Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Mark Hoefer"'
Publikováno v:
Nonlinearity. 34:3583-3617
The interaction of an oblique line soliton with a one-dimensional dynamic mean flow is analyzed using the Kadomtsev-Petviashvili II (KPII) equation. Building upon previous studies that examined the transmission or trapping of a soliton by a slowly va
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 478
Resonant Y-shaped soliton solutions to the Kadomtsev–Petviashvili II (KPII) equation are modelled as shock solutions to an infinite family of modulation conservation laws. The fully two-dimensional soliton modulation equations, valid in the zero di
Publikováno v:
Nonlinearity. 33:4114-4132
Reductions of the KP-Whitham system, namely the (2+1)-dimensional hydrodynamic system of five equations that describes the slow modulations of periodic solutions of the Kadomtsev-Petviashvili (KP) equation, are studied. Specifically, the soliton and
Autor:
MARK HOEFER, Yifeng Mao
Conduits generated by the buoyant dynamics between two miscible, Stokes fluids with high viscosity contrast exhibit rich nonlinear wave dynamics. However, little is known about the fundamental wave dispersion properties of the medium. In the present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39936ba02d48ad0086d17c7c1866e876
The interaction of localised solitary waves with large-scale, time-varying dispersive mean flows subject to non-convex flux is studied in the framework of the modified Korteweg–de Vries (mKdV) equation, a canonical model for internal gravity wave p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec56171a9ed76e1db3c69cb98ed289e9
https://nrl.northumbria.ac.uk/id/eprint/47367/1/JFM_2021.pdf
https://nrl.northumbria.ac.uk/id/eprint/47367/1/JFM_2021.pdf
Long time dynamics of the smoothed step initial value problem or dispersive Riemann problem for the Benjamin-Bona-Mahony (BBM) equation $u_t + uu_x = u_{xxt}$ are studied using asymptotic methods and numerical simulations. The catalog of solutions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c6e87d1be9770bef5a40ee1ea4cb623
https://nrl.northumbria.ac.uk/id/eprint/46664/8/sapm.12426.pdf
https://nrl.northumbria.ac.uk/id/eprint/46664/8/sapm.12426.pdf
Unsteady nonlinear magnetization dynamics are studied in an easy-plane ferromagnetic channel subject to spin injection at one edge. The model Landau-Lifshitz equation is known to support steady-state solutions, termed dissipative exchange flows (DEFs
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46acff895611e912f9830bb30b456eaf
http://arxiv.org/abs/2103.10616
http://arxiv.org/abs/2103.10616
The Whitham equation was proposed as a model for surface water waves that combines the quadratic flux nonlinearity $f(u) = \tfrac{1}{2}u^2$ of the Korteweg-de Vries equation and the full linear dispersion relation $\Omega(k) = \sqrt{k\tanh k}$ of uni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9336de5ac264a7a082bc7658a1ed2bfd
http://arxiv.org/abs/2009.02350
http://arxiv.org/abs/2009.02350
The dynamics of initially truncated and bent line solitons for the Kadomtsev-Petviashvili (KPII) equation modelling internal and surface gravity waves are analysed using modulation theory. In contrast to previous studies on obliquely interacting soli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9a7b13c1e207c46d37e9ccba386f216
http://arxiv.org/abs/2007.04368
http://arxiv.org/abs/2007.04368
Autor:
Dmitriy Zusin, Ezio Iacocca, Loic Le Guyader, Alexander Reid, William Schlotter, Tian-Min Liu, Daniel Higley, Giacomo Coslovich, Scott Wandel, Phoebe Tengdin, Sheena Patel, Anatoly Shabalin, Nelson Hua, Stjepan Hrkac, Hans Nembach, Justin Shaw, Sergio Montoya, Adam Blonsky, Christian Gentry, Mark Hoefer, Margaret Murnane, Henry Kapteyn, Eric Fullerton, Oleg Shpyrko, Hermann Durr, Thomas Silva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d49c19bbf3f882f365640708e3249ab9
https://doi.org/10.2172/1969372
https://doi.org/10.2172/1969372