Asymptotic Analysis

Papers
(The TQCC of Asymptotic Analysis is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)
ArticleCitations
Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay13
Asymptotic expansion of the L 2 -norm of a solution of the strongly damped wave equation in space dimension 1 and 29
Linear theory for a mixed operator with Neumann conditions9
Solutions for parametric double phase Robin problems8
Remarks on eigenvalue problems for fractional p ( · )-Laplacian8
Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach7
General decay results for a viscoelastic wave equation with a variable exponent nonlinearity7
Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior6
Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type5
Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas5
Existence result for a Neumann boundary value problem governed by a class of p ( x )-Laplacian-like equation5
On the existence and stability of a nonlinear wave system with variable exponents5
Nodal solutions for double phase Kirchhoff problems with vanishing potentials5
Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes5
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations4
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions4
On the Cauchy problem of a sixth-order Cahn–Hilliard equation arising in oil-water-surfactant mixtures4
Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation4
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 potential4
Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity4
On the weak Harnack inequality for the parabolic p ( x )-Laplacian4
Spectral gaps in a double-periodic perforated Neumann waveguide4
Global existence of the 3D rotating second grade fluid system3
Rate of convergence for periodic homogenization of convex Hamilton–Jacobi equations in one dimension3
Homogenization of the Poisson equation in a non-periodically perforated domain3
Approximate mixed synchronization by groups for a coupled system of wave equations3
Asymptotically vanishing nodal solutions for critical double phase problems3
On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions3
Rayleigh and Stoneley waves in linear elasticity3
Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients3
Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis3
An optimal design problem with non-standard growth and no concentration effects3
Boundary localization of transmission eigenfunctions in spherically stratified media3
The Strassen invariance principle for certain non-stationary Markov–Feller chains2
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms2
Crime pays; homogenized wave equations for long times2
On solutions for a class of Kirchhoff systems involving critical growth in R 22
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model2
Higher order asymptotics for large deviations – Part I2
Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients2
Two-scale homogenization of abstract linear time-dependent PDEs2
Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound2
Optimal stability for laminated beams with Kelvin–Voigt damping and Fourier’s law2
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces2
Constructive approach to limit theorems for recurrent diffusive random walks on a strip2
Uniform attractors for the non-autonomous reaction-diffusion equations with delays2
Existence, uniqueness, and asymptotic stability results for the 3-D steady and unsteady Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions2
A note on optimal L 2 -estimates of solutions to some strongly damped σ-evolution equations2
On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation2
Nonlinear fractional damped wave equation on compact Lie groups2
On the fast convergence of random perturbations of the gradient flow2
On the approximation of vorticity fronts by the Burgers–Hilbert equation2
Vortex rigid motion in quasi-geostrophic shallow-water equations2
Singular elliptic problem involving a Hardy potential and lower order term2
Global dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations2
Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator2
Generalised Serre–Green–Naghdi equations for open channel and for natural river hydraulics2
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result2
An inverse problem for the fractional porous medium equation2
The stiff Neumann problem: Asymptotic specialty and “kissing” domains2
Asymptotic analysis of a junction of hyperelastic rods2
Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case2
Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay2
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 obstacle2
Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations2
Concavity principles for nonautonomous elliptic equations and applications1
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded1
A strong maximum principle for mixed local and nonlocal p-Laplace equations1
Effective medium theory for second-gradient elasticity with chirality1
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction1
Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs1
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise1
Convergence rates in almost-periodic homogenization of higher-order elliptic systems1
The sharp time decay rates and stability of large solutions to the two-dimensional Phan-Thien–Tanner system with magnetic field1
Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces1
Bound states of weakly deformed soft waveguides1
Large times existence for thin vibrating rods1
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems1
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions1
Eigenvalue spacing for 1D singular Schrödinger operators1
Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law1
Asymptotic expansion of the transition density of the semigroup associated to a SDE driven by Lévy noise1
The three dimensional Maxwell equations with strongly anisotropic electric permittivity1
A generalization of the Freidlin–Wentcell theorem on averaging of Hamiltonian systems1
Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides1
On dispersive estimates for one-dimensional Klein–Gordon equations1
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes1
Weakly nonlinear surface waves in magnetohydrodynamics. I1
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces1
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N1
Extended lifespan of the fractional BBM equation1
Asymptotic stability of stationary Navier–Stokes flow in Besov spaces1
On asymptotic expansions for the fractional infinity Laplacian1
Global existence, asymptotic behavior and uniform attractor for a non-autonomous Timoshenko system of type III with weak damping1
Transient response of a thin linearly elastic plate with Norton or Tresca friction1
Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping1
Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev–Gevrey spaces1
On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction1
Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities1
On elliptic problems with Choquard term and singular nonlinearity1
Asymptotic expansion of solutions to the wave equation with space-dependent damping1
Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition1
Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 2 – Derivation of the macroscopic tridomain model by unfolding homogenization method1
On the spectral gap of higher-dimensional Schrödinger operators on large domains1
Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration1
Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping1
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases1
Optimal memory-type boundary control of the Bresse system1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation1
Ground state solutions of Schrödinger–Poisson systems with asymptotically constant potential1
Strongly compact strong trajectory attractors for evolutionary systems and their applications1
Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization1
Inverse resonance scattering on rotationally symmetric manifolds1
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling1
Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay1
Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval1
Stability estimates for an inverse Steklov problem in a class of hollow spheres1
Global existence of high-frequency solutions to a semi-linear wave equation with a null structure1
Periodic unfolding for anisotropically bounded sequences1
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations1
Optimal control of a model for brain lactate kinetics1
Multi-scale analysis for wave problems with disparate propagation speeds1
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data1
A perturbed fractional p-Kirchhoff problem with critical nonlinearity1
Asymptotic behaviour of a linearized water waves system in a rectangle11
A note on a sinh-Poisson type equation with variable intensities on pierced domains1
On the stationary nonlocal Cahn–Hilliard–Navier–Stokes system: Existence, uniqueness and exponential stability1
Lieb–Robinson bounds and growth of correlations in Bose mixtures1
The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions1
Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation1
Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation1
On the behavior of least energy solutions of a fractional ( p , q ( p ) )-Laplacian problem as p goes to infinity1
Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions1
Cahn–Hilliard equation with regularization term1
Combined effects of homogenization and singular perturbations: Quantitative estimates1
Sampling linear inverse problems with noise1
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