The Optimal \({{\varvec{L}}^2}\) Decay Rate of the Velocity for the General FENE Dumbbell Model Zhaonan LuoWei LuoZhaoyang Yin OriginalPaper 23 May 2024 Article: 46
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity Qin DuanXiangdi Huang OriginalPaper 19 May 2024 Article: 45
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application Ankit KumarKush KinraManil T. Mohan OriginalPaper 17 May 2024 Article: 44
On the Mass Transfer in the 3D Pitaevskii Model Juhi JangPranava Chaitanya JayantiIgor Kukavica OriginalPaper Open access 14 May 2024 Article: 43
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations Yueqiang ShangJiali ZhuBo Zheng OriginalPaper 04 May 2024 Article: 42
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains Yazhou ChenBin HuangXiaoding Shi OriginalPaper 02 May 2024 Article: 41
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel Dongnam KoHyeong-Ohk BaeGyuyoung Hwang OriginalPaper 01 May 2024 Article: 40
Dynamics of the Restricted \((N+1)\)-Vortex Problem with a Regular Polygon Distribution Qihuai LiuQian LuoChao Wang OriginalPaper 29 April 2024 Article: 39
Analysis of a Sturm–Liouville Problem Arising in Atmosphere Kateryna Marynets OriginalPaper Open access 26 April 2024 Article: 38
On the Well-Posedness and Decay Rates of Solutions to the Poisson–Nernst–Planck–Navier–Stokes System Xiaoping ZhaiZhigang Wu OriginalPaper 25 April 2024 Article: 37
Ill-Posedness of the Novikov Equation in the Critical Besov Space \(B^{1}_{\infty ,1}(\mathbb {R})\) Jinlu LiYanghai YuWeipeng Zhu OriginalPaper 23 April 2024 Article: 36
Stability for the Magnetic Bénard System with Partial Dissipation Yuzhu WangYuhang ZhangXiaoping Zhai OriginalPaper 17 April 2024 Article: 35
On the Steadiness of Symmetric Solutions to Two Dimensional Dispersive Models Long PeiFengyang XiaoPan Zhang OriginalPaper 15 April 2024 Article: 34
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations Tatsu-Hiko Miura OriginalPaper 15 April 2024 Article: 33
Navier–Stokes Equations in the Half Space with Non Compatible Data Andrea ArgenzianoMarco CannoneMarco Sammartino OriginalPaper Open access 06 April 2024 Article: 32
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity Evgeniy Lokharu OriginalPaper Open access 06 April 2024 Article: 31
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge Antoine Remond-TiedrezLeslie M. SmithSamuel N. Stechmann OriginalPaper 29 March 2024 Article: 30
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities Helmut AbelsHarald GarckeAndrea Poiatti OriginalPaper 29 March 2024 Article: 29
An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model Pengshan WangWei LiuYingxue Song Original Research 28 March 2024 Article: 28
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations Christoph LohmannStefan Turek OriginalPaper Open access 28 March 2024 Article: 27
Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces Miriam BuckStefano Modena OriginalPaper Open access 28 March 2024 Article: 26
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface Igor KukavicaLinfeng LiAmjad Tuffaha OriginalPaper Open access 15 March 2024 Article: 25
Conjugate Points Along Kolmogorov Flows on the Torus Alice Le BrigantStephen C. Preston OriginalPaper 07 March 2024 Article: 24
Periodic Capillary-Gravity Water Waves of Small Amplitude Qixiang LiJinRong Wang OriginalPaper 28 February 2024 Article: 23
Blow-up Analysis for the \({\varvec{ab}}\)-Family of Equations Wenguang ChengJi Lin OriginalPaper 24 February 2024 Article: 22
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets Tomasz CieślakPiotr KokockiWojciech S. Ożański OriginalPaper 23 February 2024 Article: 21
Temporal Regularity of Symmetric Stochastic p-Stokes Systems Jörn Wichmann OriginalPaper Open access 21 February 2024 Article: 20
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions Bingkang Huang OriginalPaper 20 February 2024 Article: 19
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables NanNan Yang OriginalPaper 19 February 2024 Article: 18
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction Toshiaki Hishida OriginalPaper Open access 19 February 2024 Article: 17
On a Stokes System Arising in a Free Surface Viscous Flow of a Horizontally Periodic Fluid with Fractional Boundary Operators Daisuke Hirata OriginalPaper 12 February 2024 Article: 16
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity Yongkai Liao OriginalPaper 29 January 2024 Article: 14
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes Michele Coti ZelatiMichele DolceChia-Chun Lo OriginalPaper Open access 27 January 2024 Article: 12
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation Xiaokai HuoAnsgar Jüngel OriginalPaper Open access 18 January 2024 Article: 11
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass Shuai XiLiang Zhao OriginalPaper 16 January 2024 Article: 10
Data Assimilation to the Primitive Equations with \(L^p\)-\(L^q\)-based Maximal Regularity Approach Ken Furukawa OriginalPaper 04 January 2024 Article: 9
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions Huanyao WenXingyang Zhang OriginalPaper 03 January 2024 Article: 8
Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case Sébastien Court OriginalPaper Open access 31 December 2023 Article: 7
Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves David Henry OriginalPaper Open access 20 December 2023 Article: 6
Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport Tomonori TsuruhashiTsuyoshi Yoneda OriginalPaper 11 December 2023 Article: 5
Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction Jeffrey KuanSunčica Čanić OriginalPaper 16 November 2023 Article: 4
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates Tomi SalevaJukka Tuomela OriginalPaper Open access 14 November 2023 Article: 3
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations Tsukasa IwabuchiDáithí Ó hAodha OriginalPaper Open access 14 November 2023 Article: 2
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations Pietro Baldi OriginalPaper Open access 07 November 2023 Article: 1
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations Yuxi HuXuefang Wang OriginalPaper 01 November 2023 Article: 90
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines Ciprian G. GalMaurizio GrasselliAndrea Poiatti OriginalPaper 31 October 2023 Article: 89
Regularity Criterion for the 2D Inviscid Boussinesq Equations Menghan GongZhuan Ye OriginalPaper 17 October 2023 Article: 88
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension Conor CurtinRossen Ivanov OriginalPaper 17 October 2023 Article: 87
