Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Johanna Ridder"'
Publikováno v:
Journal of Differential Equations. 269:1571-1611
The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order to maximize the captured sunlight, subject to a cost for transporting
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36da186dcbb0d748e69ba6a8ec876264
https://doi.org/10.1016/j.jde.2020.01.013
https://doi.org/10.1016/j.jde.2020.01.013
Autor:
Johanna Ridder, Helge Kristian Jenssen
Publikováno v:
SIAM Journal on Mathematical Analysis. 52:3114-3130
We show that the Kružkov solution of the Cauchy problem for a scalar conservation law in one spatial dimension propagates regulated initial data into regulated solutions at later times. The proof i...
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https://explore.openaire.eu/search/publication?articleId=doi_________::56545ed8cdafb0e739a472d870a59f2d
https://doi.org/10.1137/19m1267957
https://doi.org/10.1137/19m1267957
Publikováno v:
BIT Numerical Mathematics. 57:93-122
We prove the convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky-Hunter equation on a bounded domain with periodic boundary conditions. The equation models, for example, shallow water waves in a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc4f4b76f6347d3697506b497cf64b63
https://doi.org/10.1007/s10543-016-0625-x
https://doi.org/10.1007/s10543-016-0625-x
Autor:
Johanna Ridder
Publikováno v:
SIAM Journal on Numerical Analysis. 54:3550-3576
We investigate a finite difference scheme for the two-dimensional, incompressible magnetohydrodynamics equations that was introduced in [J.-G. Liu and W.-C. Wang, J. Comput. Phys., 174 (2001), pp. 12--37]. It uses central difference and averaging ope
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https://doi.org/10.1137/15m1042024
https://doi.org/10.1137/15m1042024
Autor:
Johanna Ridder, Wen Shen
We consider several nonlocal models for traffic flow, including both microscopic ODE models and macroscopic PDE models. The ODE models describe the movement of individual cars, where each driver adjusts the speed according to the road condition over
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a72cad4f09e8fe016ef2e0d2700e864a
Autor:
Peder Aursand, Johanna Ridder
Publikováno v:
Communications in Computational Physics. 18:147-166
We consider the dynamics of the director in a nematic liquid crystal when under the influence of an applied electric field. Using an energy variational approach we derive a dynamic model for the director including both dissipative and inertial forces
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https://explore.openaire.eu/search/publication?articleId=doi_________::de1ac47339e18f70f1d6c68349be5dde
https://doi.org/10.4208/cicp.220414.231214a
https://doi.org/10.4208/cicp.220414.231214a
The variational heat equation is a nonlinear, parabolic equation not in divergence form that arises as a model for the dynamics of the director field in a nematic liquid crystal. We present a finite difference scheme for a transformed, possibly degen
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c95b951a7c46266d9f186d04c3e0d4f0
http://hdl.handle.net/11589/93814
http://hdl.handle.net/11589/93814
We propose an implicit finite-difference method to study the time evolution of the director field of a nematic liquid crystal under the influence of an electric field with weak anchoring at the boundary. The scheme allows us to study the dynamics of
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a071b7b3cb9c33bc5ffc569ea65abb26
https://hdl.handle.net/11587/408383
https://hdl.handle.net/11587/408383
Autor:
Johanna Ridder, Adrian Montgomery Ruf
Publikováno v:
BIT Numerical Mathematics
We prove convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky--Hunter equation on a bounded domain with non-homogeneous Dirichlet boundary conditions. Our scheme is an extension of monotone schem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e6d17a2e0753a53097b4f8d6c083c3d