Results 11 to 20 of about 1,170,486 (272)
A Skew Stochastic Heat Equation [PDF]
Journal of Theoretical Probability, 2012 We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invariant measure of Gibbs type, with a non-convex potential. We obtain existence of a Markov solution, which is associated with an explicit Dirichlet form.
Bounebache, S.K., Zambotti, L.
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Conductive Heat Transfer in Thermal Bridges
Encyclopedia, 2022 A thermal bridge is a component of a building that is characterized by a higher thermal loss compared with its surroundings. Their accurate modeling is a key step in energy performance analysis due to the increased awareness of the importance of ...
Mathias Fuchs
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A Variational Quantum Linear Solver Application to Discrete Finite-Element Methods
Entropy, 2023 Finite-element methods are industry standards for finding numerical solutions to partial differential equations. However, the application scale remains pivotal to the practical use of these methods, even for modern-day supercomputers.
Corey Jason Trahan +3 more
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Inflation driven by causal heat flux [PDF]
, 1997 We find a simple inflationary solution in an inhomogeneous spacetime with heat flux. The heat flux obeys a causal transport equation, and counteracts the inflationary decrease of energy density.
D. Pavòn +8 more
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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 +3 more
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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
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Probabilistic representations of solutions to the heat equation [PDF]
, 2003 In this paper we provide a new (probabilistic) proof of a classical result in partial differential equations, viz. if $\phi$ is a tempered distribution, then the solution of the heat equation for the Laplacian, with initial condition $\phi$, is given by ...
Rajeev, B., Thangavelu, S.
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On the projection method for solving the heat equation with lumped heat capacity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThis 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. +1 more
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On a time-optimal control problem for a heat conduction equation with involution [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаIn 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.
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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-Δu+|u|αu=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 +2 more
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