The Landau equation is studied for hard potential with-2≤γ≤1.Under a perturbation setting,a unique global solution of the Cauchy problem to the Landau equation is established in a critical Sobolev space H_(x)^(d)L_...The Landau equation is studied for hard potential with-2≤γ≤1.Under a perturbation setting,a unique global solution of the Cauchy problem to the Landau equation is established in a critical Sobolev space H_(x)^(d)L_(v)^(2)(d>3/2),which extends the results of[11]in the torus domain to the whole space R_(x)^(3).Here we utilize the pseudo-differential calculus to derive our desired result.展开更多
No specific anatomic abnormalities have been detected in typical Landau Kleff ner syndrome (LKS), an acquired epileptic aphasia with language regression in ch ildren. In four children with typical LKS without obvious ...No specific anatomic abnormalities have been detected in typical Landau Kleff ner syndrome (LKS), an acquired epileptic aphasia with language regression in ch ildren. In four children with typical LKS without obvious anatomic abnormalities , the authors performed MRI volumetric analysis of various neocortical regions a nd subcortical substructures. Volume reduction was detected in bilateral superio r temporal areas (26 to 51%), specifically in planum temporale (25 to 63%) and superior temporal gyrus (25 to 57%), where receptive language is localized.展开更多
In this paper,we prove that there exists a unique local solution for the Cauchy problem of a system of the incompressible Navier-Stokes-Landau-Lifshitz equations with the Dzyaloshinskii-Moriya interaction and V-flow t...In this paper,we prove that there exists a unique local solution for the Cauchy problem of a system of the incompressible Navier-Stokes-Landau-Lifshitz equations with the Dzyaloshinskii-Moriya interaction and V-flow term inR^(2) and R^(3).Our methods rely upon approximating the system with a perturbed parabolic system and parallel transport.展开更多
文摘The Landau equation is studied for hard potential with-2≤γ≤1.Under a perturbation setting,a unique global solution of the Cauchy problem to the Landau equation is established in a critical Sobolev space H_(x)^(d)L_(v)^(2)(d>3/2),which extends the results of[11]in the torus domain to the whole space R_(x)^(3).Here we utilize the pseudo-differential calculus to derive our desired result.
文摘No specific anatomic abnormalities have been detected in typical Landau Kleff ner syndrome (LKS), an acquired epileptic aphasia with language regression in ch ildren. In four children with typical LKS without obvious anatomic abnormalities , the authors performed MRI volumetric analysis of various neocortical regions a nd subcortical substructures. Volume reduction was detected in bilateral superio r temporal areas (26 to 51%), specifically in planum temporale (25 to 63%) and superior temporal gyrus (25 to 57%), where receptive language is localized.
文摘In this paper,we prove that there exists a unique local solution for the Cauchy problem of a system of the incompressible Navier-Stokes-Landau-Lifshitz equations with the Dzyaloshinskii-Moriya interaction and V-flow term inR^(2) and R^(3).Our methods rely upon approximating the system with a perturbed parabolic system and parallel transport.
