On a weighted trace embedding and applications to critical boundary problems †
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DOI: 10.1002/mana.201900012
Abstract: We prove a weighted Sobolev trace embedding in the upper half‐space and give its best constant. This embedding can be employed to study a number of critical boundary problems. In this direction, we obtain existence… read more here.
Keywords: embedding applications; trace embedding; weighted trace; critical boundary ... See more keywords
Numerical solution of moving boundary problems using a new hybrid grid and Meshless method
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DOI: 10.1016/j.enganabound.2019.02.008
Abstract: Abstract In the present paper, a new hybrid numerical technique is developed to solve phase change problems with moving boundaries. A hybrid collocation and grid method based radial basis function is derived herein with simultaneous… read more here.
Keywords: method; moving boundary; new hybrid; compared available ... See more keywords
Generic properties of free boundary problems in plasma physics
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DOI: 10.1088/1361-6544/ac3923
Abstract: We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. We show that in general, in the sense of domain variations, the following alternative holds: either… read more here.
Keywords: free boundary; physics; properties free; plasma physics ... See more keywords
Quantitative stratification for some free-boundary problems
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DOI: 10.1090/tran/7401
Abstract: In this paper we prove the rectifiability of and measure bounds on the singular set of the free boundary for minimizers of a functional first considered by Alt-Caffarelli. Our main tools are the Quantitative Stratification… read more here.
Keywords: quantitative stratification; stratification free; boundary problems; free boundary ... See more keywords
Boundary problems on a manifold with edge
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DOI: 10.1142/s1793557117500875
Abstract: We establish a calculus of boundary value problems (BVPs) on a manifold N with boundary and edge, based on Boutet de Monvel’s theory of BVPs in the case of a smooth boundary and on the… read more here.
Keywords: problems manifold; boundary edge; edge; manifold edge ... See more keywords