Keywords: Semi-Lagrangian method; Error correction method; Extrapolation technique; Nonlinear coupled partial differential equations; Coupled Burger's equations; 35K61; 65M25; 65K05;
مقالات ISI (ترجمه نشده)
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Keywords: 35K57; 35K61; 37C65; 92D25; Competition-diffusion-advection; Environmental heterogeneity; Monotone dynamics; Steady states; Global stability;
Keywords: 35K57; 35K61; 37C65; 92D25; Competition-diffusion-advection; Monotone dynamical systems; Principal eigenvalue; Global stability;
Keywords: 35K61; 35A01; 35B40; 35K57; Volume-surface reaction-diffusion; Nonlinear boundary conditions; Global existence; Exponential convergence to equilibrium;
Keywords: 35K55; 35K61; 35R05; Nonlinear parabolic equations; Unbounded data; Repulsive gradient;
Keywords: 65M06; 35K57; 35K61; Two-dimensional model; Nonlinear time-dependent partial differential equation; Finite-difference scheme; Symmetry preservation; Boundedness and positivity preservation;
Keywords: primary; 35K61; secondary; 76D07;
Keywords: 35Q61; 35K61; 35R09; 65M20; 82D55; Anisotropic thermoelasticity; Inverse problems; Iterative regularization; Discrepancy principle; Finite element method;
Keywords: 35K57; 35K61; 35R35; 92D25Diffusive logistic equation; Sign-changing coefficient; Free boundary; Spreading–vanishing; Sharp criteria
Keywords: 35B65; 35K61; 35Q56; 47H30; 74A15; 80A22Nonlinear initial–boundary value problems; Nonlinear parabolic systems; Dynamic boundary conditions; Leray–Schauder principle; Nemytskii’s operator; Thermodynamics; Phase-field models
Keywords: 35K57; 35K61; 92D25Reaction–diffusion–advection; Competition; Persistence; Evolution of dispersal
Keywords: 34A60; 35K55; 35K57; 35K61; 65N06; Nonlinear parabolic equations; Dynamic boundary conditions; Reaction-diffusion; Finite difference scheme; Maximal monotone operators;
Keywords: 93B05; 35K58; 35K65; 35K61; 35K45Approximate controllability; Bilinear control; Semilinear equations; Degenerate parabolic equations; Weighted Sobolev spaces
Keywords: 35K61; 35Q61; 35Q79; 65M12Induction hardening; Joule heating; Maxwell’s equations; Monotone operators; Rothe’s method
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions
Keywords: 35B40; 35K61; 49J20; 49K20; 93C20; Cahn-Hilliard system; Convection; Asymptotic behavior; Optimal control; Necessary optimality conditions;
Long-time simulations with complex code using multiple nodes of Intel Xeon Phi Knights Landing
Keywords: 35K61; 65M08; 65Y05; 68U20; 92C35; Intel Xeon Phi; Knights Landing; MPI; openMP; Parabolic partial differential equations; Calcium induced calcium release;
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition
Keywords: 35K61; 49J20; 49J50; 49K20; Optimal control; Viscous Cahn-Hilliard system; Phase field model; Dynamic boundary conditions; First-order necessary optimality conditions;
Itô's calculus under sublinear expectations via regularity of PDEs and rough paths
Keywords: 60G44; 60H05; 35K61; 93E20; Fully nonlinear PDEs; Martingale problem; Nonlinear expectation; Stochastic integral; Itô's formula; Rough path theory;
A-Ï formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field
Keywords: 35K61; 35Q61; 35Q79; 65M12; Maxwell's equations; Minty-Browder; Monotone operators; Rothe's method; Scalar potential; Vector potential;
Parabolic equations and the bounded slope condition
Keywords: 35A01; 35K61; 35K86; 49J40; Existence; Parabolic equations; Bounded slope condition; Lipschitz solutions;
Nonlinear diffusion equations as asymptotic limits of Cahn–Hilliard systems
Keywords: 35K61; 35K25; 35B25; 35D30; 80A22Cahn–Hilliard system; Stefan problem; Porous media equation; Hele-Shaw profile; Fast diffusion equation
Equation and dynamic boundary condition of Cahn–Hilliard type with singular potentials
Keywords: 35K61; 35K25; 35D30; 35D35; 80A22Cahn–Hilliard system; Dynamic boundary condition; Mass conservation; Well-posedness; Strong solution
Existence and uniqueness of global weak solutions to a Cahn–Hilliard–Stokes–Darcy system for two phase incompressible flows in karstic geometry
Keywords: 35K61; 76T99; 76S05; 76D07Cahn–Hilliard–Stokes–Darcy system; Two phase flow; Karstic geometry; Interface boundary conditions; Diffuse-interface model; Well-posedness
Global solution to the Allen–Cahn equation with singular potentials and dynamic boundary conditions
Keywords: 35K55; 35K61; 80A22Allen–Cahn equation; Dynamic boundary conditions; Maximal monotone graphs; Initial boundary value problem; Existence and uniqueness results