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When everything is violence, nothing is violence: Response to Koot et al. (2025). [PDF]
Simpson FO +11 more
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Inconsistent Strategies to Mitigate the Effects of Batrachochytrium salamandrivorans, Europe. [PDF]
Böning P +36 more
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Numerical Solution of the Problem of Relaxation Filtration of a Suspension Through a Radial Filter at a Constant Flow Velocity. [PDF]
Brazhenko V +4 more
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On the conservation laws of PDEs
Reports on Mathematical Physics, 1988The covariance of methods for obtaining conservation laws for nonlinear partial differential equations is studied [the second author, Riv. Nuovo Cim. 5, No.4, 1-122 (1982; see the review above) and \textit{A. M. Vinogradov}, J. Math. Anal. Appl. 100, 41-129 (1985; Zbl 0548.58015)].
MARINO V, PRASTARO, Agostino
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On the optimization of a conservation law
Calculus of Variations and Partial Differential Equations, 2004Consider the Cauchy problem for a conservation law and assume that an integral functional on its solution is defined. In this note we obtain an Euler-Lagrange equation for the stationary points of this functional. An application to the optimal management of traffic flows is considered.
COLOMBO, Rinaldo Mario, GROLI ALESSANDRO
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On Stability of Conservation Laws
SIAM Journal on Mathematical Analysis, 1999We consider the Cauchy problem for systems of PDEs of the general form $$ u_t=P_0u + \eps_1P_1u +\eps_2 Q(u) + \sum_j D_j F_j(x,t), \quad u=u(x,t). $$ Here $P_0$ has constant coefficients. The terms $\eps_1 P_1u$ and $\eps_2 Q(u)$ describe linear and nonlinear perturbations, respectively, and $\textstyle\sum_j D_j ...
Kreiss, Gunilla +2 more
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