Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Guerra, Graziano"'
Autor:
Bressan, Alberto, Guerra, Graziano
Consider a strictly hyperbolic $n\times n$ system of conservation laws, where each characteristic field is either genuinely nonlinear or linearly degenerate. In this standard setting, it is well known that there exists a Lipschitz semigroup of weak s
Externí odkaz:
http://arxiv.org/abs/2305.10737
Consider a balance law where the flux depends explicitly on the space variable. At jump discontinuities, modeling considerations may impose the defect in the conservation of some quantities, thus leading to non conservative products. Below, we deduce
Externí odkaz:
http://arxiv.org/abs/2304.00587
Autor:
Bressan, Alberto, Guerra, Graziano
Publikováno v:
In Journal of Differential Equations 5 April 2024 387:432-447
Autor:
Guerra, Graziano, Shen, Wen
We study the Cauchy problem of a $3\times 3$ system of conservation laws modeling two--phase flow of polymer flooding in rough porous media with possibly discontinuous permeability function. The system loses strict hyperbolicity in some regions of th
Externí odkaz:
http://arxiv.org/abs/2101.06418
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:
http://arxiv.org/abs/1805.01766
Autor:
Guerra, Graziano, Shen, Wen
Solutions to a class of conservation laws with discontinuous flux are constructed relying on the Crandall-Liggett theory of nonlinear contractive semigroups~\cite{CL}. In particular, the paper studies the existence of backward Euler approximations, a
Externí odkaz:
http://arxiv.org/abs/1803.00493
Autor:
Colombo, Rinaldo M., Guerra, Graziano
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:
http://arxiv.org/abs/1801.06225
Publikováno v:
In Nonlinear Analysis: Real World Applications August 2022 66
Autor:
Colombo, Rinaldo M., Guerra, Graziano
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:
http://arxiv.org/abs/1612.03329
Autor:
Colombo, Rinaldo M., Guerra, Graziano
Two compressible immiscible fluids in 1D and in the isentropic approximation are considered. The first fluid is surrounded and in contact with the second one. As the Mach number of the first fluid vanishes, we prove the rigorous convergence for the f
Externí odkaz:
http://arxiv.org/abs/1509.01717