Výsledky vyhledávání - "Robinson, J C"

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Partial regularity for a surface growth model

Publikováno v: SIAM J. Math. Anal. 51(1), pp. 228-255, 2019

We prove two partial regularity results for the scalar equation $u_t+u_{xxxx}+\partial_{xx}u_x^2=0$, a model of surface growth arising from the physical process of molecular epitaxy. We show that the set of space-time singularities has (upper) box-co

Externí odkaz: http://arxiv.org/abs/1710.07625

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A Necessary and Suffcient Condition for Uniqueness of the Trivial Solution in Semilinear Parabolic Equations

Autor: Laister, R., Robinson, J. C., Sierzega, M.

Publikováno v: Journal of Differential Equations, 262 (10). pp. 4979-4987 (2017)

In their 1968 paper Fujita and Watanabe considered the issue of uniqueness of the trivial solution of semilinear parabolic equations with respect to the class of bounded, non-negative solutions. In particular they showed that if the underlying ODE ha

Externí odkaz: http://arxiv.org/abs/1701.04860

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Higher order commutator estimates and local existence for the non-resistive MHD equations and related models

Autor: Fefferman, C. L., McCormick, D. S., Robinson, J. C., Rodrigo, J. L.

This paper establishes the local-in-time existence and uniqueness of strong solutions in $H^{s}$ for $s > n/2$ to the viscous, non-resistive magnetohydrodynamics (MHD) equations in $\mathbb{R}^{n}$, $n=2, 3$, as well as for a related model where the

Externí odkaz: http://arxiv.org/abs/1401.5018

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