The logistic-normal integral and its generalizations
Keywords: معادله گرما; Heat equation; Logistic-normal integral; Fourier series
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Quenching behavior of solutions in coupled heat equations with singular multi-nonlinearities
Keywords: معادله گرما; Quenching; Non-simultaneous quenching; Quenching rate; Heat equation; Characteristic algebraic system
Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces
Keywords: معادله گرما; Lie symmetries; Type II hidden symmetries; Heat equation
Numerical approximation of bang–bang controls for the heat equation: An optimal design approach
Keywords: معادله گرما; Heat equation; Bang–bang control; Convex relaxation; Numerical approximation
A new conservative method for the unsteady heat equation
Keywords: معادله گرما; Heat equation; Finite difference; Gradient; Divergence; Green’s theorem; Conservative; Iterative methods
An Itô formula for a family of stochastic integrals and related Wong–Zakai theorems
Keywords: معادله گرما; 60H10; 60H30; 60H05Stochastic differential equations; Second quantization operator; Heat equation
Multiscale 3D feature extraction and matching with an application to 3D face recognition
Keywords: معادله گرما; 3D feature extraction; 3D shape matching; 3D face recognition; Heat equation; Mesh signal processing
Solvability for a class of generalized standard materials with thermomechanical coupling
Keywords: معادله گرما; Existence result; Generalized standard materials; Differential inclusion; Heat equation
Determination of a time-dependent heat source from nonlocal boundary conditions
Keywords: معادله گرما; Inverse problem; Heat equation; Heat source; Non-local boundary conditions; Boundary element method; Regularization
Initial trace of solutions of semilinear heat equations with absorption
Keywords: معادله گرما; 35K58; 35K15; Heat equation; Singularities; Harnack inequalities; Radon measures; Borel measures; Barrier; Initial trace;
Asymptotic behavior in degenerate parabolic fully nonlinear equations and its application to elliptic eigenvalue problems
Keywords: معادله گرما; 35K55; 35K65Fully nonlinear parabolic equation; Large time behavior; Heat equation; Porous medium equation; Fully nonlinear elliptic eigenvalue problem
Dissipativity for Lur’e distributed parameter control systems
Keywords: معادله گرما; Dissipativity; Distributed parameter systems; Heat equation; Linear operator inequalities (LOIs)
Dissipativity for linear neutral distributed parameter systems: LOI approach
Keywords: معادله گرما; Dissipativity; Distributed parameter systems; Heat equation; Linear operator inequalities (LOIs)
On the heat equation with variable properties (applying a WKB method involving turning points)
Keywords: معادله گرما; Heat equation; Variable thermal coefficients; WKB method; Eigenfunction expansion method
An observability estimate for the heat equation from a product of two measurable sets
Keywords: معادله گرما; Observability estimate; Estimate of sums of eigenfunctions of the Laplacian; Heat equation;
A source identification problem related to mathematical model of laser surface heating
Keywords: معادله گرما; Source identification; Laser surface hardening; Optimal trajectory; Heat equation
Boundary second-order sliding-mode control of an uncertain heat process with unbounded matched perturbation
Keywords: معادله گرما; Infinite-dimensional systems; Boundary control; Heat equation; Uncertain systems; Second-order sliding modes
An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions
Keywords: معادله گرما; Heat equation; Inverse coefficient problem; Nonlocal boundary conditions; Fourier method
Radiofrequency ablation planning: An application of semi-infinite modelling techniques
Keywords: معادله گرما; Semi-infinite programming; Radiofrequency ablation; Heat equation; Simulation and optimization
Temperature profile prediction within selected materials heated by microwaves at 2.45GHz
Keywords: معادله گرما; Microwave heating; Temperature profiles; Absorbing power; Temperature prediction; Heat equation; Energy efficiency;
The logarithmic entropy formula for the linear heat equation on Riemannian manifolds
Keywords: معادله گرما; 35P15; 58J50; 53C21Entropy formula; Logarithmic entropy formula; Heat equation; Weighted heat equation; Bakry–Émery Ricci curvature
On uniqueness class for a heat equation on graphs
Keywords: معادله گرما; Uniqueness class; Graphs; Heat equation; Cauchy problem; Stochastic completeness
On the Navier-Stokes flows for heat-conducting fluids with mixed boundary conditions
Keywords: معادله گرما; Navier-Stokes equations; Heat equation; Qualitative properties; Mixed boundary conditions;
Lie point symmetries of a general class of PDEs: The heat equation
Keywords: معادله گرما; Lie point symmetries; Homothetic motions; Partial differential equations; Heat equation;
On an inverse problem: Recovery of non-smooth solutions to backward heat equation
Keywords: معادله گرما; Heat equation; Inverse problem; Illposed problem; Finite difference methods; Quasi-reversibility techniques; Non-smooth solutions
Global existence result for thermoviscoelastic problems with hysteresis
Keywords: معادله گرما; Existence result; Generalized standard materials; Heat equation; Enthalpy transformation; Maximal monotone operators; Doubly nonlinear equations; Plasticity; Shape-memory alloys
Type II blow-up for the four dimensional energy critical semi linear heat equation
Keywords: معادله گرما; Blow-up; Energy critical; Heat equation
Numerical analysis of the one-dimensional heat equation subject to a boundary integral specification
Keywords: معادله گرما; 35Lxx; 35Qxx; Heat equation; Nonlocal boundary conditions; Expansion methods; Matrix formulation;
Electrically driven incandescence of carbon nanotubes in controlled gaseous environments
Keywords: معادله گرما; Carbon nanotubes; Incandescence; Heat equation; Gas sensing
The quasi-linear method of fundamental solution applied to transient non-linear Poisson problems
Keywords: معادله گرما; Quasi-linear method of fundamental solution; Method of fundamental solution; Meshless method; Non-linear Poisson-type equations; Heat equation
Numerical method using cubic B-spline for the heat and wave equation
Keywords: معادله گرما; Heat equation; Wave equation; Truncation error; Cubic B-spline; Interpolation function
Regularity issues for the null-controllability of the linear 1-d heat equation
Keywords: معادله گرما; Heat equation; Null-control; Ill-posedness; Moment problem; Biorthogonal family; Regularity
On the heat flow equation of surfaces of constant mean curvature in higher dimensions
Keywords: معادله گرما; heat equation; mean curvature; higher dimensions35Q99; 58J35
Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
Keywords: معادله گرما; Inverse problem; Fractional derivative; Heat equation; Integral equations; Biorthogonal system of functions; Fourier series;
GPU-based Monte Carlo simulation in neutron transport and finite differences heat equation evaluation
Keywords: معادله گرما; GPU; Parallel processing; Monte Carlo; Neutron transport; Heat equation
On the regularity of the heat equation solution in non-cylindrical domains: Two approaches
Keywords: معادله گرما; Parabolic equations; Heat equation; Polyhedral domains; Edges; Anisotropic Sobolev spaces; Interpolation theory
The new numerical method for solving the system of two-dimensional Burgers’ equations
Keywords: معادله گرما; Burgers’ equations; Local discontinuous Galerkin finite element method; Hopf-Cole transformation; Heat equation
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
Keywords: معادله گرما; primary; 35K05; secondary; 35P20; Laplacian; Dirichlet and Neumann boundary conditions; Twist; Hardy inequality; Subcriticality; Heat equation; Large-time behaviour of solutions; Waveguide;
Full length articleUniversal series induced by approximate identities and some relevant applications
Keywords: معادله گرما; Universal series; Wiener algebra; Approximation to the identity; Gauss kernel; Poisson kernel; Normal distribution; Heat equation; Laplace's equation;
Non-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositions
Keywords: معادله گرما; Proper generalized decomposition; BEM; Heat equation
A Cartesian grid embedded boundary method for solving the Poisson and heat equations with discontinuous coefficients in three dimensions
Keywords: معادله گرما; Heat equation; Jump conditions; Discontinuous coefficient; Irregular domain; Finite volume methods; Multigrid methods
Heat equation with dynamical boundary conditions of reactive–diffusive type
Keywords: معادله گرما; Heat equation; Dynamical boundary conditions; Dynamic boundary conditions; Reactive terms
Differential Harnack inequalities on Riemannian manifolds I: Linear heat equation
Keywords: معادله گرما; Heat equation; Differential Harnack inequality; Entropy;
Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions
Keywords: معادله گرما; Inverse boundary problem; Heat equation; Uniqueness; Nonlinear interface conditions; Multilayer domain
Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain
Keywords: معادله گرما; Heat equation; Singularity; Regularity; Fourier series; Finite element method; Non-standard finite difference method
The application of the homotopy perturbation method to one-phase inverse Stefan problem
Keywords: معادله گرما; Inverse Stefan problem; Solidification; Heat equation; Homotopy perturbation method
Continuous state-feedback tracking of an uncertain heat diffusion process
Keywords: معادله گرما; Heat equation; Second-order sliding modes; Uncertain systems; Distributed control systems
A method for estimating the temperature in high energy density free electron laser experiments
Keywords: معادله گرما; Temperature measurements; Pyrometer; Femto-second experiments; Warm dense matter; Heat equation
A method for solving partial differential equations via radial basis functions: Application to the heat equation
Keywords: معادله گرما; Radial basis functions; Heat equation; Closed form solution
A meshless method for two-dimensional diffusion equation with an integral condition
Keywords: معادله گرما; MLPG method; Meshless collocation methods; Heat equation; Numerical integration procedures; Parabolic partial differential equations