It describes the derivation of the governing differential equation for one-dimensional heat transfer problem under boundary conditions. A fin is a common example of a one-dimensional heat transfer problem. One
Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem, J. Math. Anal. Appl. 336 (2007), 865-887.Benabdallah A, Dermenjian Y, Le Rousseau J. Carleman estimates for the one-dimensional heat equation ...
Deconvoluting cell-state abundances from bulk RNA-sequencing data can add considerable value to existing data, but achieving fine-resolution and high-accuracy deconvolution remains a challenge. Here we introduce MeDuSA, a mixed model-based method that le
Dotsenko, V.: Bethe ansatz derivation of the Tracy–Widom distribution for one-dimensional directed polymers. Europhys. Lett. 90, 200003 (2010) Article Google Scholar Oxford, S.C.: The hamiltonian of the quantized non-linear Schrödinger equation, Ph.D. Thesis, UCLA (1979) Calabrese, P....
To providecompact open-source codes\(^2\)for the Bayesian inversion method for one-dimensional analysis in the context of: i Elasticity, ii Heat equation with convection, iii Elastoplasticity, iv Phase-field fracture for brittle materials,
The UNSATCHEM software Package for Simulating the One-Dimensional Variably Saturated Water Flow, Heat Transport, Carbon Dioxide Production and Transport, and Multicomponent Solute Transport with Major Ion Equilibrium and Kinetic Chemistry Version 2 .O Research Report No. 141 November, 1996 U. S. ...
the structure of the equations, and the properties of one dimension, we establish the global existence and uniqueness of strong and classical solutions to the initial boundary value problem of compressible Navier–Stokes/Allen–Cahn system in one-dimensional bounded domain with the viscosity depending ...
By using the integral transform and the dual integral equation technique, Zhou and Li (2019) solved Yoffe-type moving crack problems under the action of anti-plane shear and an in-plane electric field in 1D hexagonal piezoelectric QCs. However, fracture behavior in practice is three-dimensional ...
We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By breaking the solidification process into the relevant time regimes we are able to reduce the problem to a system...
The general idea to represent solutions to Kac-like equations in a probabilistic way dates back at least to McKean [18]; this approach has been fully formalized and 123 Central limit theorem for a class of one-dimensional kinetic equations 79 employed in the derivation of various analytical ...