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heat
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
      
In a much cited article, Yau [5] proved that when the Ricci curvature is bounded uniformly below, then the only bounded solution to the heat equation ?tμ=Δμ on [0, ∞) × M which vanishes at t=0 is the one which vanishes evarywhere.
      
Well-posedness of a semilinear heat equation with weak initial data
      
In the first part the initial value problem (IVP) of the semilinear heat equation with initial data in is studied.
      
For the analogs of the heat and wave equation, we give algorithms for approximating the solution, and display the results of implementing these algorithms.
      
Their relationship with the heat equation and the newly introduced wavelet differential equation is established.
      
Heat-kernels and maximalLp-Lq-Estimates: The non-autonomous case
      
Application to estimating the initial heat distribution is analyzed.
      
The QSAR model indicates that the thermodynamic descriptors (heat of formation, log P, and molar refractivity) and steric descriptor (solvent assessable surface area) play an important role for the anti-HIV activity.
      
A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three
      
In this paper, a new method of boundary reduction is proposed, which reduces the steady-state heat transfer equation with radiation.
      
The blow-up property for a system of heat equations with nonlinear boundary conditions
      
On critical exponents for semilinear heat equations with nonlinear boundary conditions
      
This paper deals with the blow-up properties of solutions to semilinear heat equation with the nonlinear boundary condition .
      
The nonlinear PDEs consist of a heat equation with the Joule heating as a source and a current conservation equation with temperature-dependent electrical conductivity.
      
Discontinuous galerkin finite element method for a forward-backward heat equation
      
A space-time finite element method, discontinuous in time but continuous in space, is studied to solve the nonlinear forward-backward heat equation.
      
Global blow-up for a heat system with localized sources and absorptions
      
Polymerase chain reaction was used to amplify a 439-bp fragment of a 65,000-kDa (Mr) heat shock protein gene (hsp65) of Mycobacterium.
      
The change of magnetic characteristic of the array with the diameter and heat treatment was investigated.
      
 

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