Asymptotic Analysis

Article	Citations
Thin ferromagnetic plates with magnetostriction	9
Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain	5
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity	5
Asymptotic analysis of two-dimensional Oldroyd fluids in unbounded domains: Global attractors and their dimension	5
On the Cauchy problem of a sixth-order Cahn–Hilliard equation arising in oil-water-surfactant mixtures	5
The truncated version of the laminated beam system	5
Approximating a continuously stratified hydrostatic system by the multi-layer shallow water system	4
Concentration and multiple normalized solutions for a class of biharmonic Schrödinger equations1	4
Asymptotic analysis for elliptic equations with Robin boundary condition	4
Semiclassical resolvent bounds for short range L ∞ potentials with singularities at the origin	4
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations	4
Transient response of a thin linearly elastic plate with Norton or Tresca friction	4
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	4
Bound states of weakly deformed soft waveguides	3
Boundary localization of transmission eigenfunctions in spherically stratified media	3
Integro-differential diffusion equations on graded Lie groups	3
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction	3
Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system	3
An optimal control problem for diffusion–precipitation model	3
Stability estimates for an inverse Steklov problem in a class of hollow spheres	3
Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R1+1	2
Comparison results for a nonlocal singular elliptic problem	2
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	2
Smooth dynamics of a Timoshenko system with hybrid dissipation	2
Asymptotic stability of stationary Navier–Stokes flow in Besov spaces	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
Concavity principles for nonautonomous elliptic equations and applications	2
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations	2
On the existence and stability of a nonlinear wave system with variable exponents	2
Asymptotic expansion of solutions to the wave equation with space-dependent damping	2
Spectral asymptotics for the Schrödinger operator with a non-decaying potential	2
Asymptotic of the dissipative eigenvalues of Maxwell’s equations	2
Combined effects of homogenization and singular perturbations: Quantitative estimates	2
Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity	2
Spectral gaps in a double-periodic perforated Neumann waveguide	2
Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs	2
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces	2
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data	2
Ground state solution for the Schrödinger equation with Hardy potential and critical Sobolev exponent	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
Approximate mixed synchronization by groups for a coupled system of wave equations	2
Rayleigh and Stoneley waves in linear elasticity	2
Global regularity for Oldroyd-B model with only stress tensor dissipation	1
Recovery of a general nonlinearity in the semilinear wave equation	1
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms	1
Homogenization of a nonlinear elliptic system with a transport term in L2	1
The Clausius–Mossotti formula	1
Global attractor for a hyperbolic Cahn–Hilliard equation with a proliferation term	1
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions	1
Strongly compact strong trajectory attractors for evolutionary systems and their applications	1
Sharp eigenvalue asymptotics of fourth-order differential operators	1
Dynamics and robustness for the 2D Navier–Stokes equations with multi-delays in Lipschitz-like domains	1
Arbitrarily small nodal solutions for nonhomogeneous Robin problems	1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation	1
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases	1
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow	1
Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds	1
Approximation of Dirichlet-to-Neumann operator for a planar thin layer and stabilization in the framework of couple stress elasticity with voids	1
Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides	1
Linear theory for a mixed operator with Neumann conditions	1
On the closedness and self-adjointness of 3×3 operator matrices and application to a non-relativistic three-channel potential scattering model	1
Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes	1
Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions	1
Eigenvalue spacing for 1D singular Schrödinger operators	1
The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions	1
Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials	1
Nodal solutions to (p,q)-Laplacian equations with critical growth	1
Uniqueness for active scalar equations in a Zygmund space	1
Existence of quasilinear elliptic equations with prescribed limiting behavior	1
On a class of infinite semipositone problems for ( p , q ) Laplace operator	1
Mathematical analysis of a penalisation strategy for incompressible elastodynamics	1
Membranes with thin and heavy inclusions: Asymptotics of spectra	1
Cahn–Hilliard system with proliferation term	1
Bifurcation from infinity and multiplicity results for an elliptic system from biology	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

Haim Brezis (1944–2024)	1
The three dimensional Maxwell equations with strongly anisotropic electric permittivity	1
New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion	1
Existence and asymptotic behavior of solutions for Choquard equations with singular potential under Berestycki–Lions type conditions	1
On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain	1
Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration	1
Existence of solution to a Cahn–Hilliard equation	1
Approximate kink-kink solutions for the ϕ 6 model in the low-speed limit	1
Optimal L2-decay of solutions to a cubic dissipative nonlinear Schrödinger equation	1
Crime pays; homogenized wave equations for long times	1
Semilinear hyperbolic inequalities with Hardy potential in a bounded domain	1
Nonlocal approximations to anisotropic Sobolev norms	1
Existence and regularity of solutions of nonlinear anisotropic elliptic problem with Hardy potential	1
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds	1
Topological asymptotic expansion for the full Navier–Stokes equations	1
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity	1
Inverse resonance scattering for massless Dirac operators on the real line	1
Stability and optimal decay rates for abstract systems with thermal damping of Cattaneo’s type	1
An elliptic problem in dimension N with a varying drift term bounded in L N	0
Controllability of a thermoelastic system	0
The sharp time decay rates and stability of large solutions to the two-dimensional Phan-Thien–Tanner system with magnetic field	0
Asymptotic expansion of thick distributions II	0
The two-scale-transformation method	0
On decomposition of the fundamental solution of the Helmholtz equation over solutions of iterative parabolic equations	0
Stability for the 2D MHD equations with horizontal dissipation	0
Dynamics of a ratio-dependent three-species food-chain system in a random environment	0
Asymptotic behaviour of a linearized water waves system in a rectangle	0
Periodic unfolding for anisotropically bounded sequences	0
A perturbed fractional p-Kirchhoff problem with critical nonlinearity	0
Schrödinger–Poisson system with zero mass and convolution nonlinearity in R2	0
Semiclassical Birkhoff–Gustavson Normal Forms and Spectral Asymptotics for Nearly Resonant Schrödinger Operators	0
Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy	0
Collective motion driven by nutrient consumption	0
Asymptotic behaviour of some anisotropic problems	0
Global Regularity for the Inviscid Micropolar-Rayleigh-Bénard Convection System With Nonlinear Thermal Diffusion	0
Vanishing viscosity limit for Riemann solutions to a 2×2 hyperbolic system with linear damping	0
Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients	0
Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation	0
Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization	0
Spectral analysis of Euler–Bernoulli beam model with distributed damping and fully non-conservative boundary feedback matrix	0
Competing power problem involving the half Laplacian	0
Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay	0
Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential	0
The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary	0
The time horizon for stochastic homogenization of the one-dimensional wave equation	0
Global existence and asymptotic behavior of solutions to fractional (p,q)-Laplacian equations	0
On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials	0
Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval	0
Extinction in a finite time for solutions of a class of quasilinear parabolic equations	0
On the weak Harnack inequality for the parabolic p(x)-Laplacian	0
Dynamics for a class of energy beam models with rotational forces	0
Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities	0
A note on local energy decay results for wave equations with a potential	0
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise	0
Wave propagation in dilatant granular materials	0
A new perspective of exponential stability for Timoshenko systems under history and thermal effects	0
On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics	0
On the hyperbolic relaxation of the Cahn–Hilliard equation with a mass source	0
Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation	0
Stability for an Klein–Gordon equation type with a boundary dissipation of fractional derivative type	0
Semiclassical WKB problem for the non-self-adjoint Dirac operator with a multi-humped decaying potential	0
Singular behavior for a multi-parameter periodic Dirichlet problem	0
Singularities and asymptotic distribution of resonances for Schrödinger operators in one dimension	0
On a Cahn–Hilliard–Oono model for image segmentation	0
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces	0
Ground state solutions for the Hamilton–Choquard elliptic system with critical exponential growth	0
Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs	0
A note on a sinh-Poisson type equation with variable intensities on pierced domains	0
Continuous data assimilation for the three dimensional primitive equations with magnetic field	0
A Jacobi spectral method for calculating fractional derivative based on mollification regularization	0
Stabilization for the Klein–Gordon–Zakharov system	0
Trace Formulas for the Magnetic Laplacian and Dirichlet to Neumann Operator—Explicit Expansions	0
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model	0
Homogenization of a class of singular elliptic problems in two-component domains	0
Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition	0
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects	0
On upper semicontinuity of the Allen–Cahn twisted eigenvalues	0
Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension	0
A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p→∞	0
Asymptotic method and transient terms in exact controls	0

Ds,2(RN) versus C(RN) local minimizers	0
The stiff Neumann problem: Asymptotic specialty and “kissing” domains	0
Spectrum of semiclassical Schrödinger operators for two-frequency resonance	0
The porous medium equation as a singular limit of the thin film Muskat problem	0
Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces	0
Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques	0
Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type	0
Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law	0
Adjoint method in PDE-based image compression	0
On the Leray problem and the Poiseuille flow	0
An inverse problem for the fractional porous medium equation	0
A note on the one-dimensional critical points of the Ambrosio–Tortorelli functional	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
Homogenization of elliptic PDE with L1 source term in domains with boundary having very general oscillations	0
On the spectral gap of higher-dimensional Schrödinger operators on large domains	0
Singularity extraction for elliptic equations with coefficients with jumps and Dirac sources	0
Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms	0
Bifurcation and stability for charged drops	0
On the Boussinesq system with fractional memory in pseudo-measure spaces	0
Existence and concentration of ground state solutions for a class of fractional Schrödinger equations	0
A nonlinear Dirichlet problem involving terms with logarithmic growth	0
Exponential stability for a Timoshenko thermoelastic system with second sound and a time-varying delay term in the internal feedback	0
How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems	0
Approximation diffusion for the Nonlinear Schrödinger equation with a random potential	0
Approximation of the long-time dynamics of the dynamical system generated by the Ericksen–Leslie equations	0
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations	0
Bloch dynamics with second order Berry phase correction	0
Extended lifespan of the fractional BBM equation	0
Haim Brezis (1944–2024)	0
Homogenization of an eigenvalue problem through rough surfaces	0
The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation	0
Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term	0
Dynamics and regularity for non-autonomous reaction-diffusion equations with anomalous diffusion	0
Ground state of the Gross–Pitaevskii equation with a harmonic potential in the energy-critical case	0
Existence and non-existence results to a mixed anisotropic Schrödinger system in a plane	0
Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction	0
Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain	0
Constructive approach to limit theorems for recurrent diffusive random walks on a strip	0
Nonlinear fractional damped wave equation on compact Lie groups	0
On attractor’s dimensions of the modified Leray-alpha equation	0
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions	0
Magnetic Kirchhoff–Schrödinger equations with critical exponential growth and indefinite potential in R 2	0
On elliptic problems with Choquard term and singular nonlinearity	0
Asymptotic stability of stationary solutions for the Kirchhoff equation	0
Existence of Ground State Solutions for the Kirchhoff–Choquard Equation With Critical Exponent and External Coulomb Potential	0
Global solutions to coupled (Navier-)Stokes Newton systems in R3	0
Feeling boundary by Brownian motion in a ball	0
On the fast convergence of random perturbations of the gradient flow	0
Arched beams of Bresse type: New thermal couplings and pattern of stability	0
Nonlocal characterizations of variable exponent Sobolev spaces	0
Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation	0
Global existence of high-frequency solutions to a semi-linear wave equation with a null structure	0
Divergent sequence of nontrivial solutions for superlinear double phase problems	0
Kirchhoff problems with logarithmic double phase operator: Existence and multiplicity results	0
Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions	0
Refined Interpolation Inequality in Besov Spaces With Applications to the Gagliardo–Nirenberg Inequality	0
Global dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations	0
Limiting dynamics in one-dimensional porous-elasticity	0
Asymptotic analysis of a junction of hyperelastic rods	0
Locality properties of standard homogenization commutator	0
Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound	0
Renormalized energies for unit-valued harmonic maps in multiply connected domains	0
An optimal design problem with non-standard growth and no concentration effects	0
On the approximation of vorticity fronts by the Burgers–Hilbert equation	0
Internal layer intersecting the boundary of a domain in a singular advection–diffusion equation	0
Error estimates for Gaussian beams at a fold caustic	0
Non-trivial solutions for the fractional Schrödinger–Poisson system with p-Laplacian	0
Optimal control of a model for brain lactate kinetics	0
Optimal memory-type boundary control of the Bresse system	0
Global recovery of a time-dependent coefficient for the wave equation from a single measurement	0
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems	0
On the asymptotic behavior of the energy for evolution models with oscillating time-dependent damping	0
Controllability of some semilinear shadow reaction-diffusion systems	0
On a class of elliptic equations with critical perturbations in the hyperbolic space	0
Multiple solutions for some strongly degenerate second order elliptic equations	0
Elliptic homogenization with almost translation-invariant coefficients	0
“Gradient-free” diffuse approximations of the Willmore functional and Willmore flow	0
On the approximate controllability of parabolic problems with non-smooth coefficients	0
Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space	0
Exponential grow-up rates in a quasilinear Keller–Segel system	0
Decay characterization of solutions to incompressible Navier–Stokes–Voigt equations	0
Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping	0
The existences and asymptotic behavior of solutions to stochastic semilinear generalized Rayleigh–Stokes equation with delays	0
Normalized solutions to a critical growth Choquard equation involving mixed operators	0
Lieb–Robinson bounds and growth of correlations in Bose mixtures	0
Effective medium theory for second-gradient elasticity with chirality	0
Homogenization of a stochastic model of a single phase flow in partially fissured media	0
Existence results for the Landau–Lifshitz–Baryakhtar equation	0
Optimal convergence rate for homogenization of convex Hamilton–Jacobi equations in the periodic spatial-temporal environment	0
On the existence and evaluation of Stokes phenomena in fluid mechanics	0
Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity	0
Global existence and blow-up of solutions for mixed local and nonlocal hyperbolic equations	0
On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation	0
Asymptotic analysis and upper semicontinuity with respect to delay term of attractors to binary mixtures of solids	0
Pointwise Stabilization in the Laminated Beam Model	0