scientific article

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

diffusion mathematical modeling heat flow hydrology flame propagation computing methods free and moving boundary problems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs with low regular coefficients and/or low regular data (35R05) Applications to the sciences (65Z05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

A sharp-front moving boundary model for malignant invasion ⋮ Shepherd model for knot-limited polymer ejection from a capsid ⋮ Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line ⋮ The effect of geometry on survival and extinction in a moving-boundary problem motivated by the Fisher-KPP equation ⋮ A theory of coalescence of signaling receptor clusters in immune cells ⋮ Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ A non-local visco-elastic damage model and dynamic fracturing ⋮ Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source ⋮ Invading and receding sharp-fronted travelling waves ⋮ Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and \(L^1\)-data ⋮ Comparison between Adomian decomposition method and optimal homotopy asymptotic method for a two moving boundaries problem ⋮ High-order embedded finite difference schemes for initial boundary value problems on time dependent irregular domains ⋮ Traveling waves, blow‐up, and extinction in the Fisher–Stefan model ⋮ Heat transfer in a reaction-diffusion system with a moving heat source ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ Provably Robust Directional Vertex Relaxation for Geometric Mesh Optimization ⋮ Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion ⋮ On the numerical solution of a class of variable coefficients parabolic moving boundary problems ⋮ The impacts of the ALE and hydrostatic-pressure approaches on the energy budget of unsteady free-surface flows ⋮ A mathematical model for nutrient-limited uniaxial growth of a compressible tissue ⋮ Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem ⋮ The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion ⋮ Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems ⋮ Conservative scheme for the thermodiffusion Stefan problem ⋮ Valuation of the American put option as a free boundary problem through a high-order difference scheme ⋮ On the solutions of a Stefan problem with variable latent heat ⋮ Numerical Method for the Time-Fractional Porous Medium Equation ⋮ Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation ⋮ NURBS representational strategies for tracking moving boundaries and topological changes during phase evolution ⋮ Squeeze flow of a piezoviscous fluid ⋮ Optimal control of geometric partial differential equations ⋮ A scalar prototype problem of deep abrasive drilling with an infinite free boundary: an asymptotic modeling study ⋮ Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy ⋮ The limiting shape for drifted internal diffusion limited aggregation is a true heat ball ⋮ Legendre wavelet based numerical solution of variable latent heat moving boundary problem ⋮ Irreversible thermodynamics of phase change heat transfer: Basic principles and applications to latent heat storage ⋮ Interactions between a uniformly proliferating tumour and its surroundings: stability analysis for variable material properties ⋮ Formulation and numerical simulations of a continuum model of avascular tumor growth ⋮ The numerical method for the moving boundary problem with space-fractional derivative in drug release devices ⋮ A numerical study of traveling wave fronts for a reaction-diffusion-advection model ⋮ A numerical algorithm for avascular tumor growth model ⋮ Homotopy perturbation method to space-time fractional solidification in a finite slab ⋮ Solidification using smoothed particle hydrodynamics ⋮ Model for direct bone apposition on pre-existing surfaces, during peri-implant osseointegration ⋮ Liquid-vapor transformations with surfactants. Phase-field model and isogeometric analysis ⋮ Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation ⋮ Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition ⋮ An approach for the identification of diffusion coefficients in the quasi-steady state of a post-discharge nitriding process ⋮ CRITICAL LENGTH FOR THE SPREADING–VANISHING DICHOTOMY IN HIGHER DIMENSIONS ⋮ Infiltration-induced phreatic surface flow to periodic drains: Vedernikov-Engelund-Vasil'ev's legacy revisited ⋮ A Numerical Solution of the Two-Dimensional Fusion Problem with Convective Boundary Conditions ⋮ Energy bounds for a moving boundary initial boundary value problem for the semi-linear wave equation ⋮ An improved recoil pressure boundary condition for the simulation of deep penetration laser beam welding using the SPH method ⋮ Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM) ⋮ Optimization and growth in first-passage resetting ⋮ Numerical solution of the thermistor problem ⋮ Generalized transport model for phase transition with memory ⋮ A physics-informed learning approach to Bernoulli-type free boundary problems ⋮ Pattern formation and front stability for a moving-boundary model of biological invasion and recession ⋮ A hybrid level-set / embedded boundary method applied to solidification-melt problems