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On the thermomechanics of interstitial working
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Nonlinear Partial Differential Equations
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Interstitial Working and a Nonclassical Continuum Thermodynamics
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Symmetry considerations for materials of second grade
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Admissibility criteria for propagating phase boundaries in a van der Waals fluid
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Simple force and stress multipoles
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The viscosity-capillarity criterion for shocks and phase transitions
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Representations of certain isotropic tensor functions
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Thermodynamics and departures from Fourier's law of heat conduction
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A unified theory of thermomechanical materials
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Nonlocal polar elastic continua
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On nonlocal fluid mechanics
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The mechanical theory of fluid interfaces and Maxwell's rule
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Equilibrium solutions in the mechanical theory of fluid microstructures
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Dynamic phase transitions in a van der Waals fluid
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Dynamics of the diffuse gas-liquid interface near the critical point
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A proposal for continuum with microstructure
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Conservation laws and null divergences
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Transport Coefficients in the Gas Critical Region
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Existence of Caloric Equations of State in Thermodynamics
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Nonlinear partial differential equations
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Conservation Laws for Liquid Crystals
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Dynamic Changes of Phase in a Van Der Waals Fluid.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Blow-up of Compressible Navier–Stokes–Korteweg Equations
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Blow-up of Smooth Solutions to the Compressible Barotropic Navier-Stokes-Korteweg Equations on Bounded Domains
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A Global Existence Result for Korteweg System in the Critical LP Framework
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Pointwise Space-Time Behavior of a Compressible Navier-Stokes-Korteweg System in Dimension Three
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The Existence of Global Solutions for the Full Navier-Stokes-Korteweg System of van der Waals Gas
inferred← citeshttps://doi.org/10.1007/s10473-025-0209-4openalex-snapshot
Long time existence for the non-isentropic slightly compressible fluid model of Korteweg type
inferred← citeshttps://doi.org/10.1007/s10473-026-0316-xopenalex-snapshot
Global stability of rarefaction wave to the outflow problem of the one-dimensional compressible Navier-Stokes-Korteweg system
inferred← citeshttps://doi.org/10.1007/s10659-011-9320-yopenalex-snapshot
On the Thermodynamics of Korteweg Fluids with Heat Conduction and Viscosity
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Mindlin’s Micro-structural and Gradient Elasticity Theories and Their Thermodynamics
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Gradient Elasticity Based on Laplacians of Stress and Strain
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The Role of the Relative Fluid Velocity in an Objective Continuum Theory of Finite Strain Poroelasticity
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Numerical Investigation of a Thermoelastic Model for a Propagating Phase Boundary
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Some Analytical Solutions to the Compressible Euler-Korteweg Equations
inferred← citeshttps://doi.org/10.1007/s10773-026-06461-8openalex-snapshot
An Analytical Solution to the Vacuum Free Boundary Problem of Compressible Navier-Stokes-Korteweg Equations
inferred← citeshttps://doi.org/10.1007/s10884-020-09927-3openalex-snapshot
Local Well Posedness of the Euler–Korteweg Equations on $${{\mathbb {T}}^d}$$
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Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys
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Equilibrium of a second-gradient fluid and an elastic solid with surface stresses
inferred← citeshttps://doi.org/10.1007/s11012-024-01882-3openalex-snapshot
Extended Coleman–Noll procedure and thermodynamics of viscoelastic solids revisited
inferred← citeshttps://doi.org/10.1007/s11242-009-9405-2openalex-snapshot
A Model for Multiphase and Multicomponent Flow in Porous Media, Built on the Diffuse-Interface Assumption
inferred← citeshttps://doi.org/10.1007/s11785-024-01618-xopenalex-snapshot
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space
inferred← citeshttps://doi.org/10.1007/s11859-017-1212-yopenalex-snapshot
Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation
inferred← citeshttps://doi.org/10.1007/s11868-024-00662-7openalex-snapshot
A note on a generalized singular capillarity system with $$\Im $$-Hilfer fractional derivative
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Logarithmic wave-mechanical effects in polycrystalline metals: theory and experiment
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Global Well-Posedness for the One-Dimensional Euler–Fourier–Korteweg System
inferred← citeshttps://doi.org/10.1007/s40840-026-02187-2openalex-snapshot
Asymptotic Stability of Planar Rarefaction Wave to Three-Dimensional Compressible Navier-Stokes-Korteweg Equations Under Periodic Perturbations
inferred← citeshttps://doi.org/10.1007/s41980-024-00916-6openalex-snapshot
Space-time Decay Rate for the Compressible Navier–Stokes–Korteweg System in $${\mathbb {R}}^3$$
inferred← citeshttps://doi.org/10.1016/0020-7225(94)00078-xopenalex-snapshot
Fluids of differential type: Critical review and thermodynamic analysis
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Pattern formation in plasticity
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Moving contact lines in the Cahn-Hilliard theory
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Model of a weakly non-local relaxing compressible medium
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On the thermodynamic theory of fluid interfaces: Infinite intervals, equilibrium solutions, and minimizers
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Mechanics of Material Mutations
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Microscopic Foundations of the Mechanics of Gases and Granular Materials
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Numerical solution of Navier–Stokes–Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions
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Long-time behavior of solution for the compressible Navier–Stokes–Korteweg equations in R3
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Blow up of classical solutions to the barotropic compressible fluid models of Korteweg type in bounded domains
inferred← citeshttps://doi.org/10.1016/j.aml.2021.107274openalex-snapshot
Optimal large time behavior of the compressible Navier–Stokes–Korteweg system in R3
inferred← citeshttps://doi.org/10.1016/j.aml.2022.108499openalex-snapshot
Asymptotic behavior of solutions to the full compressible Navier–Stokes–Korteweg equations in the half space
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Strong solutions for a compressible fluid model of Korteweg type
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Thermodynamics of thermoviscoelastic solids of grade 3
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On wave propagation in porous media with strain gradient effects
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From Boltzmann to Euler: Hilbert’s 6th problem revisited
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A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier–Stokes–Korteweg equations
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Comparison of the local front reconstruction method with a diffuse interface model for the modeling of droplet collisions
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Phase equilibria and structure of inhomogeneous logarithmic fluids: An atomistic simulation study
inferred← citeshttps://doi.org/10.1016/j.cma.2010.02.010openalex-snapshot
Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations
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Liquid–vapor phase transition: Thermomechanical theory, entropy stable numerical formulation, and boiling simulations
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Pore-scale simulation of multiphase flows using equations of state that preserve the correct surface tension
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Droplet motion driven by tensotaxis
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Mixture of fluids involving entropy gradients and acceleration waves in interfacial layers
inferred← citeshttps://doi.org/10.1016/j.euromechflu.2010.12.003openalex-snapshot
Phase separation in quasi-incompressible Cahn–Hilliard fluids
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A comparison of models for the evaporation of the Lennard-Jones fluid
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Optimization of consistent two-equation models for thin film flows
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Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures
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A nonhomogeneous nonlocal elasticity model
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Fluctuating diffuse-interface simulations of vapor nucleation: Effects of wall superheat, wettability, chemical heterogeneity, and nanoscale topography
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On compressible Korteweg fluid-like materials
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2011.05.008openalex-snapshot
Refined resultant thermomechanics of shells
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Singular curves in the resultant thermomechanics of shells
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Thermocapillary fluids. Equations of momentum and energy. Boundary conditions on material surfaces
inferred← citeshttps://doi.org/10.1016/j.ijheatmasstransfer.2025.127874openalex-snapshot
Mass transfer through vapor–liquid interfaces from hydrodynamic density functional theory
inferred← citeshttps://doi.org/10.1016/j.ijmultiphaseflow.2010.03.005openalex-snapshot
A diffuse-interface approach to two-phase isothermal flow of a Van der Waals fluid near the critical point
inferred← citeshttps://doi.org/10.1016/j.ijmultiphaseflow.2010.09.011openalex-snapshot
Non-isothermal two-phase flow with a diffuse-interface model
inferred← citeshttps://doi.org/10.1016/j.ijmultiphaseflow.2018.06.001openalex-snapshot
Simulations of droplet collisions with a Diffuse Interface Model near the critical point
inferred← citeshttps://doi.org/10.1016/j.ijmultiphaseflow.2019.103173openalex-snapshot
Modeling of droplet impact on a heated solid surface with a diffuse interface model
inferred← citeshttps://doi.org/10.1016/j.ijmultiphaseflow.2023.104705openalex-snapshot
Interfacial vorticity dynamics for Navier–Stokes–Korteweg system: General theory and application to two-dimensional near-wall cavitation bubble
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2004.06.008openalex-snapshot
The symmetry group of gradient sensitive fluids
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2011.09.016openalex-snapshot
Travelling waves near a critical point of a binary fluid mixture
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2012.09.005openalex-snapshot
Thermodynamical setting for gradient continuum theories with vectorial internal variables: Application to granular materials
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