1
Sampling linear inverse problems with noise	1
Singularity extraction for elliptic equations with coefficients with jumps and Dirac sources	1
Approximate kink-kink solutions for the ϕ 6 model in the low-speed limit	1
How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems	1
Collective motion driven by nutrient consumption	1
Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain	1
W 0 1 , p ( Ω ) × W 0 1 , p ( Ω ) versus C 0 1 ( Ω ) × C 0 1 ( Ω ) local minimizers	1
Asymptotic of the dissipative eigenvalues of Maxwell’s equations	1
Exponential Stability for Piezoelectric Beam With Memory, Magnetic Effect, and Time-Varying Delay	1
Strongly compact strong trajectory attractors for evolutionary systems and their applications	1
New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion	1
Singular elliptic problem involving a Hardy potential and lower order term	1
Asymptotic expansion of solutions to the wave equation with space-dependent damping	1
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow	1
Ground state solutions for the Hamilton–Choquard elliptic system with critical exponential growth	1
Existence and Concentration of Positive Solutions for the Planar Choquard-Type Double-Phase Problems With Critical Exponential Growth	1
Normalized Solutions to the Mixed Fractional Schrödinger Equations With Potential and General Nonlinear Term	1
Elliptic homogenization with almost translation-invariant coefficients	1
Stability and optimal decay rates for abstract systems with thermal damping of Cattaneo’s type	1
On Fractional Orlicz Boundary Hardy Inequalities	1
Thin ferromagnetic plates with magnetostriction	1
Error estimates for Gaussian beams at a fold caustic	1
A General Framework for the Asymptotic Analysis of Moist Atmospheric Flows	0
Upper semicontinuity of pullback attractors for nonclassical diffusion equations with delay	0
Limiting dynamics in one-dimensional porous-elasticity	0
Derivation of the Nonlinear Shallow Water Equations Over Unsaturated Porous Media: A Discontinuous Galerkin Method for Coarse-Grained Beaches	0
The Lamé Equation on a Circle and Applications to Singular Limit Eigenvalue Problems	0
Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction	0
A Proposed Ollivier–Ricci–Bourguignon Type Flow	0
Integro-differential diffusion equations on graded Lie groups	0
Kirchhoff problems with logarithmic double phase operator: Existence and multiplicity results	0
Exponential stability for a Timoshenko thermoelastic system with second sound and a time-varying delay term in the internal feedback	0
Higher order evolution inequalities involving Leray–Hardy potential singular on the boundary	0
Numerical Stabilization Method by Switching Time-Delay	0
Front Propagation in Hybrid Reaction-Diffusion Epidemic Models With Spatial Heterogeneity. Part I: Spreading Speed and Asymptotic Behavior	0
Large Time Behavior of Exponential Surface Diffusion Flows on R	0
Spectrum, bifurcation and hypersurfaces of prescribed k -th mean curvature in Minkowski space	0
Stabilization with Decay Estimate for Second-Order Bilinear Systems with Time Delay	0
The Limiting Behavior of Constrained Minimizers in Variable Exponent Spaces	0
Singularly Perturbed Time-Periodic Eigenvalue Problems With Spectral Fractional Laplace Operators	0
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise	0
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions	0
Nonexistence Results for a Singular Quasilinear Anisotropic Equation	0
Semiclassical Birkhoff–Gustavson Normal Forms and Spectral Asymptotics for Nearly Resonant Schrödinger Operators	0
Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation	0
Control and Homogenization of a System of Coupled Parabolic Equations With an Oscillating Coefficient	0
Random Attractors for Non-Autonomous Benjamin–Bona–Mahony Equations Driven by Laplace Multiplier Noise in High-Dimensional Unbounded Channel	0
Internal layer intersecting the boundary of a domain in a singular advection–diffusion equation	0
Nodal solutions to (p,q)-Laplacian equations with critical growth	0
On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics	0
Global Bifurcation Theory for Fredholm Operator via Odd Crossing Number and Its Application	0
The LP-Regularity of Attractor for Three-Dimensional (3D) Navier–Stokes Equations With Damping	0
Periodic unfolding for anisotropically bounded sequences	0
Periodic Solutions of Chemotaxis-Fluid Systems on Real Hyperbolic Spaces	0
Global existence of high-frequency solutions to a semi-linear wave equation with a null structure	0
Nonlocal Schrödinger–Maxwell System Involving Fractional p-Laplacian With Singular Nonlinearity	0
Wave propagation in dilatant granular materials	0
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces	0
On a Cahn–Hilliard–Oono model for image segmentation	0
Ground state solutions for generalized quasilinear Schrödinger equations	0
Asymptotic Stability of Laminated Beams Under Maxwell–Cattaneo Thermoelastic Shear Effects	0
Homogenization of elliptic PDE with L1 source term in domains with boundary having very general oscillations	0
Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency	0
Modified Scattering for Small Data Solutions to the Vlasov–Maxwell System: A Short Proof	0
Stochastic Two-Scale Convergence in the Mean in Orlicz-Sobolev’s Spaces and Applications to the Homogenization of an Integral Functional	0
Homogenization of an eigenvalue problem through rough surfaces	0
Refined Interpolation Inequality in Besov Spaces With Applications to the Gagliardo–Nirenberg Inequality	0
ERRATUM to A Critical Nonlocal Double Phase Problem in the Heisenberg Group With a Modified Hardy Potential	0
On the hyperbolic relaxation of the Cahn–Hilliard equation with a mass source	0
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds	0
Infinite Boundary Value Problems for the p-Laplacian with Nonlinear Gradient Terms	0
Existence and asymptotic behavior of solutions for Choquard equations with singular potential under Berestycki–Lions type conditions	0
Global regularity for Oldroyd-B model with only stress tensor dissipation	0
Cahn–Hilliard equation with regularization term	0

An Operator-Asymptotic Approach to Periodic Homogenization for Equations of Linearized Elasticity	0
Infinitely Many Sign-Changing Solutions for Coupled Schrödinger System	0
Local Limit Theorem for Complex-Valued Sequences	0
Bifurcation and stability for charged drops	0
Normalized solutions to a critical growth Choquard equation involving mixed operators	0
Oscillation Theory and Eigenvalue Asymptotics for Sturm–Liouville Equations with Transfer Conditions	0
On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L1 data	0
Homogenization of a class of singular elliptic problems in two-component domains	0
A Kinetic Chemotaxis Model and Its Diffusion Limit in Slab Geometry	0
Stabilization of a locally transmission problems of two strongly-weakly coupled wave systems	0
On the asymptotic behavior of the energy for evolution models with oscillating time-dependent damping	0
Bifurcation from infinity and multiplicity results for an elliptic system from biology	0
Weak Mean Attractors and Invariant Measures of Fractional Stochastic Delay FitzHugh-Nagumo Systems on RN	0
On the spectral gap of higher-dimensional Schrödinger operators on large domains	0
Asymptotic Analysis of Elastic Elliptic Membrane Shells in Frictional Contact: Exploring Wear Phenomena	0
Approximate Internal Controllability and Synchronization for a System of Wave Equations With Coupled Robin Boundary Condition	0
Locality properties of standard homogenization commutator	0
Synchronization in a Quasilinear System Involving the (p1,p2)-Laplacian	0
Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay	0
Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy	0
Continuous data assimilation for the three dimensional primitive equations with magnetic field	0
Global solutions to coupled (Navier-)Stokes Newton systems in R3	0
A note on local energy decay results for wave equations with a potential	0
Global Existence for a Fractionally Damped Nonlinear Jordan–Moore–Gibson–Thompson Equation	0
Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term	0
Multiple Solutions for Sublinear Double Phase Problems	0
Eigenvalue Asymptotics Near a Flat Band in the Presence of a Slowly Decaying Potential	0
Quasilinear Elliptic Problems Via Nonlinear Rayleigh Quotient	0
Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques	0
Existence results for the Landau–Lifshitz–Baryakhtar equation	0
Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping	0
Optimal memory-type boundary control of the Bresse system	0
Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction	0
Normalized Solutions for the Choquard Equation With Potential: Concentration and Multiplicity	0
Dynamics and regularity for non-autonomous reaction-diffusion equations with anomalous diffusion	0
Optimal stability for laminated beams with Kelvin–Voigt damping and Fourier’s law	0
Cahn–Hilliard System Based on a Microforce Balance and An Unconstrained Order Parameter	0
Approximation of the long-time dynamics of the dynamical system generated by the Ericksen–Leslie equations	0
Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator	0
Homogenization of Boundary Optimal Control Problem Governed by Heat Equation in Domain With Rugose Boundary	0
A New Insight Into the Exponential Stabilization of Viscoelastic Timoshenko Systems With Fourier’s Law	0
The Optimal Time Decay Rates and Vanishing Limit for Three-Dimensional Incompressible Phan-Thien–Tanner and Oldroyd-B Systems in the Critical Besov Spaces	0
On a class of infinite semipositone problems for (p,q) Laplace operator	0
The existences and asymptotic behavior of solutions to stochastic semilinear generalized Rayleigh–Stokes equation with delays	0
Asymptotic Analysis of the Allen–Cahn Equation with Dynamic Boundary Conditions of Cahn–Hilliard Type	0
Combined effects in planar quasilinear Schrödinger equations with superlinear reaction	0
Existence of Ground State Solutions for the Kirchhoff–Choquard Equation With Critical Exponent and External Coulomb Potential	0
Asymptotics of the Divisor for the Good Boussinesq Equation	0
Approximation of Dirichlet-to-Neumann operator for a planar thin layer and stabilization in the framework of couple stress elasticity with voids	0
Polynomial stability of thermoelastic Timoshenko system with non-global time-delayed Cattaneo’s law	0
Optimal control of a model for brain lactate kinetics	0
Simultaneous Stabilization for a Nonlinear Porous-Elastic System Under the Effect of a Localized Nonlinear Damping	0
Ancient Solutions to the Allen–Cahn Equation in Catenoids	0
An inverse problem for the fractional porous medium equation	0
Dimension reduction and homogenization of composite plate with matrix pre-strain	0
Multivalued Random Dynamics of Fractional Reaction–Diffusion–AdvectionEquations Driven by Superlinear Colored Noise on Unbounded Domains	0
Stability of Thermoelastic Plates With Voids and Micro-Temperatures	0
Non-exponential and Polynomial Decay for a Shear Beam With a Gurtin–Pipkin Thermal Law Effective on the Bending Moment	0
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects	0
Sharp Spectral Gap of Adaptive Langevin Dynamics	0
On the Zero Capillarity Limit for the Euler–Korteweg System	0
Ground State Solutions for Choquard Equation With Indefinite Potential and Critical Exponential Growth	0
Concavity principles for nonautonomous elliptic equations and applications	0
Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain	0
From the Growth of Sobolev Norms to Analytic Radius Lower Bounds: The Benjamin–Bona–Mahony Equation	0
Trace Formulas for the Magnetic Laplacian and Dirichlet to Neumann Operator—Explicit Expansions	0
Controllability of a thermoelastic system	0
Singularities and Asymptotic Distribution of Resonances for Schrödinger Operators in One Dimension	0
Existence and non-existence results to a mixed anisotropic Schrödinger system in a plane	0
Semilinear hyperbolic inequalities with Hardy potential in a bounded domain	0
Stability of Traveling Waves in Noncooperative Systems With Nonlocal Dispersal of Equal Diffusivities	0
A Direct Construction of Solitary Waves for a Fractional Korteweg–de Vries Equation With an Inhomogeneous Symbol	0
Optimal convergence rate for homogenization of convex Hamilton–Jacobi equations in the periodic spatial-temporal environment	0
Existence of Ground State Solutions for Generalized Schrödinger–Poisson System	0
On a class of elliptic equations with critical perturbations in the hyperbolic space	0
A Jacobi spectral method for calculating fractional derivative based on mollification regularization	0
An Elliptic Quasilinear System With Coupled Exponential Nonlinearities	0
Large Time Behavior for the Classical Wave Equation With Different Regular Data and Its Applications	0
The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary	0
Homogenization Tools for the Routing Management Problem in Dense Networks With Transmission Defects	0
Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs	0
A perturbed fractional p -Kirchhoff problem with critical nonlinearity	0
On the Eigenvalues and Fučík Spectrum of p-Laplace Local and Nonlocal Operator With Mixed Interpolated Hardy Term	0
Adjoint method in PDE-based image compression	0
Existence result for a Neumann boundary value problem governed by a class of p(x)-Laplacian-like equation	0
On the distribution of Born transmission eigenvalues in the complex plane	0
Ground state of the Gross–Pitaevskii equation with a harmonic potential in the energy-critical case	0
On Least Energy Solutions to a Pure Neumann Lane–Emden System: Convergence, Symmetry Breaking, and Multiplicity	0
On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials	0
Asymptotic method and transient terms in exact controls	0
The time horizon for stochastic homogenization of the one-dimensional wave equation	0
A Result of Multiplicity of Nontrivial Solutions to an Elliptic Kirchhoff–Boussinesq Equation Type in RN	0
Well-Posedness and Exponential Stability for Boussinesq Systems on Real Hyperbolic Manifolds and Application	0
Controllability of some semilinear shadow reaction-diffusion systems	0
Haim Brezis (1944–2024)	0