Toward vortex identification based on local pressure-minimum criterion in compressible and variable density flows
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DOI: 10.1017/jfm.2018.465
Abstract: We propose a dynamical vortex definition (the ‘ $\unicode[STIX]{x1D706}_{\unicode[STIX]{x1D70C}}$ definition’) for flows dominated by density variation, such as compressible and multi-phase flows. Based on the search of the pressure minimum in a plane, $\unicode[STIX]{x1D706}_{\unicode[STIX]{x1D70C}}$ defines… read more here.
Keywords: stix x1d70c; stix; unicode stix; stix x1d706 ... See more keywords
Inertial gravity current produced by the drainage of a cylindrical reservoir from an outer or inner edge
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DOI: 10.1017/jfm.2019.452
Abstract: We consider the time-dependent flow of a fluid of density $\unicode[STIX]{x1D70C}_{1}$ in a vertical cylindrical container embedded in a fluid of density $\unicode[STIX]{x1D70C}_{2}~({ read more here.
Keywords: stix x1d70c; gravity; unicode stix; reservoir ... See more keywords
$L^{p}$ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS
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DOI: 10.1017/s1474748017000123
Abstract: Given a compact Lie group $G$ , in this paper we establish $L^{p}$ -bounds for pseudo-differential operators in $L^{p}(G)$ . The criteria here are given in terms of the concept of matrix symbols defined on… read more here.
Keywords: stix x1d70c; stix; stix x1d6ff; unicode stix ... See more keywords
PROJECTIVE STRUCTURES AND $\unicode[STIX]{x1D70C}$-CONNECTIONS
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DOI: 10.1017/s1474748018000129
Abstract: We extend T. Y. Thomas’s approach to projective structures, over the complex analytic category, by involving the $\unicode[STIX]{x1D70C}$-connections. This way, a better control of projective flatness is obtained and, consequently, we have, for example, the… read more here.
Keywords: x1d70c connections; projective structures; structures unicode; stix x1d70c ... See more keywords
Motivic and real étale stable homotopy theory
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DOI: 10.1112/s0010437x17007710
Abstract: Let $S$ be a Noetherian scheme of finite dimension and denote by $\unicode[STIX]{x1D70C}\in [\unicode[STIX]{x1D7D9},\mathbb{G}_{m}]_{\mathbf{SH}(S)}$ the (additive inverse of the) morphism corresponding to $-1\in {\mathcal{O}}^{\times }(S)$ . Here $\mathbf{SH}(S)$ denotes the motivic stable homotopy category. We… read more here.
Keywords: stix x1d70c; real tale; unicode stix; stable homotopy ... See more keywords
Minimally ramified deformations when $\ell \neq p$
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DOI: 10.1112/s0010437x18007546
Abstract: Let $p$ and $\ell$ be distinct primes, and let $\overline{\unicode[STIX]{x1D70C}}$ be an orthogonal or symplectic representation of the absolute Galois group of an $\ell$ -adic field over a finite field of characteristic $p$ . We… read more here.
Keywords: minimally ramified; overline unicode; stix x1d70c; unicode stix ... See more keywords