Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Hiroki Ohwa"'
Publikováno v:
Journal of Hyperbolic Differential Equations. 19:203-226
We estimate the [Formula: see text] distance between piecewise constant solutions to the Cauchy problem of scalar conservation laws and propose a sufficient condition for having an [Formula: see text] contraction of such solutions. Moreover, we prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::becc8e643992225f5c642b60b3c31af2
https://doi.org/10.1142/s0219891622500059
https://doi.org/10.1142/s0219891622500059
Autor:
Takanori Ebata, Hiroki Ohwa
Publikováno v:
Nonlinear Analysis: Real World Applications. 73:103893
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97167ced86e3722b8c92d993c70a313e
https://doi.org/10.1016/j.nonrwa.2023.103893
https://doi.org/10.1016/j.nonrwa.2023.103893
Autor:
Hiroki Ohwa
Publikováno v:
Quarterly of Applied Mathematics. 80:259-275
We estimate the L p L^p ( p > 0 p>0 ) local distance between piecewise constant solutions to the Cauchy problem of conservation laws and propose a shock admissibility condition for having an L p L^p local contraction of such solutions. Moreover, as a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a60f53493a3625533da56e12be3becb
https://doi.org/10.1090/qam/1610
https://doi.org/10.1090/qam/1610
Autor:
Takanori Ebata, Hiroki Ohwa
Publikováno v:
Nonlinear Analysis: Real World Applications. 69:103717
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4308d344cfdcf5af9b4ce6fb6edeb90
https://doi.org/10.1016/j.nonrwa.2022.103717
https://doi.org/10.1016/j.nonrwa.2022.103717
Autor:
Hiroki Ohwa, Yoshimasa Sasaki
Publikováno v:
Journal of Mathematical Analysis and Applications. 491:124385
We prove the stability of approximate solutions constructed by the wave front tracking method for the Cauchy problem of scalar conservation laws. The ideas of the proof are based upon an application of the proof technique of the uniqueness theorem to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8987d8f7125aa76b505afa88fdae1de
https://doi.org/10.1016/j.jmaa.2020.124385
https://doi.org/10.1016/j.jmaa.2020.124385
Autor:
Hiroki Ohwa
Publikováno v:
Applicable Analysis. 92:1008-1027
We consider the Riemann problem for a class of 2 × 2 systems of conservation laws which do not satisfy the strictly hyperbolicity condition. Our main assumption is that the product of non-diagonal elements within the Fŕechet derivative (Jacobian) o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6701542c52ee63e886580bfc553292e0
https://doi.org/10.1080/00036811.2011.643785
https://doi.org/10.1080/00036811.2011.643785
Autor:
Hiroki Ohwa
Publikováno v:
Journal of Mathematical Analysis and Applications. 397:172-181
We present a new version of the wave-front tracking algorithm for 2×2 hyperbolic systems of conservation laws. The analysis in this paper is simpler than in the previous algorithms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8014a2c4fc29f6d74acdaefe5c60c400
https://doi.org/10.1016/j.jmaa.2012.07.044
https://doi.org/10.1016/j.jmaa.2012.07.044
Autor:
Hiroki Ohwa
Publikováno v:
Quarterly of Applied Mathematics. 71:283-288
We consider strong travelling wave profiles for a class of 2 × 2 2\times 2 viscous conservation laws. Our main assumption is that the product of nondiagonal elements within the Fŕechet derivative (Jacobian) of the flux is nonnegative. By using the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50655efe08b5029b6b062d59e09c5270
https://doi.org/10.1090/s0033-569x-2012-01301-0
https://doi.org/10.1090/s0033-569x-2012-01301-0
Autor:
Hiroki Ohwa
Publikováno v:
Quarterly of Applied Mathematics. 70:345-356
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c370c131f2f74c6d43d7ca5e0f49a689
https://doi.org/10.1090/s0033-569x-2012-01254-5
https://doi.org/10.1090/s0033-569x-2012-01254-5
Autor:
Hiroki Ohwa, Kazuo Kobayasi
Publikováno v:
Journal of Differential Equations. 252:137-167
We study the comparison principle for anisotropic degenerate parabolic–hyperbolic equations with initial and nonhomogeneous boundary conditions. We prove a comparison theorem for any entropy sub- and super-solution, which immediately deduces the L1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3975ea0fdc2dd74996a63fd8bd24ccda
https://doi.org/10.1016/j.jde.2011.09.008
https://doi.org/10.1016/j.jde.2011.09.008