… We show that the above system admits a unique global classical solution for all non-… with
some constant c0 > 0, we show the problem (1.3) admits a unique global classical solution in …

… they obtain the global weak solutions to the compressible … establish the global existence of
both weak and classical solutions (… conditions for ϑ provided that the initial energy is suitably …

… the expansion rates of the essential support of the density, we establish the global existence
and uniqueness of classical solutions (… spatial dimensions, provided the smooth initial data …

… as the spherically or cylindrically symmetric solutions. Specifically, we will study the global
classical large solutions to the … The key point is to obtain the strict positive lower and upper …

… the parameters \(\chi _i,\mu _i,\lambda _i, a, b\) and N, we prove the global existence and
boundedness of classical solutions \… study the spreading properties of global classical solutions …

… under the same boundary assumptions (1.4) combined with the no… the above works, the
purpose of this paper is to establish the global solvability and boundedness of classical solutions …

… thereby establish a result on global existence in the framework of classical solutions, we shall
… indeed reveal global classical solvability, without any further restriction eg on the size of ( u …

… { 0 , 1 } and the nonnegative motility function ϕ admits the degenerate case: ϕ ( 0 ) = 0 . It is
shown that for any appropriately regular initial data, global classical solutions of ( ⋆ ) can be …

… of the Riemann invariants with a non-dissipative source. We provide a new result for the
global existence of classical solutions to … balance laws without the assumption of small data. …

… It is shown that if the initial data is sufficiently … the problem possesses a unique global-in-time
classical bounded solution. Furthermore, by the method of Lyapunov functionals, the global …