Results 21 to 30 of about 2,847,525 (288)

Well-posedness of stochastic heat equation with distributional drift and skew stochastic heat equation [PDF]

, 2020
We study stochastic reaction--diffusion equation ∂tut(x)=12∂2xxut(x)+b(ut(x))+W˙t(x),t>0,x∈D where b is a generalized function in the Besov space Bβq,∞(R), D⊂R and W˙ is a space-time white noise on R+×D.
Butkovsky, O., Khoa, L., Lê, K., Mytnik, L., Lê, Khoa, Athreya, S., Athreya, Siva, Butkovsky, Oleg, Mytnik, Leonid   +8 more
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On one problem for restoring the density of sources of the fractional heat conductivity process with respect to initial and final temperatures

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider inverse problems for a fractional heat equation, where the fractional time derivative is taken into account in Riemann-Liouville sense.
A.S. Erdogan, D. Kusmangazinova, I. Orazov, M.A. Sadybekov   +3 more
doaj   +1 more source

MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR

Вестник КазНУ. Серия математика, механика, информатика, 2022
In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
doaj   +1 more source

Thermal quadrupole method with internal heat sources [PDF]

, 2012
A new method based on the thermal quadrupoles technique for heat transfer modelling in multilayered slabs with heat sources is proposed. Classical thermal quadrupoles use hyperbolic functions and numerical problems occur according to the argument value ...
A. Kusiak, BATTAGLIA, Jean-Luc, PRADERE, Christophe, KUSIAK, Andrzej, PAILHES, Jerome, Batsale, J.-C., AREGBA, Aworou Waste, A.W. Aregba, TOUTAIN, Jerome, Aregba, A.W., AREGBA, Waste, J.-C. Batsale, C. Pradere, Kusiak, A., TOUTAIN, Jean, J. Toutain, J. Pailhes, Toutain, J., Pailhes, J., BATSALE, Jean-Christophe, Battaglia, J.-L., J.-L. Battaglia   +21 more
core   +1 more source

Time-decoupled high order continuous space-time finite element schemes for the heat equation [PDF]

, 2014
Copyright © by SIAMIn Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 6685—6708 Werder et al. demonstrated that time discretizations of the heat equation by a temporally discontinuous Galerkin finite element method could be decoupled by diagonalising
Kruse, C, Shaw, S
core   +1 more source

On the projection method for solving the heat equation with lumped heat capacity [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
This paper presents some results of the possibility of using the least squares projection method for solving heat equations with concentrated heat capacity on a half-line.
Seregina, Elena V., Stepovich, Mikhail Adol'fovich   +1 more
doaj   +1 more source

Null controllability of heat equation with switching controls under Robin's boundary condition [PDF]

, 2016
In this paper, we consider the null controllability of 1-d heat equation endowed with Robin's boundary conditions, when the operator - d(2)/dx(2) has positive eigenvalues and try to find sufficient conditions for building switching controls.
Hamidoglu, Ali
core   +1 more source

On a time-optimal control problem for a heat conduction equation with involution [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
In this paper, we consider a boundary control problem for a heat conduction equation with involution in a bounded one-dimensional domain. The solution with the control function on the border of the rod is given.
Dekhkonov, Farrukh N.
doaj   +1 more source

Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values

Advanced Nonlinear Studies, 2020
In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δ⁢u+|u|α⁢u=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u⁢(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab, Tayachi Slim, Weissler Fred B.   +2 more
doaj   +1 more source

Experimental determination of natural convection heat transfer coefficients in an attic shaped enclosure [PDF]

, 2010
Heat transfer by natural convection in triangular enclosures is an area of significant importance in applications such as the design of greenhouses, attics and solar water heaters.
Carson, James K., Duke, Mike, Anderson, Timothy Nicholas   +2 more
core   +1 more source