Asymptotic Analysis

Article	Citations
Bound states of weakly deformed soft waveguides	8
Spectral gaps in a double-periodic perforated Neumann waveguide	6
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction	6
Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity	6
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity	5
Rayleigh and Stoneley waves in linear elasticity	5
On Small Deviations of Exponential Functional of Brownian Motion With Applications	4
Asymptotic Behavior of Nonlocal Semilinear Degenerate Heat Equations With Degenerate Memory	4
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	4
Global Regularity for the Inviscid Micropolar-Rayleigh-Bénard Convection System With Nonlinear Thermal Diffusion	3
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity	3
Recovery of a general nonlinearity in the semilinear wave equation	3
Existence of quasilinear elliptic equations with prescribed limiting behavior	3
Magnetic Kirchhoff–Schrödinger equations with critical exponential growth and indefinite potential in R2	2
Asymptotic stability of stationary solutions for the Kirchhoff equation	2
Exponential Stabilization of an Euler-Bernoulli Beam by a Heat Equation Involving Memory Effects	2
Singular behavior for a multi-parameter periodic Dirichlet problem	2
Topological sensitivity analysis for the 3D nonlinear Navier–Stokes equations	2
Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term	2
Pointwise Stabilization in the Laminated Beam Model	2
Revisiting Microlocal Analysis: A Bridge Between Fractal Cohomology and Classical Function Spaces	2
Homogenization of a stochastic model of a single phase flow in partially fissured media	2
Multiplicity and Concentration Results for Some Fractional Double Phase Choquard Equation with Exponential Growth	2
Cahn–Hilliard system with proliferation term	2
Global existence and blow-up of solutions for mixed local and nonlocal hyperbolic equations	2

Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in RN	2
Upscaled Equations for the Fokker–Planck Diffusion Through Arrays of Permeable and of Impermeable Inclusions	2
Stability for 2D Incompressible MHD Equations With Vertical Magnetic Dissipation and Vertical Velocity Damping Term	2
Arched beams of Bresse type: New thermal couplings and pattern of stability	2
Feeling boundary by Brownian motion in a ball	2
Dynamics of a ratio-dependent three-species food-chain system in a random environment	2
On the weak Harnack inequality for the parabolic p(x)-Laplacian	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
Existence and Finite Dimension of a Global Attractor for a Kirchhoff Wave Equation With a Memory Term and a Weak Damping	2
Well-Posedness and Long-Time Dynamics of a Water-Waves Model With Time-Varying Boundary Delay	1
Sharp eigenvalue asymptotics of fourth-order differential operators	1
On upper semicontinuity of the Allen–Cahn twisted eigenvalues	1
Topological asymptotic expansion for the full Navier–Stokes equations	1
Dynamics for a class of energy beam models with rotational forces	1
The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation	1
Solvability of the Nonlinear Plate Equations in Besov Spaces	1
Inverse resonance scattering for massless Dirac operators on the real line	1
Coupled local/nonlocal models in thin domains	1
A strong maximum principle for mixed local and nonlocal p-Laplace equations	1
On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain	1
Normalized Solutions to the Mixed Fractional Schrödinger Equations With Potential and General Nonlinear Term	1
Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system	1
Error estimates for Gaussian beams at a fold caustic	1
Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain	1
On the closedness and self-adjointness of 3×3 operator matrices and application to a non-relativistic three-channel potential scattering model	1
Non-trivial solutions for the fractional Schrödinger–Poisson system with p-Laplacian	1
Homogenization of a nonlinear elliptic system with a transport term in L2	1
Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential	1
Global Existence of a Weak Martingale Solution to a Stochastic Nonlocal Cahn–Hilliard–Navier–Stokes Model	1
Approximation diffusion for the Nonlinear Schrödinger equation with a random potential	1
Semi-Classical Green Functions and Lagrangian Intersection. Applications to the Propagation of Bessel Beams in Non-Homogeneous Media	1
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces	1
N-Laplacian Coupled Systems With Stein–Weiss Type Convolutions Parts: Existence of Solutions, Asymptotic Behavior and Regularity	1
W 0 1 , p ( Ω ) × W 0 1 , p ( Ω ) versus C 0 1 ( Ω ) × C 0 1 ( Ω ) local minimizers	1
Thin ferromagnetic plates with magnetostriction	1
A note on the one-dimensional critical points of the Ambrosio–Tortorelli functional	1
Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs	1
Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension	1
Asymptotic of the dissipative eigenvalues of Maxwell’s equations	1
Stability and optimal decay rates for abstract systems with thermal damping of Cattaneo’s type	1
An optimal control problem for diffusion–precipitation model	1
New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion	1
Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions	1
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow	1
Regularity and Long-Time Behavior of Global Weak Solutions to a Coupled Cahn–Hilliard System: The Off-Critical Case	1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation	1
Haim Brezis (1944–2024)	1
Approximate mixed synchronization by groups for a coupled system of wave equations	1
Approximate kink-kink solutions for the ϕ 6 model in the low-speed limit	1

Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type	1
Collective motion driven by nutrient consumption	1
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations	1
Dimension Reduction and Error Estimates	1
Strongly compact strong trajectory attractors for evolutionary systems and their applications	1
Stabilization for the Klein–Gordon–Zakharov system	1
Improved Error Bounds for Approximations of High-Frequency Wave Propagation in Nonlinear Dispersive Media	1
Uniqueness for active scalar equations in a Zygmund space	1
The sharp time decay rates and stability of large solutions to the two-dimensional Phan-Thien–Tanner system with magnetic field	0
Elliptic homogenization with almost translation-invariant coefficients	0
On the approximation of vorticity fronts by the Burgers–Hilbert equation	0
Existence and asymptotic behavior of solutions for Choquard equations with singular potential under Berestycki–Lions type conditions	0
On the Hénon-type Elliptic Systems Driven by the (p,1)-Laplacian Operator: Symmetry Breaking	0
Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms	0
Integro-differential diffusion equations on graded Lie groups	0
Eigenvalue Asymptotics Near a Flat Band in the Presence of a Slowly Decaying Potential	0
Large times existence for thin vibrating rods	0
How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems	0
Front Propagation in Hybrid Reaction-Diffusion Epidemic Models With Spatial Heterogeneity. Part I: Spreading Speed and Asymptotic Behavior	0
Simultaneous Stabilization for a Nonlinear Porous-Elastic System Under the Effect of a Localized Nonlinear Damping	0
Concavity principles for nonautonomous elliptic equations and applications	0
Bifurcation from infinity and multiplicity results for an elliptic system from biology	0
On the Boussinesq system with fractional memory in pseudo-measure spaces	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
Singularities and Asymptotic Distribution of Resonances for Schrödinger Operators in One Dimension	0
Approximation of Dirichlet-to-Neumann operator for a planar thin layer and stabilization in the framework of couple stress elasticity with voids	0
Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound	0
On a Cahn–Hilliard–Oono model for image segmentation	0
Cahn–Hilliard equation with regularization term	0
The LP-Regularity of Attractor for Three-Dimensional (3D) Navier–Stokes Equations With Damping	0
On attractor’s dimensions of the modified Leray-alpha equation	0
On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L1 data	0
Singular elliptic problem involving a Hardy potential and lower order term	0
Polynomial stability of thermoelastic Timoshenko system with non-global time-delayed Cattaneo’s law	0
Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation	0
Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration	0
Wave propagation in dilatant granular materials	0
Asymptotic expansion of solutions to the wave equation with space-dependent damping	0
Existence result for a Neumann boundary value problem governed by a class of p(x)-Laplacian-like equation	0
The Limiting Behavior of Constrained Minimizers in Variable Exponent Spaces	0
Gevrey regularity and summability of the formal power series solutions of the inhomogeneous generalized Boussinesq equations	0
Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction	0
Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities	0
Trace Formulas for the Magnetic Laplacian and Dirichlet to Neumann Operator—Explicit Expansions	0
On a class of infinite semipositone problems for (p,q) Laplace operator	0
Extended lifespan of the fractional BBM equation	0
Ground state solutions for generalized quasilinear Schrödinger equations	0
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model	0
Periodic Solutions of Chemotaxis-Fluid Systems on Real Hyperbolic Spaces	0
Dimension reduction and homogenization of composite plate with matrix pre-strain	0
Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds	0
On Fractional Orlicz Boundary Hardy Inequalities	0
Effective medium theory for second-gradient elasticity with chirality	0
Existence results for the Landau–Lifshitz–Baryakhtar equation	0
New decay results for Timoshenko system in the light of the second spectrum of frequency with infinite memory and nonlinear damping of variable exponent type	0
Asymptotic behaviour of a linearized water waves system in a rectangle	0
An Operator-Asymptotic Approach to Periodic Homogenization for Equations of Linearized Elasticity	0
Concentration and multiple normalized solutions for a class of biharmonic Schrödinger equations	0
Sharp Spectral Gap of Adaptive Langevin Dynamics	0
Kirchhoff problems with logarithmic double phase operator: Existence and multiplicity results	0
Asymptotic behaviour of some anisotropic problems	0
Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition	0
Stochastic Two-Scale Convergence in the Mean in Orlicz-Sobolev’s Spaces and Applications to the Homogenization of an Integral Functional	0
Exponential stability for a Timoshenko thermoelastic system with second sound and a time-varying delay term in the internal feedback	0
Optimal control of a model for brain lactate kinetics	0
Boundary localization of transmission eigenfunctions in spherically stratified media	0
Limiting dynamics in one-dimensional porous-elasticity	0
The three dimensional Maxwell equations with strongly anisotropic electric permittivity	0
A perturbed fractional p-Kirchhoff problem with critical nonlinearity	0
Ground state of the Gross–Pitaevskii equation with a harmonic potential in the energy-critical case	0
Derivation of the Nonlinear Shallow Water Equations Over Unsaturated Porous Media: A Discontinuous Galerkin Method for Coarse-Grained Beaches	0
Local Limit Theorem for Complex-Valued Sequences	0
Homogenization of a class of singular elliptic problems in two-component domains	0
Least Energy Solutions and Infinitely Many Solutions for Klein–Gordon–Maxwell System With Exponential Growth	0
Infinite Boundary Value Problems for the p-Laplacian with Nonlinear Gradient Terms	0
Oscillation Theory and Eigenvalue Asymptotics for Sturm–Liouville Equations with Transfer Conditions	0
Spectral asymptotics for the Schrödinger operator with a non-decaying potential	0
Global regularity for Oldroyd-B model with only stress tensor dissipation	0
A nonlinear Dirichlet problem involving terms with logarithmic growth	0

Homogenization of an eigenvalue problem through rough surfaces	0
The two-scale-transformation method	0
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise	0
Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space	0
Generalized Chern–Simons–Schrödinger system with critical exponential growth: The zero-mass case	0
Dynamics and regularity for non-autonomous reaction-diffusion equations with anomalous diffusion	0
Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction	0
On the hyperbolic relaxation of the Cahn–Hilliard equation with a mass source	0
On the existence and evaluation of Stokes phenomena in fluid mechanics	0
Ancient Solutions to the Allen–Cahn Equation in Catenoids	0
“Gradient-free” diffuse approximations of the Willmore functional and Willmore flow	0
Higher order evolution inequalities involving Leray–Hardy potential singular on the boundary	0
Membranes with thin and heavy inclusions: Asymptotics of spectra	0
Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques	0
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data	0
Optimal L2-decay of solutions to a cubic dissipative nonlinear Schrödinger equation	0
Upper semicontinuity of pullback attractors for nonclassical diffusion equations with delay	0
On the Zero Capillarity Limit for the Euler–Korteweg System	0
Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy	0
Periodic unfolding for anisotropically bounded sequences	0
Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator	0
Semiclassical Birkhoff–Gustavson Normal Forms and Spectral Asymptotics for Nearly Resonant Schrödinger Operators	0
Semilinear hyperbolic inequalities with Hardy potential in a bounded domain	0
Approximation of the long-time dynamics of the dynamical system generated by the Ericksen–Leslie equations	0
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result	0
Internal layer intersecting the boundary of a domain in a singular advection–diffusion equation	0
An Elliptic Quasilinear System With Coupled Exponential Nonlinearities	0
Decomposition of the Displacements of a Plate With Very High Thickness Contrast	0
Understanding Fractality: A Polyhedral Approach to the Koch Curve and Its Complex Dimensions	0
Weak Mean Attractors and Invariant Measures of Fractional Stochastic Delay FitzHugh-Nagumo Systems on RN	0
Asymptotic analysis and upper semicontinuity with respect to delay term of attractors to binary mixtures of solids	0
Existence and Convergence of Ground State Solutions for a ( p , q )-Laplacian System on Weighted Graphs	0
On elliptic problems with Choquard term and singular nonlinearity	0
Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay	0
Cahn–Hilliard System Based on a Microforce Balance and An Unconstrained Order Parameter	0
An inverse problem for the fractional porous medium equation	0
Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain	0
Singularity extraction for elliptic equations with coefficients with jumps and Dirac sources	0
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions	0
Adjoint method in PDE-based image compression	0
Stability of Thermoelastic Plates With Voids and Micro-Temperatures	0
Decay characterization of solutions to incompressible Navier–Stokes–Voigt equations	0
The porous medium equation as a singular limit of the thin film Muskat problem	0
Haim Brezis (1944–2024)	0
Stability of Traveling Waves in Noncooperative Systems With Nonlocal Dispersal of Equal Diffusivities	0
On a class of elliptic equations with critical perturbations in the hyperbolic space	0
Controllability of some semilinear shadow reaction-diffusion systems	0
Asymptotics of the Divisor for the Good Boussinesq Equation	0
Homogenization of elliptic PDE with L1 source term in domains with boundary having very general oscillations	0
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects	0
Exponential Stability for Piezoelectric Beam With Memory, Magnetic Effect, and Time-Varying Delay	0
Smooth dynamics of a Timoshenko system with hybrid dissipation	0
Global recovery of a time-dependent coefficient for the wave equation from a single measurement	0
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations	0
Existence of solution to a Cahn–Hilliard equation	0
Semiclassical WKB problem for the non-self-adjoint Dirac operator with a multi-humped decaying potential	0
On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics	0
Bifurcation and stability for charged drops	0
Locality properties of standard homogenization commutator	0
An elliptic problem in dimension N with a varying drift term bounded in L N	0
Nonlocal approximations to anisotropic Sobolev norms	0
Sampling linear inverse problems with noise	0
Global existence of high-frequency solutions to a semi-linear wave equation with a null structure	0
Combined effects in planar quasilinear Schrödinger equations with superlinear reaction	0
A note on local energy decay results for wave equations with a potential	0
Lower Bound on the Radius of Analyticity of Solutions for Fourth-Order Nonlinear Schrödinger Equations on R2	0
Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term	0
The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary	0
A Direct Construction of Solitary Waves for a Fractional Korteweg–de Vries Equation With an Inhomogeneous Symbol	0
Eigenvalue spacing for 1D singular Schrödinger operators	0
Nonlinear fractional damped wave equation on compact Lie groups	0
Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency	0
Asymptotic Analysis of Elastic Elliptic Membrane Shells in Frictional Contact: Exploring Wear Phenomena	0
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds	0
Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization	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
A Jacobi spectral method for calculating fractional derivative based on mollification regularization	0
On the distribution of Born transmission eigenvalues in the complex plane	0
On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials	0
Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping	0
Existence and non-existence results to a mixed anisotropic Schrödinger system in a plane	0
Infinitely Many Sign-Changing Solutions for Coupled Schrödinger System	0
The time horizon for stochastic homogenization of the one-dimensional wave equation	0
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces	0
The truncated version of the laminated beam system	0
Ground state solutions for the Hamilton–Choquard elliptic system with critical exponential growth	0
The existences and asymptotic behavior of solutions to stochastic semilinear generalized Rayleigh–Stokes equation with delays	0
Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs	0
A Kinetic Chemotaxis Model and Its Diffusion Limit in Slab Geometry	0
Normalized solutions to a critical growth Choquard equation involving mixed operators	0
Ds,2(RN) versus C(RN) local minimizers	0
Existence of Ground State Solutions for the Kirchhoff–Choquard Equation With Critical Exponent and External Coulomb Potential	0
A New Insight Into the Exponential Stabilization of Viscoelastic Timoshenko Systems With Fourier’s Law	0
Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval	0