Search Results - "OGAWA, TAKAYOSHI"

Global well-posedness for the Sobolev critical nonlinear Schrödinger system in four space dimensions by Ogawa, Takayoshi, Tsuhara, Shun

“…We consider the Cauchy problem of the 3-component system of nonlinear Schrödinger equations with cubic nonlinearity in four space dimensions. The system is…”
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Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller–Segel system by Ogawa, Takayoshi, Suguro, Takeshi

“…We consider the singular limit problem for the Cauchy problem of the (Patlak–) Keller–Segel system of parabolic-parabolic type. The problem is considered in…”
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Local well-posedness and finite time blow-up of solutions to an attraction–repulsion chemotaxis system in higher dimensions by Hosono, Tatsuya, Ogawa, Takayoshi

“…We consider the Cauchy problem for an attraction–repulsion chemotaxis system in Rn with the chemotactic coefficients of the attractant β1 and the repellent β2…”
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Free boundary problems of the incompressible Navier–Stokes equations with non-flat initial surface in the critical Besov space by Ogawa, Takayoshi, Shimizu, Senjo

“…Global well-posedness of the Navier–Stokes equations with a free boundary condition is considered in the scaling critical homogeneous Besov spaces B ˙ p , 1 -…”
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Global well-posedness for the incompressible Navier–Stokes equations in the critical Besov space under the Lagrangian coordinates by Ogawa, Takayoshi, Shimizu, Senjo

“…We consider global well-posedness of the Cauchy problem of the incompressible Navier–Stokes equations under the Lagrangian coordinates in scaling critical…”
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Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case by Ogawa, Takayoshi, Suguro, Takeshi

“…We consider asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case. In the degenerate drift-diffusion equation, it is…”
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Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework by Kawashima, Shuichi, Nakasato, Ryosuke, Ogawa, Takayoshi

“…We consider the global existence of solution for the initial value problem for the compressible Hall-magnetohydrodynamic system in the whole space R3. The…”
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Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions by Ogawa, Takayoshi, Suguro, Takeshi, Wakui, Hiroshi

“…We show the finite time blow up of a solution to the Cauchy problem of a drift-diffusion equation of a parabolic-elliptic type in higher space dimensions. If…”
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Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier–Sobolev space by Matsui, Tatsuya, Nakasato, Ryosuke, Ogawa, Takayoshi

“…We study the Cauchy problem of the incompressible damped wave type magnetohydrodynamic system in RN(N≥2). The purpose of this paper is to show the global…”
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Singular limit problem for the Keller–Segel system and drift–diffusion system in scaling critical spaces by Kurokiba, Masaki, Ogawa, Takayoshi

“…We consider a singular limit problem for the Cauchy problem of the Keller–Segel equation in a critical function space. We show that a solution to the…”
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The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane by Ogawa, Takayoshi, Sato, Takuya, Tsuhara, Shun

“…We consider the initial-boundary value problem of the nonlinear Schrödinger equation on the half plane with a nonlinear Neumann boundary condition. After…”
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Maximal L1-regularity for parabolic initial-boundary value problems with inhomogeneous data by Ogawa, Takayoshi, Shimizu, Senjo

“…End-point maximal L 1 -regularity for parabolic initial-boundary value problems is considered. For the inhomogeneous Dirichlet and Neumann data, maximal L 1…”
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Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane by Ogawa, Takayoshi, Sato, Takuya, Tsuhara, Shun

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Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space by Ogawa, Takayoshi, Shimizu, Senjo

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Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas by Iwabuchi, Tsukasa, Ogawa, Takayoshi

“…We study the ill-posedness issue for the compressible viscous heat-conductive flows in two dimensions. In the scaling invariant spaces, negative regularity of…”
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L2-decay rate for the critical nonlinear Schrödinger equation with a small smooth data by Ogawa, Takayoshi, Sato, Takuya

“…We consider the Cauchy problem for the one dimensional nonlinear dissipative Schrödinger equation with a cubic nonlinearity λ | u | 2 u , where λ ∈ C with Im …”
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Finite time blow up for a solution to system of the drift–diffusion equations in higher dimensions by Kurokiba, Masaki, Ogawa, Takayoshi

“…We discuss the existence of a blow-up solution for a multi-component parabolic–elliptic drift–diffusion model in higher space dimensions. We show that the…”
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Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces by Chikami, Noboru, Ogawa, Takayoshi

“…We consider the Cauchy problem of the compressible Navier–Stokes system coupled with a Poisson equation. We give the optimal well-posedness in terms of scaling…”
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Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data by Hayashi, Nakao, Kaikina, Elena I., Ogawa, Takayoshi

“…We consider the inhomogeneous Dirichlet-boundary value problem with large initial and boundary data for nonlinear Schrödinger equations in one space dimension…”
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Large time behavior of solutions for a system of nonlinear damped wave equations by Ogawa, Takayoshi, Takeda, Hiroshi

“…We consider the Cauchy problem of the semilinear damped wave system: { ∂ t 2 u − Δ u + ∂ t u = F ( u ) , t > 0 , x ∈ R n , u j ( 0 , x ) = a j ( x ) , ∂ t u j…”
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