Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

Together, these results demonstrate that the highest cytokine production observed in Vav1 R63W KI mice in response to the immunizing antigen is associated with an increased frequency

However with an additional control g(t) as in (1) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [8] that in the framework of classical solutions, any regular state

- Multivalued solutions with a limited number of branches of the inviscid Burgers equation can be obtained by solving closed systems of moment equations.. For this

However with an additional control g(t) as in (1) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [8] that in the framework of classical solutions, any regular state

In [25], the authors apply to moment- SOS hierarchy to solve optimal control problems of ordinary differential equations, and it was shown in [31] that it provides a sequence

We shall see how geometric optics applies to Maxwell’s equations (from optics, ferromagnetism,. ), to the wave or Klein-Gordon equation, to fluid dynamics and plasma physics, to

In [7], the authors prove that solutions to the Vlasov–Poisson–Fokker–Planck system converge in the high field limit to solutions of (1.1) where a(u) = u in the repulsive case and

We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and