Asymptotic Analysis

Article	Citations
Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature	41
Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay	11
Linear theory for a mixed operator with Neumann conditions	9
Remarks on eigenvalue problems for fractional p ( · )-Laplacian	9
Solutions for parametric double phase Robin problems	8
Stability and exact controllability of a Timoshenko system with only one fractional damping on the boundary	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
Asymptotic expansion of the L 2 -norm of a solution of the strongly damped wave equation in space dimension 1 and 2	7
Degenerate Kirchhoff-type fractional diffusion problem with logarithmic nonlinearity	6
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
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 dispersal	5
Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents	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	4
Existence result for a Neumann boundary value problem governed by a class of p ( x )-Laplacian-like equation	4
On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables	4
On the Cauchy problem of a sixth-order Cahn–Hilliard equation arising in oil-water-surfactant mixtures	4
Surface waves in a channel with thin tunnels and wells at the bottom: Non-reflecting underwater topography	4
Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary	4
Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas	4
Existence and asymptotic behavior of a parabolic equation with L 1 data	4
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations	4

Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes	4
Separation property and convergence to equilibrium for the equation and dynamic boundary condition of Cahn–Hilliard type with singular potential	4
On the weak Harnack inequality for the parabolic p ( x )-Laplacian	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
Nonexistence for hyperbolic problems on Riemannian manifolds1	3
Asymptotically vanishing nodal solutions for critical double phase problems	3
Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity	3
Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis	3
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions	3
Homogenization of the Poisson equation in a non-periodically perforated domain	3
Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation	3
On the approximation of vorticity fronts by the Burgers–Hilbert equation	3
Homogenization and correctors of Robin problem for linear stochastic equations in periodically perforated domains	3
Characterization of the acoustic fields scattered by a cluster of small holes	3
On a discrete scheme for time fractional fully nonlinear evolution equations	3
Spectral gaps in a double-periodic perforated Neumann waveguide	3
Asymptotical analysis of a nonlinear Sturm–Liouville problem: Linearisable and non-linearisable solutions	3
Asymptotic analysis of a tumor growth model with fractional operators	3
Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients	3
Constructive approach to limit theorems for recurrent diffusive random walks on a strip	2
Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations	2
Uniform attractors for the non-autonomous reaction-diffusion equations with delays	2
Generalised Serre–Green–Naghdi equations for open channel and for natural river hydraulics	2
Oscillatory Breuer–Major theorem with application to the random corrector problem	2
Global existence of the 3D rotating second grade fluid system	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
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model	2
Semiclassical resolvent estimates for short-range L ∞ potentials. II	2
On the fast convergence of random perturbations of the gradient flow	2
Vortex rigid motion in quasi-geostrophic shallow-water equations	2
The Strassen invariance principle for certain non-stationary Markov–Feller chains	2
An optimal design problem with non-standard growth and no concentration effects	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
Quaternionic structure and analysis of some Kramers–Fokker–Planck operators	2
Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model	2
Combined effects of homogenization and singular perturbations: Quantitative estimates	2
An inverse problem for the fractional porous medium equation	2
A note on optimal L 2 -estimates of solutions to some strongly damped σ-evolution equations	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
The stiff Neumann problem: Asymptotic specialty and “kissing” domains	2
Two-scale homogenization of abstract linear time-dependent PDEs	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
Optimal control of a model for brain lactate kinetics	2
Reduction of a damped, driven Klein–Gordon equation into a discrete nonlinear Schrödinger equation: Justification and numerical comparison	2
Rate of convergence for periodic homogenization of convex Hamilton–Jacobi equations in one dimension	2
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases	2
Spectral properties of Landau Hamiltonians with non-local potentials	2

Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms	2
On solutions for a class of Kirchhoff systems involving critical growth in R 2	2
On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation	2
Crime pays; homogenized wave equations for long times	2
Boundary localization of transmission eigenfunctions in spherically stratified media	2
Higher order asymptotics for large deviations – Part I	2
Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition	2
Singular elliptic problem involving a Hardy potential and lower order term	2
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces	2
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
On the stationary nonlocal Cahn–Hilliard–Navier–Stokes system: Existence, uniqueness and exponential stability	1
Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case	1
Asymptotic expansion of the transition density of the semigroup associated to a SDE driven by Lévy noise	1
Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation	1
Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field	1
Weakly nonlinear surface waves in magnetohydrodynamics. I	1
Inverse resonance scattering on rotationally symmetric manifolds	1
Convergence rates in almost-periodic homogenization of higher-order elliptic systems	1
Positive solutions of 1-D half Laplacian equation with singular and exponential nonlinearity	1
Global existence, asymptotic behavior and uniform attractor for a non-autonomous Timoshenko system of type III with weak damping	1
Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound	1
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction	1
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems	1
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N	1
Nonlinear fractional damped wave equation on compact Lie groups	1
Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay	1
Multi-scale analysis for wave problems with disparate propagation speeds	1
Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping	1
Spectral analysis of Euler–Bernoulli beam model with distributed damping and fully non-conservative boundary feedback matrix	1
Blow-up results for a semilinear parabolic differential inequality in an exterior domain	1
Asymptotic behavior for Timoshenko systems with fractional damping	1
Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration	1
Global well-posedness of the 2-D magnetic Prandtl model in the Prandtl–Hartmann regime	1
The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions	1
Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping	1
Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation	1
A generalization of the Freidlin–Wentcell theorem on averaging of Hamiltonian systems	1
Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides	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
Cahn–Hilliard equation with regularization term	1
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	1
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data	1
Asymptotic expansion of solutions to the wave equation with space-dependent damping	1
Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval	1
Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization	1
Asymptotic stability of stationary Navier–Stokes flow in Besov spaces	1
Periodic unfolding for anisotropically bounded sequences	1
Extended lifespan of the fractional BBM equation	1
Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev–Gevrey spaces	1
A strong maximum principle for mixed local and nonlocal p-Laplace equations	1
Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces	1
σ-Evolution models with low regular time-dependent non-effective structural damping	1
A note on a sinh-Poisson type equation with variable intensities on pierced domains	1
Large times existence for thin vibrating rods	1
Optimal memory-type boundary control of the Bresse system	1
Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions	1
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions	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
Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation	1
Eigenvalue spacing for 1D singular Schrödinger operators	1
Topological sensitivity analysis for a three-dimensional parabolic type problem	1
The three dimensional Maxwell equations with strongly anisotropic electric permittivity	1
Ground state solutions of Schrödinger–Poisson systems with asymptotically constant potential	1
Bound states of weakly deformed soft waveguides	1
Stability estimates for an inverse Steklov problem in a class of hollow spheres	1
On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction	1
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling	1
On the degenerate Cahn–Hilliard equation: Global existence and entropy estimates of weak solutions	1
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces	1
Asymptotic analysis of a junction of hyperelastic rods	1
Sampling linear inverse problems with noise	1
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise	1
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded	1
On elliptic problems with Choquard term and singular nonlinearity	1
On asymptotic expansions for the fractional infinity Laplacian	1
Asymptotic behaviour of a linearized water waves system in a rectangle1	1
A perturbed fractional p-Kirchhoff problem with critical nonlinearity	1
Lieb–Robinson bounds and growth of correlations in Bose mixtures	1
Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities	1

On the spectral gap of higher-dimensional Schrödinger operators on large domains	1
Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics	1