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 2020-03-01 to 2024-03-01.)
ArticleCitations
Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature40
Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay11
Linear theory for a mixed operator with Neumann conditions10
Remarks on eigenvalue problems for fractional p ( · )-Laplacian9
Vanishing parameter for an optimal control problem modeling tumor growth8
Stability and exact controllability of a Timoshenko system with only one fractional damping on the boundary8
Solutions for parametric double phase Robin problems8
Decay properties and asymptotic profiles for elastic waves with Kelvin–Voigt damping in 2D7
Asymptotic expansion of the L 2 -norm of a solution of the strongly damped wave equation in space dimension 1 and 26
General decay results for a viscoelastic wave equation with a variable exponent nonlinearity6
Degenerate Kirchhoff-type fractional diffusion problem with logarithmic nonlinearity6
Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior6
Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach6
Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type5
A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞5
The spreading speed of an SIR epidemic model with nonlocal dispersal5
Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents5
On the existence and stability of a nonlinear wave system with variable exponents5
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations4
Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas4
On the Cauchy problem of a sixth-order Cahn–Hilliard equation arising in oil-water-surfactant mixtures4
Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary4
Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes4
Surface waves in a channel with thin tunnels and wells at the bottom: Non-reflecting underwater topography4
On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables4
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 nonlinearity3
Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis3
On a discrete scheme for time fractional fully nonlinear evolution equations3
Homogenization of the Poisson equation in a non-periodically perforated domain3
Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation3
Nonexistence for hyperbolic problems on Riemannian manifolds13
Homogenization and correctors of Robin problem for linear stochastic equations in periodically perforated domains3
On the weak Harnack inequality for the parabolic p ( x )-Laplacian3
On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions3
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions3
Null controllability of a penalized Stokes problem in dimension two with one scalar control3
Existence and asymptotic behavior of a parabolic equation with L 1 data3
Asymptotic analysis of a tumor growth model with fractional operators3
Nodal solutions for double phase Kirchhoff problems with vanishing potentials3
Characterization of the acoustic fields scattered by a cluster of small holes3
Existence result for a Neumann boundary value problem governed by a class of p ( x )-Laplacian-like equation3
Rayleigh and Stoneley waves in linear elasticity3
Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients3
Asymptotically vanishing nodal solutions for critical double phase problems3
Asymptotical analysis of a nonlinear Sturm–Liouville problem: Linearisable and non-linearisable solutions2
Singular elliptic problem involving a Hardy potential and lower order term2
Reduction of a damped, driven Klein–Gordon equation into a discrete nonlinear Schrödinger equation: Justification and numerical comparison2
Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations2
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases2
Spectral properties of Landau Hamiltonians with non-local potentials2
Oscillatory Breuer–Major theorem with application to the random corrector problem2
Spectral gaps in a double-periodic perforated Neumann waveguide2
On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation2
Higher order asymptotics for large deviations – Part I2
Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients2
Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition2
Vortex rigid motion in quasi-geostrophic shallow-water equations2
The Strassen invariance principle for certain non-stationary Markov–Feller chains2
Constructive approach to limit theorems for recurrent diffusive random walks on a strip2
Uniform attractors for the non-autonomous reaction-diffusion equations with delays2
Generalised Serre–Green–Naghdi equations for open channel and for natural river hydraulics2
On solutions for a class of Kirchhoff systems involving critical growth in R 22
Analytical studies for the Boiti–Leon–Monna–Pempinelli equations with variable and constant coefficients2
An inverse problem for the fractional porous medium equation2
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model2
On the fast convergence of random perturbations of the gradient flow2
Ground state solutions for nonlinear Choquard equations with inverse-square potentials12
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 dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations2
Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator2
Quaternionic structure and analysis of some Kramers–Fokker–Planck operators2
Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model2
Semiclassical resolvent estimates for short-range L ∞ potentials. II2
Boundary localization of transmission eigenfunctions in spherically stratified media2
The stiff Neumann problem: Asymptotic specialty and “kissing” domains2
On the approximation of vorticity fronts by the Burgers–Hilbert equation2
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems1
An optimal design problem with non-standard growth and no concentration effects1
Global existence of the 3D rotating second grade fluid system1
Optimal control of a model for brain lactate kinetics1
A note on a sinh-Poisson type equation with variable intensities on pierced domains1
A perturbed fractional p-Kirchhoff problem with critical nonlinearity1
Optimal memory-type boundary control of the Bresse system1
Large times existence for thin vibrating rods1
On the stationary nonlocal Cahn–Hilliard–Navier–Stokes system: Existence, uniqueness and exponential stability1
Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law1
Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics1
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction1
A generalization of the Freidlin–Wentcell theorem on averaging of Hamiltonian systems1
The three dimensional Maxwell equations with strongly anisotropic electric permittivity1
Convergence rates in almost-periodic homogenization of higher-order elliptic systems1
Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation1
Existence, uniqueness, and asymptotic stability results for the 3-D steady and unsteady Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions1
Ground state solutions of Schrödinger–Poisson systems with asymptotically constant potential1
Inverse resonance scattering on rotationally symmetric manifolds1
Asymptotic analysis of a junction of hyperelastic rods1
Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization1
Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval1
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded1
Positive solutions of 1-D half Laplacian equation with singular and exponential nonlinearity1
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise1
A strong maximum principle for mixed local and nonlocal p-Laplace equations1
Multi-scale analysis for wave problems with disparate propagation speeds1
σ-Evolution models with low regular time-dependent non-effective structural damping1
A uniformly valid model for the limiting behaviour of voltage potentials in the presence of thin inhomogeneities I. The case of an open mid-curve1
Blow-up results for a semilinear parabolic differential inequality in an exterior domain1
Lieb–Robinson bounds and growth of correlations in Bose mixtures1
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces1
On the spectral gap of higher-dimensional Schrödinger operators on large domains1
The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions1
Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation1
Asymptotic expansion of solutions to the wave equation with space-dependent damping1
Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping1
Asymptotic expansion of the transition density of the semigroup associated to a SDE driven by Lévy noise1
Asymptotic stability of stationary Navier–Stokes flow in Besov spaces1
Topological sensitivity analysis for a three-dimensional parabolic type problem1
Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field1
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result1
On dispersive estimates for one-dimensional Klein–Gordon equations1
Homogenization in the energy variable for a neutron transport model1
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data1
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
Sampling linear inverse problems with noise1
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes1
Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev–Gevrey spaces1
Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay1
A note on optimal L 2 -estimates of solutions to some strongly damped σ-evolution equations1
Nonlinear fractional damped wave equation on compact Lie groups1
Weakly nonlinear surface waves in magnetohydrodynamics. I1
Periodic unfolding for anisotropically bounded sequences1
Rate of convergence for periodic homogenization of convex Hamilton–Jacobi equations in one dimension1
Asymptotic behaviour of a linearized water waves system in a rectangle11
Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities1
Asymptotic behavior for Timoshenko systems with fractional damping1
Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping1
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
Global well-posedness of the 2-D magnetic Prandtl model in the Prandtl–Hartmann regime1
Eigenvalue spacing for 1D singular Schrödinger operators1
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces1
Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation1
Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides1
Stability estimates for an inverse Steklov problem in a class of hollow spheres1
Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case1
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms1
Combined effects of homogenization and singular perturbations: Quantitative estimates1
Two-scale homogenization of abstract linear time-dependent PDEs1
Crime pays; homogenized wave equations for long times1
On the degenerate Cahn–Hilliard equation: Global existence and entropy estimates of weak solutions1
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling1
On elliptic problems with Choquard term and singular nonlinearity1
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N1
On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction1
Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces1
Extended lifespan of the fractional BBM equation1
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