The Hele-Shaw equation arises in modeling the motion of viscous droplets spreading over a solid surface. It models also the diffusion of dopant in semiconductors. In this paper, we prove the existence of the solutions of the Cauchy problem associated with this equation.
H1-Solutions for the Hele-Shaw Equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: VIETNAM JOURNAL OF MATHEMATICS. - ISSN 2305-221X. - STAMPA. - 49:3(2021), pp. 673-683. [10.1007/s10013-020-00448-6]
H1-Solutions for the Hele-Shaw Equation
Coclite, Giuseppe Maria
;
2021-01-01
Abstract
The Hele-Shaw equation arises in modeling the motion of viscous droplets spreading over a solid surface. It models also the diffusion of dopant in semiconductors. In this paper, we prove the existence of the solutions of the Cauchy problem associated with this equation.File in questo prodotto:
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