Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Graziano Guerra"'
Autor:
Graziano Guerra, Wen Shen
Publikováno v:
SIAM Journal on Mathematical Analysis. 51:3112-3144
Solutions to a class of one-dimensional conservation laws with discontinuous flux are constructed relying on the Crandall--Liggett theory of nonlinear contractive semigroups [H. Brézis and A. Pazy, J. Functional Analysis, 9 (1972), pp. 63--74, M. G.
Publikováno v:
Nonlinear Analysis: Real World Applications. 66:103539
Fluid flow in pipes with discontinuous cross section or with kinks is described through balance laws with a non conservative product in the source. At jump discontinuities in the pipes’ geometry, the physics of the problem suggests how to single ou
Publikováno v:
In Computers and Geosciences 2009 35(1):49-69
Autor:
Graziano Guerra, Rinaldo M. Colombo
Publikováno v:
Applied Mathematics Letters. 62:69-75
Consider a problem consisting of conservation laws coupled with ordinary differential equations through boundary conditions. We provide a characterization of the solutions by means of metric tangent vectors, thus guaranteeing the uniqueness of the so
A coupling between a 1D compressible-incompressible limit and the 1D p-system in the non smooth case
Autor:
Veronika Schleper, Graziano Guerra
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 47:381-396
We consider two compressible immiscible fluids in one space dimension and in the isentropic approximation. The first fluid is surrounded and in contact with the second one. As the sound speed of the first fluid diverges to infinity, we prove the rigo
In this paper we introduce a concept of "regulated function" $v(t,x)$ of two variables, which reduces to the classical definition when $v$ is independent of $t$. We then consider a scalar conservation law of the form $u_t+F(v(t,x),u)_x=0$, where $F$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d40b29de2f96b6f782f204f8cfc7c66
http://arxiv.org/abs/1805.01766
http://arxiv.org/abs/1805.01766
Autor:
Graziano Guerra, Rinaldo M. Colombo
Consider two hyperbolic systems of conservation laws in one space dimension with the same eigenvalues and (right) eigenvectors. We prove that solutions to Cauchy problems with the same initial data differ at third order in the total variation of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70606c173839e69a012f16986f7aad2a
http://hdl.handle.net/11379/506375
http://hdl.handle.net/11379/506375
Autor:
Graziano Guerra, Wen Shen
We consider the solutions of Riemann problems for polymer flooding models. In a suitable Lagrangian coordinate the systems take a triangular form, where the equation for thermodynamics is decoupled from the hydrodynamics, leading to the study of scal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1533166fcabc4727838b4d66619a7f0c
http://hdl.handle.net/10281/298058
http://hdl.handle.net/10281/298058
Autor:
Graziano Guerra, Rinaldo M. Colombo
Consider two compressible immiscible fluids in 1D in the isentropic approximation. The first fluid is surrounded and in contact with the second one. As the Mach number of the first fluid vanishes, the coupled dynamics of the two fluids results as the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbc3ffbf7b0b86a1d82e8ca65d1808f3
http://hdl.handle.net/11379/499464
http://hdl.handle.net/11379/499464
Autor:
Graziano Guerra, Wen Shen
Publikováno v:
Journal of Differential Equations. 256:253-282
We study an integro-differential equation that describes the slow erosion of granular flow. The equation is a first order non-linear conservation law where the flux function includes an integral term. We show that there exist unique traveling wave so