Keywords: معادله متوسط پوسته; Porous medium equation; Series solution; Groundwater; Wedged Hele-Shaw cell; Shampine's method;
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Keywords: معادله متوسط پوسته; Porous medium equation; Anisotropic mesh adaptation; Adaptive mesh; Anisotropic diffusion; Finite element; Moving mesh;
Keywords: معادله متوسط پوسته; Nonlinear diffusion; Moving-meshes; Similarity; Finite differences; Porous medium equation; Glacier equation;
Keywords: معادله متوسط پوسته; 35K55; 35B40; Asymptotic behavior; Porous medium equation; Unbounded function; Propagation estimates; Growth estimates; Weighted L1-Lâ estimates;
Keywords: معادله متوسط پوسته; primary; 35R01; secondary; 35K65; 58J35; 35A01; 35A02; 35B44; Porous medium equation; Cartan-Hadamard manifolds; Large data; A priori estimates; Nonexistence; Blow-up;
Keywords: معادله متوسط پوسته; Proper spaces; Improper spaces; Asymptotic convergence; Porous medium equation;
Discrete solutions for the porous medium equation with absorption and variable exponents
Keywords: معادله متوسط پوسته; Porous medium equation; Finite element method; Variable exponents;
Keywords: معادله متوسط پوسته; Porous medium equation; Adaptive moving mesh method; MMPDE method; Finite element method; Hessian-based adaptivity; Immersed boundary; Free boundary;
Keywords: معادله متوسط پوسته; 35K55; 35B25; 76D27; 92C50; Hele-Shaw equation; Free boundary problems; Porous medium equation; Tumor growth;
Keywords: معادله متوسط پوسته; Filtration equation; Porous medium equation; Neumann problem; Smoothing effects; Sobolev inequalities; Gagliardo-Nirenberg inequalities;
Keywords: معادله متوسط پوسته; 35B40; 35K55; 35K65; 58J35; Porous medium equation; Flows on manifolds; Asymptotic behaviour; Finite propagation;
Keywords: معادله متوسط پوسته; 35A02; 35B30; 35B35; 35B53; 35D30; 35J15; 35K59; 35K65; 35L65; 35R09; 35R11; Uniqueness; Distributional solutions; Nonlinear degenerate diffusion; Porous medium equation; Stefan problem; Fractional Laplacian; Nonlocal operators; Existence; Stability; Loca
Keywords: معادله متوسط پوسته; Fractional diffusion; Porous medium equation; Weak solution; Bounded domain
Keywords: معادله متوسط پوسته; Free boundary; Porous medium equation; Rescaling algorithm; Two-component domain;
Keywords: معادله متوسط پوسته; Nonlinear diffusion; Nonlinear finite element method; Cardiac electrophysiology; Computational cardiology; Porous medium equation;
Keywords: معادله متوسط پوسته; Hydrodynamic limit; Porous medium equation; Sparse nonlinear systems; Relaxation methods; Parallel computing
Keywords: معادله متوسط پوسته; Porous medium equation; Non-homogeneous media; Singular density; Asymptotic behavior; Radially symmetric solutions; Nonlinear diffusion
Keywords: معادله متوسط پوسته; Porous medium equation; Freundlich and Langmuir isotherms; Existence; Uniqueness; Regularity
Keywords: معادله متوسط پوسته; Fractional calculus; Porous medium equation; Anomalous diffusion; Approximate solution
Keywords: معادله متوسط پوسته; Fractional diffusion; Porous medium equation; Weak solution; Forcing term
Keywords: معادله متوسط پوسته; Porous medium equation; Finite element method; Moving mesh; Moving boundary; Variable exponent
Keywords: معادله متوسط پوسته; 35B33; 35B40; 35K10; 35K67; 35Q79; Porous medium equation; Non-homogeneous media; Singular density; Asymptotic behavior; Radially symmetric solutions; Nonlinear diffusion;
Keywords: معادله متوسط پوسته; Porous medium equation; Large time behaviour; Eventual concavity; Convergence of supports; Gelfand problem;
Keywords: معادله متوسط پوسته; 35A01; 35A02; 35E15; 35K55; 35R11Fractional Laplacian; Porous medium equation; Cauchy problem; Variable density; Smoothing effect
Keywords: معادله متوسط پوسته; porous medium equation; blow-up; positive initial energy35K55; 35K65
Discrete Morse flow for Ricci flow and porous medium equation
Keywords: معادله متوسط پوسته; Discrete Morse flow; Ricci flow; Porous medium equation; Conical singularities; 53C44; 35K50; 93C55;
Application of the moving mesh method to the porous medium equation with variable exponent
Keywords: معادله متوسط پوسته; Porous medium equation; Finite element method; Moving mesh; Moving boundary; Variable exponent
A multi-dimension blow-up problem to a porous medium diffusion equation with special medium void
Keywords: معادله متوسط پوسته; Porous medium equation; Hardy–Sobolev inequality; Global existence; Decay of exponent; Blow-up
Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator
Keywords: معادله متوسط پوسته; Porous medium equation; Long-time asymptotics; Self-similar solution; Spectral analysis
Homogenization of degenerate porous medium type equations in ergodic algebras
Keywords: معادله متوسط پوسته; primary; 35B40; 35B35; secondary; 35L65; 35K55; Two-scale Young measures; Homogenization; Algebra with mean value; Porous medium equation;
Hamilton's gradient estimates and Liouville theorems for porous medium equations on noncompact Riemannian manifolds
Keywords: معادله متوسط پوسته; Gradient estimate; Porous medium equation; Liouville theorem;
Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative
Keywords: معادله متوسط پوسته; Fractional differential equations; Anomalous diffusion; Approximate solution; Porous medium equation
A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations
Keywords: معادله متوسط پوسته; WENO scheme; Finite difference scheme; Nonlinear degenerate parabolic equation; Porous medium equation
Traveling wave solutions of the porous medium equation with degenerate interfaces
Keywords: معادله متوسط پوسته; Porous medium equation; Reduction to ode
Parabolic theory of the discrete pp-Laplace operator
Keywords: معادله متوسط پوسته; 39A12; 47H20; 05C50Nonlinear C0C0-semigroups generated by subdifferentials; Operators on discrete graphs; Discrete symmetries; Porous medium equation
Asymptotic behavior in degenerate parabolic fully nonlinear equations and its application to elliptic eigenvalue problems
Keywords: معادله متوسط پوسته; 35K55; 35K65Fully nonlinear parabolic equation; Large time behavior; Heat equation; Porous medium equation; Fully nonlinear elliptic eigenvalue problem
Local Aronson–Bénilan estimates for a weighted porous medium equation on Riemannian manifolds
Keywords: معادله متوسط پوسته; Aronson–Bénilan estimate; Porous medium equation; Riemannian manifold
Homogenization of the time discretized compressible Navier–Stokes system
Keywords: معادله متوسط پوسته; 76D05; 76M50; 74Q10Homogenization; Compressible Navier–Stokes equations; Porous medium equation
Large systems of diffusions interacting through their ranks
Keywords: معادله متوسط پوسته; 60J60; 82C22; 65M75; Diffusion processes; McKean-Vlasov equation; Porous medium equation; Particle method; Capital distributions; Rank-based market models;
A self-similar solution for the porous medium equation in a two-component domain
Keywords: معادله متوسط پوسته; 35K55; 35R35; 34A34; 34C11Contact condition; Free boundary; Nonlinear ODE; Porous medium equation; Self-similarity
Moving mesh methods for solving parabolic partial differential equations
Keywords: معادله متوسط پوسته; Moving meshes; Finite elements; Moving boundaries; Parabolic PDEs; Porous medium equation
Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators
Keywords: معادله متوسط پوسته; 35K55; 34G20; 35Q30Nonlinear evolution equation; Locally monotone; Pseudo-monotone; Navier–Stokes equation; Burgers equation; Porous medium equation; pp-Laplace equation; Reaction–diffusion equation
Blow up rate for a porous medium equation with power nonlinearity
Keywords: معادله متوسط پوسته; 35K65; 35K50; Porous medium equation; Blow up rate; Cauchy problem;
Boundedness and blowup for nonlinear degenerate parabolic equations
Keywords: معادله متوسط پوسته; Porous medium equation; Quasilinear parabolic equation; Global existence; Blowup solutions
Smooth solution for the porous medium equation in a bounded domain
Keywords: معادله متوسط پوسته; Porous medium equation; Free boundary; Short time existence
Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
Keywords: معادله متوسط پوسته; Porous medium equation; Nonstandard growth conditions; Extinction
Blowup of solutions to a porous medium equation with nonlocal boundary condition
Keywords: معادله متوسط پوسته; Porous medium equation; Nonlocal boundary condition; Blow up; Global existence; Blowup rate
Interacting diffusions approximating the porous medium equation and propagation of chaos
Keywords: معادله متوسط پوسته; Porous medium equation; Interacting diffusion processes; Propagation of chaos
Blow-up rate for a nonlinear diffusion equation
Keywords: معادله متوسط پوسته; Blow-up rate; Nonlinear diffusion; Porous medium equation; Convection; Nonlinear boundary flux; Absorption
Series solution for porous medium equation with a source term by Adomian's decomposition method
Keywords: معادله متوسط پوسته; Adomian's decomposition method; Porous medium equation;