Keywords: Boundary layers; Singular perturbations; Burgers equation; Nonlinear boundary layers; 35B25; 35C20; 76D10; 35K05;
مقالات ISI (ترجمه نشده)
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Keywords: 35K05; 47J40; 26A39; Radiation hydrodynamics; Diffusion approximation; Smooth solutions;
Keywords: 35K05; 35K99; 47J06; 47H10; Cauchy problem; Helmholtz equation; Ill-posed problems; Fourier transform; Truncation method; Perturbed wave number;
Keywords: 35K05; 35K99; 47J06; 47H10; Time fractional inhomogeneous diffusion equation; Regularization method; Caputo fractional derivative; Fourier transform;
Keywords: 35B44; 35K60; 35K05; 35C15; Blow-up time; Lower bound; Local nonlinear Neumann boundary condition;
Keywords: primary; 35R11; 49M25; secondary; 35K05; 65N15; Nonlocal discrete diffusion equations; Fractional discrete Laplacian; Regularity and extension problem; Sobolev and Poincaré inequalities; Error of approximation; Semidiscrete heat equation;
Keywords: Primary 35J10; 35K05; 35R30; Secondary 37G30; 37B25; 34C23; Semilinear PDE; Reaction-diffusion equation; Behavior of solutions; Chaos;
Keywords: 35K05; 35K99; 47J06; 47H10Cauchy problem; Helmholtz equation; Ill-posed problem; Regularized solution; Stability; Error estimates
Keywords: 35K92; 35K05; 37L05; 35D35; 35J92; 35D30; 35B45; Venttsel' boundary conditions; Nonlocal boundary conditions; Nonlinear C0-semigroups; Ultracontractivity for nonlinear semigroups; A priori estimates; Nonlinear energy forms on fractals;
Keywords: 31C40; 35K05; 42B35; 46E35; Riesz-Morrey-Hardy potential; Morrey-Radon space; Strong restriction principle;
Keywords: 35K05; 35B40; 49J20; 93D15; Rapid output stabilization; Impulse control; Heat equation;
Keywords: primary; 35K05; 60J35; 47G20; secondary; 47D07; Heat kernel; Transition density; Non-local operator; Kato class; Lévy system; Gradient estimate;
Keywords: 35K05; 49J20; 65K210; 90C47; 93C20Heat equation; Optimal control; Optimal location; Game theory; Nash equilibrium
Keywords: 35R06; 35K05; 35R11Fractional heat equation; Dirac mass; Self-similar solution
Keywords: 35K60; 35K20; 35K05; 35K08Blow-up time; Heat equation; Local nonlinear; Neumann boundary condition
Keywords: 35L05; 35K05; 35Q99; 46N20Damped wave equation; Heat equation; Diffusion phenomena; Geometric control condition; Variable damping; Energy decay
Keywords: 35A02; 35K05; 35R45Carleman inequality; Backward uniqueness; Cone domain; Parabolic operator
Keywords: 35K05; 31C15Fractional dissipative equation/operator; Regularity; Capacity; Blow-up set; Hausdorff dimension
Keywords: 35K35; 46E22; 35C15; 35K05; 65M15Local polynomial approximation; Moving least square reproducing kernel (MLSRK) method; Meshless local Petrov–Galerkin (MLPG) method; Maxwell equations; Error estimation; Electromagnetic equations
Keywords: 35B33; 35B40; 35K05; 35Q79; Heat equation; Nonhomogeneous media; Singular density; Asymptotic behavior; Radially symmetric solutions; Thermal propagation;
Keywords: 35R30; 49N45; 35K05; 47A05Heat flux identification; Linearization algorithm; Conjugate gradient method; Nonlinear parabolic equation
Regularity in Lp Sobolev spaces of solutions to fractional heat equations
Keywords: 35K05; 35K25; 47G30; 60G52; Nonlocal heat equation; Fractional Laplacian; Stable process; Pseudodifferential operator; Dirichlet condition; Lp Sobolev regularity;
The Prabhakar or three parameter Mittag-Leffler function: Theory and application
Keywords: Prabhakar function; Mittag-Leffler function; Asymptotic expansion; Fractional calculus; Prabhakar derivative; Havriliak-Negami model; Nonlinear heat equation; 33E12; 26A33; 34E05; 35K05;
Global, decaying solutions of a focusing energy-critical heat equation in R4
Keywords: 35K05; 35B40; 35B65; Nonlinear heat equation; Concentration compactness; Regularity; Asymptotic decay;
Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrödinger equation and its stability
Keywords: 35N05; 35J05; 35J10; 35K05; 35L05; Simple equation method; Solitons; Solitary wave solutions; Higher-order nonlinear Schrödinger equation with fourth-order dispersion;
A matched Peaceman-Rachford ADI method for solving parabolic interface problems
Keywords: Heat equation; Parabolic interface problem; Matched alternating direction implicit (ADI) method; Peaceman-Rachford ADI scheme; Matched interface and boundary (MIB); 65M06; 65M12; 35K05;
The Matzoh Ball Soup Problem: A complete characterization
Keywords: 35K05; 35K15; 53A10; 58J70Heat equation; Stationary isothermic surfaces
A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators
Keywords: 65M99; 35C15; 35K05; 35L03; 35L05; 65L06Semi-analytical explicit formula for PDEs; Semi-analytical explicit Runge–Kutta methods; Integral representations of solutions of PDEs; Wave equations; First-order hyperbolic equations; First-order parabolic equatio
Large solutions for a class of semilinear integro-differential equations with censored jumps
Keywords: 35K05; 45P05; 35B40Nonlocal diffusion; Large solutions
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
Keywords: 35K05; 93B05; 93B07Heat equation; Singular potential; Null controllability; Carleman estimates
The blow-up solutions of the heat equations in FL1(RN)FL1(RN)
Keywords: 35K05; 35K55Heat equations; Blow-up solution
A note on semilinear heat equation in hyperbolic space
Keywords: 35B33; 35K05; 35K15Semilinear heat equations; Hyperbolic space; Blow-up; Fujita exponent
A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem
Keywords: 35K05; 35A35; 65N35; Heat conduction; Inverse Stefan problem; Method of fundamental solutions; Two-phase change; Regularization;
A backward parabolic equation with a time-dependent coefficient: Regularization and error estimates
Keywords: 35K05; 35K99; 47J06; 47H10Backward problem; Ill-posed problem; Nonhomogeneous; Parabolic equation; Time-dependent coefficient
A generalized moving least square reproducing kernel method
Keywords: 35K35; 46E22; 35C15; 35K05; 65M15Polynomial reproduction; Moving least square method; Reproducing kernel method; Meshless methods
The Green function for the Duffin–Kemmer–Petiau equation
Keywords: 35J05; 35J10; 35K05; 35L05DKP equation; ST decomposition; Green function; Coefficient of transmission; Coefficient of reflection
Analysis and numerical simulation of an induction–conduction model arising in steel heat treating
Keywords: 35A15; 35G30; 35J57; 35K05; 35K55; 35Q61; 35Q80; 46E35Steel hardening; Phase fractions; Nonlinear parabolic–elliptic equations; Sobolev spaces; Finite elements method
Some properties of biwave maps
Keywords: 58E20; 58 G11; 35K05; Bienergy; Biwave map; Biwave field;
Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity
Keywords: 35K05; 35K57; 35K58; 35B44Life span; Semilinear heat equation; Cauchy problem; Blow-up
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
Keywords: primary; 35K05; secondary; 35P20; Laplacian; Dirichlet and Neumann boundary conditions; Twist; Hardy inequality; Subcriticality; Heat equation; Large-time behaviour of solutions; Waveguide;
Sharp estimates for approximations to a nonlinear backward heat equation
Keywords: 35K05; 35K99; 47J06; 47H10Backward heat problem; Ill-posed problem; Nonlinear heat; Truncation method; Error estimate
A nonlinear parabolic equation backward in time: Regularization with new error estimates
Keywords: 35K05; 35K99; 47J06; 47H10Backward parabolic problem; Ill-posed problem; Nonlinear parabolic equation; Truncation method; Error estimate
Reconstruction of two time independent coefficients in an inverse problem for a phase field system
Keywords: 35K05; 35R30; 80A22Inverse problems; Stability; Phase field model; Carleman estimate
Stability analysis of heat flow with boundary time-varying delay effect
Keywords: 35B35; 35K05; 35K20Heat flow; Time-varying delay; Variable norm technique; Exponential stability; Modified Lyapunov functional approach
Removal of numerical instability in the solution of an inverse heat conduction problem
Keywords: 35K05; 58G11; 93D05; 02.30.Zz; 02.30.Jr; 02.60.âx; Inverse heat conduction problem; Existence; Uniqueness; Instability;
Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation
Keywords: 35K05; 35K99; 47J06; 47H10Backward heat problem; Nonlinearly ill-posed problem; Quasi-boundary value methods; Quasi-reversibility methods
Stability of parabolic problems with nonlinear Wentzell boundary conditions
Keywords: 35K05; 47H02; 35K60Heat equation; Nonlinear Wentzell boundary condition; Stability
A method of fundamental solutions for transient heat conduction
Keywords: 35K05; 35A35; 65N35Heat conduction; Method of fundamental solutions
Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab
Keywords: 35K05; 31A25; 44A35Heat equation; Heat distribution; Sinc series; Ill-posed problem; Regularization
Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions
Keywords: 35K05; 35K20; 35B30; 35B45; 35D05; Galerkin method; Nonlocal condition; A priori estimates; Nonclassical function space;