Applicable Analysis

Papers
(The TQCC of Applicable Analysis is 2. 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Uniform convergence of the LDG method for singularly perturbed problems46
Periodic solutions of a fractional Schrödinger equation39
Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations31
Existence of a weak solution to a generalized Riemann-type hydrodynamical equation24
Shock wave interactions for a rate-type material model23
Analysis of a delayed spatiotemporal model of HBV infection with logistic growth22
Uniform attractors for 3D MHD equations with nonlinear damping21
Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations17
Synchronization phenomena in thermoelastic waves connected in parallel16
Global stability and non-vanishing vacuum states of 3D compressible magnetohydrodynamic equations16
Blow-up versus scattering below the mass-energy threshold for NLH with a potential15
Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model14
Global well-posedness and large time behavior for the 3D magneto-micropolar equations14
Simultaneous identification of the random source term and the initial value for the stochastic Caputo-Hadamard time-fractional diffusion equation13
On the solvability of anisotropic non-coercive problems with Neumann boundary conditions13
Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces13
Solvability of two immiscible fluid flows over an obstacle11
Global well-posedness of strong solutions for the non-isentropic compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions10
Uniform bounds and asymptotic behavior for nonlinear parabolic equations with absorption terms10
Orbital stability of solitary wave for the Zakharov equation with cubic-quintic nonlinearity9
Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential9
Long wavelength limit of the KP-type equation for the ion dynamics system9
Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach9
Fourth-order nonlinear Schrödinger equations in an exterior domain8
Inversion of the exponential X-ray transform of symmetric 2-tensors8
The shearlet transform and asymptotic behavior of Lizorkin distributions7
Stability of a class of parabolic equations in non-cylindrical domains7
On new refinement of the Jensen inequality using uniformly convex functions with applications7
General decay of the Cauchy problem for α -evolution models with β -memory term7
Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions7
Stabilization of a thermoelastic diffusion system of type II damped and delayed6
On the blow-up of the inhomogeneous nonlinear Schrödinger equation with power-type perturbation6
Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation6
Multiplicity of solutions for Kirchhoff type equations with critical growth in ℝ N 6
Smooth traveling waves for doubly nonlinear degenerate diffusion equations with time delay6
Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities6
Hilbert expansion of Boltzmann equations for gas mixture6
Dipolar Komatu–Loewner differential equation6
Non-existence of stationary solutions for a cross-diffusion food web model with cycle6
On the Cauchy problem of the MGT-viscoelastic plate with heat conduction of Fourier law5
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium5
On limit connection between two problems of complex heat exchange5
Necessary optimality conditions for nonsmooth multiobjective bilevel programs using the Drummond-Svaiter functional5
Uniform convergence of the one-dimensional cubic Schrödinger equation5
Propagation of transient acoustic waves in a cancellous bone revisited5
The perturbed Riemann problem for the Chaplygin pressure Aw–Rascle model with Coulomb-like friction5
Global dynamics of a differential-difference diffusive SIR model with Dirichlet boundary conditions5
Higher-order approximate solutions of singularly perturbed problems with multiple turn points5
Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games5
On concentration of solutions for quasilinear Schrödinger equations with critical growth in the plane5
Turing instabilities in a glycolysis reaction-diffusion system4
The backward problem of a stochastic PDE with bi-harmonic operator driven by fractional Brownian motion4
Uniqueness of non-negative solutions to an integral equation of the Choquard type4
The multidimensional coagulation and collisional breakage equation with unbounded kernel4
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems4
On the fractional PQ laplace operator with weights4
Well-posedness for Euler-Fourier system with damping in the critical space4
Stability of some recent exact solutions to the three-dimensional geophysical Euler equations4
Finite-time blow-up on a volume-filling attraction–repulsion system4
Limiting dynamics of stochastic heat equations with memory on thin domains4
Semilinear elliptic problems via the nonlinear Rayleigh quotient with two nonlocal nonlinearities4
Heisenberg–Pauli–Weyl uncertainty principle for ambiguity function4
Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers4
The first 50 years for applicable analysis4
A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems4
Normalized solutions to the Sobolev critical Kirchhoff-type equation with non-trapping potential4
Asymptotic analysis for non-local problems in composites with different imperfect contact conditions4
Global well-posedness of fractional 3D magneto-micropolar fluid equations in variable-exponent Fourier–Besov–Morrey spaces4
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions3
Quadratic coupled Schrödinger systems with sign-changing potential3
Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure3
Well-posedness and exponential stability of coupled non-degenerate Kirchhoff and heat equations3
Attractors for partially damped systems of binary mixtures of solids3
On the univalence of certain polyharmonic mappings under differential operator3
Bernstein polynomial for solving third kind VIEs with nonlinear vanishing delays3
Asymptotic stability for stochastic elastic systems with damping3
Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions3
A homogenization approach to the effect of surfactant concentration and interfacial slip on the flow past viscous drops3
On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain3
On the existence and uniqueness of solutions of thermo-poroelastic media saturated by two-phase fluids3
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity3
Qualitative analysis of a stock-effort parabolic model incorporating marine reserve3
A Nekhoroshev-type theorem for the nonlinear Schrödinger equations on the d -dimensional torus3
Inversion formula for the windowed linear canonical transform3
H 2 -solutions for an Ostrosky–Hunter type equation3
Mathematical model of cancer with radiotherapy and chemotherapy treatments3
Existence results for a nonlinear neutron transport equation with elastic and inelastic collision operators in L p 3
Finitely degenerate pseudo-parabolic equations with logarithmic nonlinearity3
Well-posedness of multidimensional semi-infinite variational inequalities with applications3
An inverse problem for the system modeling nonhomogeneous asymmetric fluids3
A study on a class of weighted elliptic problems with indefinite nonlinearities3
Blow-up time analysis of parabolic equations with variable nonlinearities3
On a compressible diffuse interface model for immiscible mixtures of liquid crystal and viscous fluid3
Null controllability of some stochastic complex parabolic equations with singular potentials3
Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity3
Fibre homogenisation for time-dependent problems2
Reducible–KAM torus for two dimensional completely resonant reversible quintic Schrödinger systems2
Optimal control of Gao beam contact with double Signorini conditions2
The Fourier–Bessel method for the inverse scattering problem of cavities2
Blow-up of positive solutions for the semilinear heat equation with a potential2
Global well-posedness for a chemotaxis-fluid system with two chemicals in Besov-Morrey spaces2
Radially symmetric solutions of the nonlinear Neumann problem for the prescribed mean curvature equation in standard static spacetime2
Existence and optimality in discrete and differential inclusions for the Bolza problem2
Pressure behavior and wave height estimates for steady periodic equatorial water waves2
Multiple tsunami waves of the fractional geophysical KdV equation2
Dynamics of periodic fractional discrete NLS in the continuum limit2
Existence results of singular Toda system with several critical parameters2
Singular p(x) -Laplacian equation with application to boundary layer theory2
On an incompressible inertial nematic electrolyte model of liquid crystal flow2
The asymptotic behavior of Riemann solutions for the Aw-Rascle-Zhang traffic flow model with the polytropic and logarithmic combined pressure term2
Quasi-periodic solutions for a class of wave equation system2
Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems2
Local error estimates and post processing for the Galerkin BEM on polygons2
Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation2
Finite time stability and relative controllability of fractional oscillation systems with pure delay2
The decay rate of solutions to some second-order evolution equations with the nonlinear supercritical damping term2
Optimization of discrete and differential inclusions with multiple delays2
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions2
On the relevance of the Rosenau-type equations for nonlinear wave propagation in one-dimensional lattices2
Monotone iterative technique for delay elastic systems in ordered Banach space2
Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction2
Uniqueness and stabilized algorithm for an inverse problem of identifying space-time dependent diffusion coefficients2
Blow-up of a quasi-linear pseudo-parabolic equation with critical initial energy2
Constant vorticity two-layer flows over variable bottom at arbitrary latitude2
Strong waves for epidemic model with time-space delay and multiple infectious stages2
Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α -weight2
Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect2
Estimates of the solution of the Stokes problem in an L -shaped structure2
Nonexistence of global weak solutions for strongly damped p –Laplacian wave equations with logarithmic source terms2
On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation2
Spreading speed of a lattice time-periodic Lotka–Volterra competition system with bistable nonlinearity2
Boundary determination of coefficients appearing in a perturbed weighted p -Laplace equation2
New results concerning a singular biharmonic equations with p -Laplacian and Hardy potential2
Necessary conditions of the occurrence of chaotic vibrations in the wave equations2
The local well-posedness for the dispersion generalized Camassa–Holm equation2
Weak solutions for double phase Schrödinger–Kirchhoff problems with Neumann conditions2
Multiplicity of solutions for a non-local problem with indefinite weights2
Constant sign and nodal solutions for singular Gierer–Meinhardt-type system2
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term2
Global regularity of the steady magnetic damping boundary layer equation2
Source-term determination for an elliptic equation in a cylinder from boundary observations2
New stability result for bresse system with dual-phase-lag thermoelasticity2
Viscoelasticity versus nonlinear feedback in plate systems: optimal decay2
On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow2
New concentrated solutions for the nonlinear Schrödinger–Newton system2
Implicit fractional sweeping process with application to unilateral contact problem2
Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms2
Well-posedness and dynamical properties for a class of plate equation2
Analysis and computation of a nonlinear variable-exponent Caputo-Hadamard stochastic differential equation2
Lagrange-type optimization with inequality constraints2
On the stability of determining a nonlinear coefficient for the third-order nonlinear acoustic equation2
High-frequency homogenization of multidimensional hyperbolic equations2
Delta shock wave for ternary nonlinear chromatography equations as self-similar viscosity limit2
The existence of continuous weak solutions with compact support for degenerate parabolic systems with exchange-type source2
Quantitative unique continuation property for Baouendi–Grushin type subelliptic operators2
Generalized approach for stability numbers of shear-damped Bresse systems with Cattaneo couplings2
Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium2
Weak solutions to the full MHD system with non-homogeneous boundary conditions2
Properties of minimizers for mass critical Kirchhoff energy functionals in bounded domains2
Global unique solutions for 3D inhomogeneous incompressible MHD equations with discontinuous density2
On the L 2 -boundedness of semiclassical Fourier integral operators with rough amplitude and phase functions2
Asymptotically almost periodic solutions of discrete dynamical systems and applications2
Asymptotic profile and optimal decay of solutions for the wave equation with rotational inertia and logarithmic-Laplacian term2
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