Effects of magnetic field and nonlinear temperature profile on Marangoni convection in micropolar fluid.
Effects of modulation on Rayleigh-Benard convection. I.
Effects of slip and heat generation/absorption on MHD mixed convection flow of a micropolar fluid over a heated stretching surface.
Ein Gewisses Randproblem aus der Theorie der Wärmeleitfähigkeit
Elastoplastic reaction of a container to water freezing
The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
Empirické formule, vyskytující se ve fysikálně chemických aplikacích
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
Enhancement of the traveling front speeds in reaction-diffusion equations with advection
Enthalpy model for heating, melting, and vaporization in laser ablation.
Entropy in Thermodynamics: from Foliation to Categorization
We overview the notion of entropy in thermodynamics. We start from the smooth case using differential forms on the manifold, which is the natural language for thermodynamics. Then the axiomatic definition of entropy as ordering on a set that is induced by adiabatic processes will be outlined. Finally, the viewpoint of category theory is provided, which reinterprets the ordering structure as a category of pre-ordered sets.
Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data
We prove an existence result of entropy solutions for a class of strongly nonlinear parabolic problems in Musielak-Sobolev spaces, without using the sign condition on the nonlinearities and with measure data.
Equation Of Heat Conduction With Finite Wave Speeds
Error control and adaptivity for a phase relaxation model
Error Control and Andaptivity for a Phase Relaxation Model
The phase relaxation model is a diffuse interface model with small parameter ε which consists of a parabolic PDE for temperature θ and an ODE with double obstacles for phase variable χ. To decouple the system a semi-explicit Euler method with variable step-size τ is used for time discretization, which requires the stability constraint τ ≤ ε. Conforming piecewise linear finite elements over highly graded simplicial meshes with parameter h are further employed for space discretization. A posteriori...
Error estimates for Euler forward scheme related to two-phase Stefan problems
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems
In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to ilustrate our theory.
Essai de «thermodynamique rationnelle» des milieux continus
Estimating interactions in binary lattice data with nearest-neighbor property
Estimation of the conductivity in the one-phase Stefan problem : numerical results
Étude sur les surfaces isothermes et sur les courants de chaleur, dans les milieux homogènes chauffés en un de leurs points.