| Publication | Date of Publication | Type |
|---|
| Finite Difference Approximation with ADI Scheme for Two-dimensional Keller-Segel Equations | 2023-10-31 | Paper |
| The Cumulative Distribution Function Based Method for Random Drift Model | 2023-10-25 | Paper |
| A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis | 2023-10-17 | Paper |
| On a Continuum Model for Random Genetic Drift: A Dynamical Boundary Condition Approach | 2023-09-18 | Paper |
| A stochastic model of grain boundary dynamics: A Fokker–Planck perspective | 2023-06-19 | Paper |
| On variational principles for polarization responses in electromechanical systems | 2022-11-17 | Paper |
| Grain growth and the effect of different time scales | 2022-10-09 | Paper |
| A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation | 2022-08-09 | Paper |
| Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis | 2022-05-11 | Paper |
| Modeling and simulation of cell nuclear architecture reorganization process | 2022-05-10 | Paper |
| Global existence of classical solutions for a reactive polymeric fluid near equilibrium | 2022-05-09 | Paper |
| Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density | 2022-05-03 | Paper |
| Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance | 2022-04-29 | Paper |
| Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space | 2022-04-27 | Paper |
| A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance | 2022-04-25 | Paper |
| A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach | 2022-04-22 | Paper |
| Energetic stable discretization for non-isothermal electrokinetics model | 2022-04-14 | Paper |
| A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates. I: One-dimensional case | 2022-04-14 | Paper |
| On second-order and fourth-order elliptic systems consisting of bulk and surface PDEs: well-posedness, regularity theory and eigenvalue problems | 2022-02-21 | Paper |
| An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis | 2022-02-11 | Paper |
| Local well-posedness of a nonlinear Fokker-Planck model | 2022-01-22 | Paper |
| The Brinkman-Fourier system with ideal gas equilibrium | 2022-01-03 | Paper |
| Temperature dependent extensions of the Cahn-Hilliard equation | 2021-12-29 | Paper |
| On a reversible Gray-Scott type system from energetic variational approach and its irreversible limit | 2021-12-22 | Paper |
| A deterministic-particle-based scheme for micro-macro viscoelastic flows | 2021-12-20 | Paper |
| Particle-based energetic variational inference | 2021-12-09 | Paper |
| Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag | 2021-12-08 | Paper |
| A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation | 2021-09-06 | Paper |
| Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions | 2021-08-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5004814 | 2021-08-03 | Paper |
| Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis | 2021-07-24 | Paper |
| A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system | 2021-07-07 | Paper |
| Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag | 2021-06-28 | Paper |
| Generalized SAV approaches for gradient systems | 2021-06-03 | Paper |
| Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance | 2021-05-19 | Paper |
| Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem | 2021-05-14 | Paper |
| Analysis of the energy dissipation laws in multi-component phase field models | 2021-03-25 | Paper |
| Modeling and simulation of nuclear architecture reorganization process using a phase field approach | 2021-03-11 | Paper |
| A phase field model for mass transport with semi-permeable interfaces | 2021-03-10 | Paper |
| A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach | 2021-01-29 | Paper |
| Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach | 2021-01-29 | Paper |
| Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach | 2021-01-14 | Paper |
| Numerical methods for porous medium equation by an energetic variational approach | 2020-12-10 | Paper |
| Coarse-graining Langevin dynamics using reduced-order techniques | 2020-12-09 | Paper |
| A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance | 2020-10-30 | Paper |
| On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach | 2020-07-21 | Paper |
| A second order accurate numerical scheme for the porous medium equation by an energetic variational approach | 2020-06-22 | Paper |
| Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system | 2020-06-16 | Paper |
| A new Lagrange multiplier approach for gradient flows | 2020-06-10 | Paper |
| Complex far-field geometries determine the stability of solid tumor growth with chemotaxis | 2020-03-23 | Paper |
| Nonlinear simulation of an elastic tumor-host interface | 2019-12-04 | Paper |
| A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case | 2019-11-18 | Paper |
| Energetic Stable Discretization for Non-Isothermal Electrokinetics Model | 2019-11-18 | Paper |
| Numerical Method for Multi-Alleles Genetic Drift Problem | 2019-09-02 | Paper |
| Numerical complete solution for random genetic drift by energetic variational approach | 2019-08-20 | Paper |
| Modeling and simulating asymmetrical conductance changes in gramicidin pores | 2019-05-21 | Paper |
| An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis | 2019-05-07 | Paper |
| Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency | 2019-01-22 | Paper |
| Non-isothermal electrokinetics: energetic variational approach | 2018-12-20 | Paper |
| Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity | 2018-02-19 | Paper |
| The Poisson-Boltzmann equation and the charge separation phenomenon at the silica-water interface: a holistic approach | 2018-01-19 | Paper |
| Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface” | 2017-11-28 | Paper |
| Largest well-posed spaces for the general diffusion system with nonlocal interactions | 2017-08-28 | Paper |
| On partial regularity problem for 3D Boussinesq equations | 2017-08-03 | Paper |
| Fluctuation-dissipation theorem consistent approximation of the Langevin dynamics model | 2017-07-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268669 | 2017-06-20 | Paper |
| Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid | 2017-06-16 | Paper |
| Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals: Effects of Kinematic Transports | 2017-06-07 | Paper |
| Generalized Shockley-Ramo theorem in electrolytes | 2017-05-30 | Paper |
| Two-phase incompressible flows with variable density: an energetic variational approach | 2017-03-13 | Paper |
| Energetic variational approaches for incompressible fluid systems on an evolving surface | 2017-02-21 | Paper |
| Strong solutions and instability for the fitness gradient system in evolutionary games between two populations | 2017-01-26 | Paper |
| Energetically stable discretizations for charge transport and electrokinetic models | 2016-12-20 | Paper |
| A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow | 2016-12-05 | Paper |
| Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles | 2016-11-04 | Paper |
| A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness | 2016-09-22 | Paper |
| Boundary layer solutions of charge conserving Poisson-Boltzmann equations: one-dimensional case | 2016-08-26 | Paper |
| Diffuse Interface Methods for Multiple Phase Materials: An Energetic Variational Approach | 2016-08-10 | Paper |
| Finite time singularity of the nematic liquid crystal flow in dimension three | 2016-07-26 | Paper |
| From Generalized Langevin Equations to Brownian Dynamics and Embedded Brownian Dynamics | 2016-06-11 | Paper |
| The Derivation and Approximation of Coarse-grained Dynamics from Langevin Dynamics | 2016-05-16 | Paper |
| Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density | 2015-08-05 | Paper |
| Finite Time Singularities for Hyperbolic Systems | 2015-05-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4982982 | 2015-04-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5177074 | 2015-03-05 | Paper |
| Diffusion limit of kinetic equations for multiple species charged particles | 2015-02-09 | Paper |
| An energetic variational approach for ion transport | 2014-11-18 | Paper |
| Behavior of different numerical schemes for population genetic drift problems | 2014-10-20 | Paper |
| Transport of charged particles: entropy production and maximum dissipation principle | 2014-10-07 | Paper |
| Blow-up criterion for compressible visco-elasticity equations in three dimensional space | 2014-10-02 | Paper |
| Modeling and simulating asymmetrical conductance changes in gramicidin pores | 2014-08-22 | Paper |
| An energetic variational approach to ion channel dynamics | 2014-05-19 | Paper |
| Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids | 2014-05-12 | Paper |
| Computation of the Memory Functions in the Generalized Langevin Models for Collective Dynamics of Macromolecules | 2014-03-25 | Paper |
| Shear cell rupture of nematic liquid crystal droplets in viscous fluids | 2014-03-04 | Paper |
| Hydrodynamic boundary conditions for one-component liquid-gas flows on non-isothermal solid substrates | 2014-01-22 | Paper |
| Full Eulerian modeling and effective numerical studies for the dynamic fluid-structure interaction problem | 2014-01-03 | Paper |
| On the Cauchy-Born Approximation at Finite Temperature | 2013-10-10 | Paper |
| On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability | 2013-03-27 | Paper |
| A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations | 2013-03-15 | Paper |
| Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties | 2012-11-28 | Paper |
| Energy variational approach to study charge inversion (layering) near charged walls | 2012-10-26 | Paper |
| Two-phase flow problem coupled with mean curvature flow | 2012-09-06 | Paper |
| A blow-up criterion for 3-D compressible visco-elasticity | 2012-02-16 | Paper |
| First-order system least squares and the energetic variational approach for two-phase flow | 2011-12-28 | Paper |
| Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations | 2011-12-28 | Paper |
| A model of electrodiffusion and osmotic water flow and its energetic structure | 2011-12-14 | Paper |
| A mathematical model for the hard sphere repulsion in ionic solutions | 2011-06-28 | Paper |
| Poiseuille flow of nematic liquid crystals | 2011-04-29 | Paper |
| Mathematical developments in the study of smectic A liquid crystals | 2011-04-29 | Paper |
| New Poisson–Boltzmann type equations: one-dimensional solutions | 2011-03-04 | Paper |
| Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations | 2011-01-10 | Paper |
| On the existence of mean curvature flow with transport term | 2010-09-22 | Paper |
| Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids | 2010-09-17 | Paper |
| Transient drop deformation upon startup of shear in viscoelastic fluids | 2010-04-22 | Paper |
| Energetic variational approach in complex fluids: maximum dissipation principle | 2010-03-22 | Paper |
| An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges | 2010-03-03 | Paper |
| An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Model for Polymeric Materials | 2009-10-19 | Paper |
| Energetic variational approaches in modeling vesicle and fluid interactions | 2009-07-15 | Paper |
| Onsager Principle and Electrorheological Fluid Dynamics | 2009-04-14 | Paper |
| On energetic variational approaches in modeling the nematic liquid crystal flows | 2009-02-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3538713 | 2008-11-24 | Paper |
| Heart-shaped bubbles rising in anisotropic liquids | 2008-11-03 | Paper |
| Boundary Conditions for the Microscopic FENE Models | 2008-10-28 | Paper |
| A maximum entropy principle based closure method for macro-micro models of polymeric materials | 2008-07-11 | Paper |
| Global solutions for incompressible viscoelastic fluids | 2008-06-30 | Paper |
| Convergence of Numerical Approximations of the Incompressible Navier–Stokes Equations with Variable Density and Viscosity | 2008-06-19 | Paper |
| Global existence for a 2D incompressible viscoelastic model with small strain | 2008-02-15 | Paper |
| Diffuse interface energies capturing the Euler number: relaxation and renomalization | 2008-02-05 | Paper |
| Analysis of a phase field Navier-Stokes vesicle-fluid interaction model | 2008-02-05 | Paper |
| Mathematical models for the deformation of electrolyte droplets | 2008-02-05 | Paper |
| An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics | 2007-12-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3436861 | 2007-05-11 | Paper |
| On a micro-macro model for polymeric fluids near equilibrium | 2007-05-11 | Paper |
| Analysis of finite element approximations of a phase field model for two-phase fluids | 2007-03-07 | Paper |
| Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method | 2006-11-15 | Paper |
| On electro-kinetic fluids: one-dimensional configurations | 2006-06-19 | Paper |
| Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach | 2006-05-16 | Paper |
| Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation | 2006-01-13 | Paper |
| Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions | 2006-01-10 | Paper |
| On hydrodynamics of viscoelastic fluids | 2005-11-15 | Paper |
| Viscoelastic effects on drop deformation in steady shear | 2005-11-04 | Paper |
| From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids | 2005-10-06 | Paper |
| FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations | 2005-10-06 | Paper |
| Retrieving Topological Information for Phase Field Models | 2005-09-16 | Paper |
| A phase field formulation of the Willmore problem | 2005-07-13 | Paper |
| A diffuse-interface method for simulating two-phase flows of complex fluids | 2005-04-15 | Paper |
| On Two Nonlinear Biharmonic Evolution Equations: Existence, Uniqueness and Stability | 2004-09-28 | Paper |
| Numerical Simulations on Two Nonlinear Biharmonic Evolution Equations | 2004-09-28 | Paper |
| A phase field approach in the numerical study of the elastic bending energy for vesicle membranes | 2004-09-23 | Paper |
| Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation | 2004-03-15 | Paper |
| Mixed Methods for the Approximation of Liquid Crystal Flows | 2003-08-25 | Paper |
| A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method | 2003-05-07 | Paper |
| Axisymmetric configurations of bipolar liquid crystal droplets | 2003-03-17 | Paper |
| On liquid crystal flows with free-slip boundary conditions | 2003-03-16 | Paper |
| EVOLUTION OF GRAIN BOUNDARIES | 2003-03-16 | Paper |
| The phase transition between chiral nematic and smectic \(A^*\) liquid crystals | 2003-03-13 | Paper |
| On the stability of two nematic liquid crystal configurations. | 2003-02-04 | Paper |
| Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions | 2002-10-17 | Paper |
| An Eulerian description of fluids containing viscoelastic particles | 2002-08-04 | Paper |
| Smectic A liquid crystal configurations with interface defects | 2002-07-14 | Paper |
| Time Evolution of Nematic Liquid Crystals with Variable Degree of Orientation | 2002-04-08 | Paper |
| Motion of a closed curve by minus the surface Laplacian of curvature | 2001-06-14 | Paper |
| Existence of solutions for the Ericksen-Leslie system | 2000-11-20 | Paper |
| Liquid Crystal Flow: Dynamic and Static Configurations | 2000-10-18 | Paper |
| Partial regularity of the dynamic system modeling the flow of liquid crystals | 2000-08-16 | Paper |
| Dynamic theory for incompressible smectic-A liquid crystals: existence and regularity | 2000-08-16 | Paper |
| Approximation of Liquid Crystal Flows | 2000-03-19 | Paper |
| Radial configurations of smectic A materials and focal conics | 2000-02-13 | Paper |
| Nonparabolic dissipative systems modeling the flow of liquid crystals | 1995-08-27 | Paper |
