Asymptotic Analysis

Article	Citations
Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay	13
Asymptotic expansion of the L 2 -norm of a solution of the strongly damped wave equation in space dimension 1 and 2	9
Linear theory for a mixed operator with Neumann conditions	9
Solutions for parametric double phase Robin problems	8
Remarks on eigenvalue problems for fractional p ( · )-Laplacian	8
Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach	7
General decay results for a viscoelastic wave equation with a variable exponent nonlinearity	7
Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior	6
Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type	5
Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas	5
Existence result for a Neumann boundary value problem governed by a class of p ( x )-Laplacian-like equation	5
On the existence and stability of a nonlinear wave system with variable exponents	5
Nodal solutions for double phase Kirchhoff problems with vanishing potentials	5
Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes	5
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations	4
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions	4
On the Cauchy problem of a sixth-order Cahn–Hilliard equation arising in oil-water-surfactant mixtures	4
Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation	4
A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞	4
Separation property and convergence to equilibrium for the equation and dynamic boundary condition of Cahn–Hilliard type with singular potential	4
Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity	4
On the weak Harnack inequality for the parabolic p ( x )-Laplacian	4
Spectral gaps in a double-periodic perforated Neumann waveguide	4
Global existence of the 3D rotating second grade fluid system	3
Rate of convergence for periodic homogenization of convex Hamilton–Jacobi equations in one dimension	3

Homogenization of the Poisson equation in a non-periodically perforated domain	3
Approximate mixed synchronization by groups for a coupled system of wave equations	3
Asymptotically vanishing nodal solutions for critical double phase problems	3
On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions	3
Rayleigh and Stoneley waves in linear elasticity	3
Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients	3
Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis	3
An optimal design problem with non-standard growth and no concentration effects	3
Boundary localization of transmission eigenfunctions in spherically stratified media	3
The Strassen invariance principle for certain non-stationary Markov–Feller chains	2
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms	2
Crime pays; homogenized wave equations for long times	2
On solutions for a class of Kirchhoff systems involving critical growth in R 2	2
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model	2
Higher order asymptotics for large deviations – Part I	2
Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients	2
Two-scale homogenization of abstract linear time-dependent PDEs	2
Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound	2
Optimal stability for laminated beams with Kelvin–Voigt damping and Fourier’s law	2
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces	2
Constructive approach to limit theorems for recurrent diffusive random walks on a strip	2
Uniform attractors for the non-autonomous reaction-diffusion equations with delays	2
Existence, uniqueness, and asymptotic stability results for the 3-D steady and unsteady Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions	2
A note on optimal L 2 -estimates of solutions to some strongly damped σ-evolution equations	2
On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation	2
Nonlinear fractional damped wave equation on compact Lie groups	2
On the fast convergence of random perturbations of the gradient flow	2
On the approximation of vorticity fronts by the Burgers–Hilbert equation	2
Vortex rigid motion in quasi-geostrophic shallow-water equations	2
Singular elliptic problem involving a Hardy potential and lower order term	2
Global dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations	2
Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator	2
Generalised Serre–Green–Naghdi equations for open channel and for natural river hydraulics	2
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	2
An inverse problem for the fractional porous medium equation	2
The stiff Neumann problem: Asymptotic specialty and “kissing” domains	2
Asymptotic analysis of a junction of hyperelastic rods	2
Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case	2
Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay	2
On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle	2
Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations	2
Concavity principles for nonautonomous elliptic equations and applications	1
Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval	1
Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay	1
Periodic unfolding for anisotropically bounded sequences	1
Global existence of high-frequency solutions to a semi-linear wave equation with a null structure	1
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction	1
Multi-scale analysis for wave problems with disparate propagation speeds	1
Optimal control of a model for brain lactate kinetics	1
Convergence rates in almost-periodic homogenization of higher-order elliptic systems	1

Asymptotic behaviour of a linearized water waves system in a rectangle1	1
A perturbed fractional p-Kirchhoff problem with critical nonlinearity	1
Bound states of weakly deformed soft waveguides	1
On the stationary nonlocal Cahn–Hilliard–Navier–Stokes system: Existence, uniqueness and exponential stability	1
A note on a sinh-Poisson type equation with variable intensities on pierced domains	1
The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions	1
Lieb–Robinson bounds and growth of correlations in Bose mixtures	1
Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation	1
The three dimensional Maxwell equations with strongly anisotropic electric permittivity	1
On the behavior of least energy solutions of a fractional ( p , q ( p ) )-Laplacian problem as p goes to infinity	1
Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides	1
Cahn–Hilliard equation with regularization term	1
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	1
Sampling linear inverse problems with noise	1
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces	1
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded	1
Effective medium theory for second-gradient elasticity with chirality	1
A strong maximum principle for mixed local and nonlocal p-Laplace equations	1
Asymptotic stability of stationary Navier–Stokes flow in Besov spaces	1
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise	1
Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs	1
Transient response of a thin linearly elastic plate with Norton or Tresca friction	1
Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces	1
The sharp time decay rates and stability of large solutions to the two-dimensional Phan-Thien–Tanner system with magnetic field	1
On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction	1
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems	1
Large times existence for thin vibrating rods	1
Asymptotic expansion of solutions to the wave equation with space-dependent damping	1
Eigenvalue spacing for 1D singular Schrödinger operators	1
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions	1
Asymptotic expansion of the transition density of the semigroup associated to a SDE driven by Lévy noise	1
Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law	1
A generalization of the Freidlin–Wentcell theorem on averaging of Hamiltonian systems	1
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases	1
On dispersive estimates for one-dimensional Klein–Gordon equations	1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation	1
Weakly nonlinear surface waves in magnetohydrodynamics. I	1
Strongly compact strong trajectory attractors for evolutionary systems and their applications	1
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N	1
Inverse resonance scattering on rotationally symmetric manifolds	1
Extended lifespan of the fractional BBM equation	1
Global existence, asymptotic behavior and uniform attractor for a non-autonomous Timoshenko system of type III with weak damping	1
On asymptotic expansions for the fractional infinity Laplacian	1
Stability estimates for an inverse Steklov problem in a class of hollow spheres	1
Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev–Gevrey spaces	1
Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping	1
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations	1
On elliptic problems with Choquard term and singular nonlinearity	1
Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities	1
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data	1
Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 2 – Derivation of the macroscopic tridomain model by unfolding homogenization method	1
Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition	1
Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration	1
On the spectral gap of higher-dimensional Schrödinger operators on large domains	1
Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping	1
Optimal memory-type boundary control of the Bresse system	1
Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation	1
Ground state solutions of Schrödinger–Poisson systems with asymptotically constant potential	1
Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions	1
Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization	1
Combined effects of homogenization and singular perturbations: Quantitative estimates	1
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling	1
Competing power problem involving the half Laplacian	0
Recovery of a general nonlinearity in the semilinear wave equation	0
Existence of quasilinear elliptic equations with prescribed limiting behavior	0
On attractor’s dimensions of the modified Leray-alpha equation	0
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity	0
Comparison results for a nonlocal singular elliptic problem	0
Existence and concentration of ground state solutions for a class of fractional Schrödinger equations	0
Low and high energy solutions of oscillatory non-autonomous Schrödinger equations with magnetic field	0
Approximating a continuously stratified hydrostatic system by the multi-layer shallow water system	0
Multiplicity of solutions for a nonlocal nonhomogeneous Neumann boundary problem with two critical exponents	0
Stability for an Klein–Gordon equation type with a boundary dissipation of fractional derivative type	0
Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime	0
On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain	0
Large deviation for a 2D Allen–Cahn–Navier–Stokes model under random influences	0
Existence of solution to a Cahn–Hilliard equation	0
Thin ferromagnetic plates with magnetostriction	0
Born approximation and sequence for hyperbolic equations	0
Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols	0

Topological asymptotic expansion for the full Navier–Stokes equations	0
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity	0
Generalized Chern–Simons–Schrödinger system with critical exponential growth: The zero-mass case	0
Magnetic Kirchhoff–Schrödinger equations with critical exponential growth and indefinite potential in R 2	0
Approximation of Dirichlet-to-Neumann operator for a planar thin layer and stabilization in the framework of couple stress elasticity with voids	0
Convergence and stochastic homogenization of a class of two components nonlinear reaction–diffusion systems	0
Approximation of the long-time dynamics of the dynamical system generated by the Ericksen–Leslie equations	0
Spectrum of semiclassical Schrödinger operators for two-frequency resonance	0
The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates	0
Homogenization of a stochastic model of a single phase flow in partially fissured media	0
Spectral asymptotics for the Schrödinger operator with a non-decaying potential	0
Homogenization of an eigenvalue problem through rough surfaces	0
New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion	0
Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators	0
Smooth dynamics of a Timoshenko system with hybrid dissipation	0
Homogenization of elliptic PDE with L 1 source term in domains with boundary having very general oscillations	0
Stability and optimal decay rates for abstract systems with thermal damping of Cattaneo’s type	0
Boundary behavior of large solutions to a class of Hessian equations	0
Global existence and blow-up of solutions for mixed local and nonlocal hyperbolic equations	0
Semilinear hyperbolic inequalities with Hardy potential in a bounded domain	0
Dynamics and robustness for the 2D Navier–Stokes equations with multi-delays in Lipschitz-like domains	0
On a Cahn–Hilliard–Oono model for image segmentation	0
The Clausius–Mossotti formula	0
Singular limits of sign-changing weighted eigenproblems	0
Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space	0
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow	0
Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain	0
On the existence and evaluation of Stokes phenomena in fluid mechanics	0
Mathematical analysis of a penalisation strategy for incompressible elastodynamics	0
The truncated version of the laminated beam system	0
Homogenization and diffusion approximation of the Vlasov–Poisson–Fokker–Planck system: A relative entropy approach	0
Arched beams of Bresse type: New thermal couplings and pattern of stability	0
Global attractor for a hyperbolic Cahn–Hilliard equation with a proliferation term	0
A priori estimates for semistable solutions of p-Laplace equations with general nonlinearity	0
Asymptotic stability of stationary solutions for the Kirchhoff equation	0
Arbitrarily small nodal solutions for nonhomogeneous Robin problems	0
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations	0
Combined effects in planar quasilinear Schrödinger equations with superlinear reaction	0
Singular behavior for a multi-parameter periodic Dirichlet problem	0
On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics –	0
Concentration and multiple normalized solutions for a class of biharmonic Schrödinger equations1	0
Feeling boundary by Brownian motion in a ball	0
Dynamics of a ratio-dependent three-species food-chain system in a random environment	0
Polarization tensor vanishing structure of general shape: Existence for small perturbations of balls	0
Existence and non-existence results to a mixed anisotropic Schrödinger system in a plane	0
Nonlocal approximations to anisotropic Sobolev norms	0
Asymptotic analysis for elliptic equations with Robin boundary condition	0
Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension	0
Existence and regularity of solutions of nonlinear anisotropic elliptic problem with Hardy potential	0
Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity	0
Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain	0
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds	0
On the closedness and self-adjointness of 3 × 3 operator matrices and application to a non-relativistic three-channel potential scattering model	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
On decomposition of the fundamental solution of the Helmholtz equation over solutions of iterative parabolic equations	0
Adjoint method in PDE-based image compression	0
Ground state solution for the Schrödinger equation with Hardy potential and critical Sobolev exponent	0
Asymptotic analysis and upper semicontinuity with respect to delay term of attractors to binary mixtures of solids	0
Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds	0
Bifurcation from infinity and multiplicity results for an elliptic system from biology	0
Dynamics and regularity for non-autonomous reaction-diffusion equations with anomalous diffusion	0
On a class of infinite semipositone problems for ( p , q ) Laplace operator	0
An optimal control problem for diffusion–precipitation model	0
Existence results for the Landau–Lifshitz–Baryakhtar equation	0
Global regularity for Oldroyd-B model with only stress tensor dissipation	0
Integro-differential diffusion equations on graded Lie groups	0
Exponential stability for the coupled Klein–Gordon–Schrödinger equations with locally distributed damping in unbounded domains	0
Homogenization of a nonlinear elliptic system with a transport term in L 2	0
Asymptotic analysis of two-dimensional Oldroyd fluids in unbounded domains: Global attractors and their dimension	0
Stabilization for the Klein–Gordon–Zakharov system	0
Sharp eigenvalue asymptotics of fourth-order differential operators	0
Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system	0
Bloch dynamics with second order Berry phase correction	0
Topological asymptotic analysis for tumor identification problem	0
Membranes with thin and heavy inclusions: Asymptotics of spectra	0
Nodal solutions to ( p , q )-Laplacian equations with critical growth	0
Theories for incompressible rods: A rigorous derivation via Γ-convergence	0
Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping	0
Inverse resonance scattering for massless Dirac operators on the real line	0
Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R 1 + 1	0
Normalized solutions to a critical growth Choquard equation involving mixed operators	0
On a class of elliptic equations with critical perturbations in the hyperbolic space	0
Homogenization of a non-homogeneous heat conducting fluid	0
On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics	0
Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials	0
Asymptotic of the dissipative eigenvalues of Maxwell’s equations	0
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects	0
Existence and asymptotic behavior of solutions for Choquard equations with singular potential under Berestycki–Lions type conditions	0
Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs	0
Homogenization of a class of singular elliptic problems in two-component domains	0
Cahn–Hilliard system with proliferation term	0
Uniqueness for active scalar equations in a Zygmund space	0
Semiclassical resolvent bounds for short range L ∞ potentials with singularities at the origin	0
Continuous data assimilation for the three dimensional primitive equations with magnetic field	0
Haim Brezis (1944–2024)	0