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Optimal regularity of solution to a degenerate elliptic system arising in electromagnetic fields
- H. Yin
- Mathematics
- 1 December 2001
In this paper we prove a fundamental estimate for the weak solution of
a degenerate elliptic system:
$\nabla\times [\rho(x)\nabla\times H]=F$, $\nabla\cdot H=0$
in a bounded domain
in $R^3$,…
Regularity of weak solution to Maxwell's equations and applications to microwave heating
- H. Yin
- Mathematics
- 1 June 2004
A degenerate evolution system modeling bean's critical-state type-II superconductors
- H. Yin, Benliang Li, J. Zou
- Mathematics
- 1 April 2002
In this paper we study a degenerate evolution system
$\mathbf H_t +\nabla \times [|\nabla \times \mathbf H|^{p-2}\nabla \times \mathbf H]=\mathbf F$ in a bounded domain as well as its limit as $p\to…
On a class of parabolic equations with nonlocal boundary conditions
- H. Yin
- Mathematics
- 15 June 2004
An optimal control problem for microwave heating
- Wei Wei, H. Yin, Juming Tang
- Mathematics
- 1 March 2012
Existence and regularity of a weak solution to Maxwell's equations with a thermal effect
- H. Yin
- Mathematics
- 10 July 2006
This paper deals with Maxwell's equations with a thermal effect, where the electric conductivity strongly depends on the temperature. It is shown that the coupled system has a global weak solution…
On two-phase Stefan problem arising from a microwave heating process
- V. Manoranjan, H. Yin, R. Showalter
- Mathematics
- 1 May 2006
In this paper we study a free boundary problem modeling a
phase-change process by using microwave heating. The mathematical
model consists of Maxwell's equations coupled with nonlinear heat …
The Semiconductor System with Temperature Effect
- H. Yin
- Mathematics
- 15 November 1995
In this paper we study the semiconductor system with temperature effect. The electric conductivity in the system is assumed to be temperature-dependent. By taking the Joule heating produced by the…
On Maxwell's Equations with a Temperature Effect, II
- R. Glassey, H. Yin
- Mathematics
- 1 June 1998
Abstract:In this paper we study Maxwell's equations with a thermal effect. This system models an induction heating process where the electric conductivity σ strongly depends on the temperature $u$.…
Thermal Characteristics of Mixed Electroosmotic and Pressure-Driven Microflows
- P. Dutta, K. Horiuchi, H. Yin
- PhysicsComput. Math. Appl.
- 1 September 2006
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