| Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions |
34 |
| Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves |
31 |
| The mathematics behind chimera states |
29 |
| General soliton solution to a nonlocal nonlinear Schrodinger equation with zero and nonzero boundary conditions |
21 |
| Rogue periodic waves of the modified KdV equation |
17 |
| Rogue waves of the nonlocal Davey-Stewartson I equation |
16 |
| A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications |
14 |
| A critical blow-up exponent in a chemotaxis system with nonlinear signal production |
14 |
| Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials |
13 |
| Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals |
12 |
| Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization |
12 |
| Crisis of the chaotic attractor of a climate model: a transfer operator approach |
12 |
| Multiple positive normalized solutions for nonlinear Schrodinger systems |
11 |
| Bounds on mean energy in the Kuramoto-Sivashinsky equation computed using semidefinite programming |
10 |
| On a vector-host epidemic model with spatial structure |
10 |
| The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1 |
10 |
| Tensor-based dynamic mode decomposition |
10 |
| Fermi-like acceleration and power-law energy growth in nonholonomic systems |
9 |
| Global well-posedness and stability of constant equilibria in parabolic-elliptic chemotaxis systems without gradient sensing |
8 |
| Quasi- periodic solutions for the forced Kirchhoff equation on T-d |
8 |
| Normalized solutions for nonlinear Schrodinger systems on bounded domains |
8 |
| The application of anisotropic Troisi inequalities to the conditional regularity for the Navier-Stokes equations |
7 |
| Unique equilibrium states for Bonatti-Viana diffeomorphisms |
6 |
| Asymptotic distribution of nodal intersections for arithmetic random waves |
6 |
| Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids |
6 |
| On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms |
6 |
| An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions |
6 |
| Dynamical behavior near explicit self-similar blow-up solutions for the Born-Infeld equation |
6 |
| Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation |
6 |
| Steady vortex patch solutions to the vortex-wave system |
5 |
| Stability properties of solitary waves for fractional KdV and BBM equations |
5 |
| Decay characterization of solutions to the viscous Camassa-Holm equations |
5 |
| Small scale exact coherent structures at large Reynolds numbers in plane Couette flow |
5 |
| A note for global existence of a two-dimensional chemotaxis haptotaxis model with remodeling of non-diffusible attractant |
5 |
| Trivial dynamics in discrete-time systems: carrying simplex and translation arcs |
5 |
| Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier-Stokes equations with vacuum |
5 |
| Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on R-N |
5 |
| Diffusion-limited mixing by incompressible flows |
5 |
| Non-cooperative Fisher-KPP systems: traveling waves and long-time behavior |
5 |
| Almost sure invariance principle for random piecewise expanding maps |
5 |
| Global boundedness and decay property of a three-dimensional Keller-Segel-Stokes system modeling coral fertilization |
5 |
| Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems |
5 |
| The nonlocal Cahn-Hilliard-Hele-Shaw system with logarithmic potential |
5 |
| Wellposedness of a nonlinear peridynamic model |
4 |
| New lower bounds for the Hilbert numbers using reversible centers |
4 |
| The game theoretic p-Laplacian and semi-supervised learning with few labels |
4 |
| Optical solitons in nematic liquid crystals: model with saturation effects |
4 |
| Dissipation enhancement by mixing |
4 |
| Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics |
4 |
| Diffusive spatial movement with memory and maturation delays |
4 |