Evolution of phase transitions in methane hydrate

No abstract is available for this paper.

• Publication year

  2014

• Venue

  Journal of Mathematical Analysis and Applications

• Publication date

  2014-01-15

• Fields of study

  Mathematics, Physics, Environmental Science

• Identifiers
  DOI 10.1016/J.JMAA.2013.07.023
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Methane in Subsurface: Mathematical Modeling and Computational Challenges

  2013cited by this paper
• Approximation of Nonlinear Evolution Systems

  2012cited by this paper
• International Conference on Computational Science , ICCS 2010 Adaptive modeling of methane hydrates

  2012influential reference
• Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

  2011influential reference
• Henry’ Law and Gas Phase Disappearance

  2009cited by this paper
• Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations

  2008cited by this paper
• Dynamic multiphase flow model of hydrate formation in marine sediments

  2007influential reference
• The Porous Medium Equation: Mathematical Theory

  2006cited by this paper
• Regularity for solutions of the two-phase Stefan problem

  2005cited by this paper
• Gas hydrate growth, methane transport, and chloride enrichment at the southern summit of Hydrate Ridge, Cascadia margin off Oregon

  2004cited by this paper
• Rethinking the global carbon cycle with a large, dynamic and microbially mediated gas hydrate capacitor

  2003cited by this paper
• Semi–Smooth Newton Methods for Variational Inequalities of the First Kind

  2003cited by this paper
• Numerical simulation of non-isothermal multiphase multicomponent processes in porous media.: 1. An efficient solution technique

  2002cited by this paper
• The finite element method for elliptic problems

  2002cited by this paper
• Optimal rates of convergence for degenerate parabolic problems in two dimensions

  1996influential reference
• Error analysis for implicit approximations to solutions to Cauchy problems

  1996cited by this paper
• Monotone operators in Banach space and nonlinear partial differential equations

  1996cited by this paper
• Models of Phase Transitions

  1996cited by this paper
• Personal Communications

  1994cited by this paper
• Degenerate Parabolic Equations

  1993cited by this paper
• Numerical modeling of steam injection for the removal of nonaqueous phase liquids from the subsurface. 1. Numerical formulation

  1992cited by this paper
• An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments

  1991cited by this paper
• Solution of the time discretized Stefan problem by Newton's method

  1990influential reference
• Clathrate hydrates of natural gases

  1990cited by this paper
• Approximation of Degenerate Parabolic Problems Using Numerical Integration

  1988influential reference
• Error estimates for multidimensional singular parabolic problems

  1987cited by this paper
• On the numerical approach to a two-phase stefan problem with non-linear flux

  1985cited by this paper
• A PRACTICAL METHOD FOR MODELING FLUID AND HEAT FLOW IN FRACTURED POROUS MEDIA

  1985cited by this paper
• Some Degenerate Nonlinear Parabolic Equations

  1984cited by this paper
• A singular quasilinear diffusion equation in $L^{1}$

  1984cited by this paper
• Continuity of solutions of a singular parabolic equation

  1983cited by this paper
• The initial and boundary value problem for a class of degenerate parabolic equations

  1983cited by this paper
• Mathematical formulation of the stefan problem

  1982cited by this paper
• Error estimates for the multidimensional two-phase Stefan problem

  1982influential reference
• Continuity of weak solutions to certain singular parabolic equations

  1982cited by this paper
• Interior and boundary continuity of weak solutions of degenerate parabolic equations

  1982cited by this paper
• Implicit Degenerate Evolution Equations and Applications

  1981cited by this paper
• Continuity of Weak Solutions to a General Porous Media Equation.

  1981cited by this paper
• On the Finite Element Approximation of an Elliptic Variational Inequality Arising from an Implicit Time Discretization of the Stefan Problem

  1981influential reference
• On the Existence of Weak-Solutions to an n-Dimensional Stefan Problem with Nonlinear Boundary Conditions

  1980cited by this paper
• A numerical method for solving the problem $u_t - \Delta f (u) = 0$

  1979cited by this paper
• Convex analysis and variational problems

  1976cited by this paper
• Nonlinear Semigroups and di erential equations in Banach spaces

  1976influential reference
• Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type

  1975cited by this paper
• Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert

  1973cited by this paper
• Semi-linear second-order elliptic equations in L 1

  1973influential reference
• Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations

  1971cited by this paper
• Sur une classe de problèmes d'évolution non linéaires

  1969cited by this paper
• Measurable dependence of convex sets and functions on parameters

  1969cited by this paper
• Integrals which are convex functionals. II

  1968cited by this paper
• A remark on a theorem of F. E. Browder

  1967cited by this paper
• Nonlinear monotone operators and convex sets in Banach spaces

  1965cited by this paper

• Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions

  2021cites this paper
• An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models

  2020cites this paper
• Multi-Component Multiphase Flow Through a Poroelastic Medium

  2019cites this paper
• An all-at-once Newton strategy for methane hydrate reservoir models

  2019cites this paper
• Hybrid three-scale model for evolving pore-scale geometries

  2018cites this paper
• Methane Hydrate Formation in Ulleung Basin Under Conditions of Variable Salinity: Reduced Model and Experiments

  2016cites this paper
• Reduced Numerical Model for Methane Hydrate Formation under Conditions of Variable Salinity. Time-Stepping Variants and Sensitivity

  2015influential citation
• Mathematical treatment and simulation of methane hydrates and adsorption models

  2014cites this paper
• Advection of methane in the hydrate zone: model, analysis and examples

  2014influential citation
• 2 Mathematical Point of View 3 Some Models of Interest

  2013cites this paper