Found 1,921 Documents (Results 1–100)
Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation. (English) Zbl 07925450
Global existence and large-time behavior for primitive equations with the free boundary. (English) Zbl 07923992
Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities. (English) Zbl 07919161
Global well-posedness and long-time asymptotics of a general nonlinear non-local Burgers equation. (English) Zbl 07919141
The global well-posedness for Klein-Gordon-Hartree equation in modulation spaces. (English) Zbl 07919102
Strichartz estimates and global well-posedness of the cubic NLS on \(\mathbb{T}^2\). (English) Zbl 07919006
Reviewer: Hajer Bahouri (Paris)
The local well-posedness of the coupled Ostrovsky system with low regularity. (English) Zbl 07916230
Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure. (English) Zbl 07910515
Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates. (English) Zbl 07906787
Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis. (English) Zbl 07906412
Well-posedness and blow-up criterion for strong solutions of a class of compressible MHD equations. (English) Zbl 07905817
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation. (English) Zbl 07903731
On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces. (English) Zbl 07903633
Probabilistic well-posedness for the nonlinear wave equation on \(B_2 \times\mathbb{T}\). (English) Zbl 07901516
Well-posedness for the non-integrable periodic fifth order KdV in Bourgain spaces. (English) Zbl 07901515
Local well-posedness of abstract hyperbolic equation with Lipschitz perturbation and non-autonomous operator. (English) Zbl 07901130
Lower bounds on the radius of analyticity for a system of nonlinear quadratic interactions of the Schrödinger-type equations. (English) Zbl 07900952
Global solutions to the three-dimensional inhomogeneous incompressible Phan-Thien-Tanner system with a class of large initial data. (English) Zbl 07900890
Well-Posedness of the Green-Naghdi model for an uneven bottom in presence of the Coriolis effect and surface tension. (English) Zbl 07899518
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton. (English) Zbl 07898589
Reviewer: Alain Brillard (Riedisheim)
Variational and strong variational convexity in infinite-dimensional variational analysis. (English) Zbl 07896742
A revisit to the pressureless Euler-Navier-Stokes system in the whole space and its optimal temporal decay. (English) Zbl 07893974
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. (English) Zbl 07891481
Reviewer: Alain Brillard (Riedisheim)
Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary. (English) Zbl 07890707
Reviewer: Rodica Luca (Iaşi)
Existence and asymptotic stability of mild solution to fractional Keller-Segel-Navier-Stokes system. (English) Zbl 07883058
Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities. (English) Zbl 07882873
Analysis of bulk-surface reaction-sorption-diffusion systems with Langmuir-type adsorption. (English. French summary) Zbl 07882133
Logarithmic spirals in 2d perfect fluids. (Spirales logarithmiques des fluides parfaits en 2d.) (English. French summary) Zbl 07881508
Well-posedness of mild solutions for superdiffusion equations with spatial nonlocal operators. (English) Zbl 07881045
Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation. (English) Zbl 07877974
Well-posedness of the periodic dispersion-generalized Benjamin-Ono equation in the weakly dispersive regime. (English) Zbl 1542.35318
On decay of solutions to some perturbations of the Korteweg-de Vries equation. (English) Zbl 1542.35344
A note on the well-posedness in the energy space for the generalized ZK equation posed on \(\mathbb{R}\times\mathbb{T}\). (English) Zbl 07874570
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows. (English) Zbl 1542.35331
Decay and global well-posedness of the free-boundary incompressible Euler equations with damping. (English) Zbl 1542.35297
On blow-up phenomena for a weakly dissipative periodic two-component \(b\)-family system revisited. (English) Zbl 07871988
Local well-posedness of classical solutions for the kinetic self-organized model of Cucker-Smale type. (English) Zbl 07869413
Well-posedness for a system of diffusion-reaction equations with noncoercive diffusion. (English) Zbl 07869390
Global well-posedness for the inhomogeneous incompressible MHD equations with variable viscosity coefficient and electrical conductivity. (English) Zbl 1542.35319
Ginzburg-Landau equation with fractional Laplacian on a upper-right quarter plane. (English) Zbl 1542.35365
Deep-water and shallow-water limits of the intermediate long wave equation. (English) Zbl 1542.35321
Well-posedness theory for non-homogeneous incompressible fluids with odd viscosity. (English. French summary) Zbl 07864502
Reviewer: Yongqian Zhang (Shanghai)
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas. (English) Zbl 1541.35364
Global well-posedness of chemotaxis-Navier-Stokes system with refined rough initial data in \(\mathbb{R}^d\). (English) Zbl 07862784
Global well-posedness and vanishing parameters limits for the systems of ferrohydrodynamics. (English) Zbl 07862780
On the Cauchy problem for Keller-Segel model with nonlinear chemotactic sensitivity and signal secretion in Besov spaces. (English) Zbl 07861218
Navier-Stokes equations: a millennium prize problem from the point of view of continuation of solutions. (English) Zbl 07856336
The Schrödinger-Korteweg-de Vries system on the half-line. (English) Zbl 07856321
Reviewer: Rémi Carles (Rennes)
Strong well-posedness of the Q-tensor model for liquid crystals: the case of arbitrary ratio of tumbling and aligning effects \(\xi\). (English) Zbl 1542.35315
Reviewer: Alain Brillard (Riedisheim)
Qualitative results for a generalized 2-component Camassa-Holm system with weak dissipation term. (English) Zbl 1541.35090
New lower bounds for the radius of analyticity for the mKdV equation and a system of mKdV-type equations. (English) Zbl 1541.35423
On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation. (English) Zbl 1539.35226
On the well-posedness of the Cauchy problem for the two-component peakon system in \(C^k \cap W^{k,1}\). (English) Zbl 1540.35118
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups. (English) Zbl 1540.35425
Vanishing limit for the three-dimensional incompressible Phan-Thien-Tanner system. (English) Zbl 1539.35161
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane. (English) Zbl 1539.35243
Global well-posedness and vanishing normal stress coefficients for the hydrostatic second-grade fluid equations. (English) Zbl 1540.35315
Reviewer: Changxing Miao (Beijing)
Local well-posedness and regularity criterion for the 3D density-dependent incompressible Maxwell-Navier-Stokes system. (English) Zbl 1539.35163
Asymptotic behavior of the 3D incompressible Navier-Stokes equations with damping. (English) Zbl 1541.35351
Phase transitions in the fractional three-dimensional Navier-Stokes equations. (English) Zbl 1540.35283
Reviewer: Alain Brillard (Riedisheim)
The Kuznetsov and Blackstock equations of nonlinear acoustics with nonlocal-in-time dissipation. (English) Zbl 1537.35246
A new high-order Camassa-Holm-type equation for shallow water waves moving over a shear flow. (English) Zbl 1541.35363
On the global existence of mild solutions to binary-ternary Boltzmann equation in an integrable space. (English) Zbl 1539.35157
Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schrödinger equation with angular regularity. (English) Zbl 1539.35234
Global well-posedness for 2D inhomogeneous asymmetric fluids with large initial data. (English) Zbl 1537.35296
The Schrödinger equation with cubic nonlinearities on the half-line in low regularity spaces. (English) Zbl 1540.35374
Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: single-boundary condition case. (English) Zbl 1539.35225
Long-time behavior for fractional wave equations governed by bi-harmonic operator. (English) Zbl 1537.35098
Sharp well-posedness for the cubic NLS and mKdV in \(H^s(\mathbb{R})\). (English) Zbl 1540.35372
Reviewer: Guido Schneider (Stuttgart)
A model of Plasmodium vivax malaria with delays: mathematical analysis and numerical simulations. (English) Zbl 1540.92236
Analysis of the ensemble Kalman-Bucy filter for correlated observation noise. (English) Zbl 1534.60050
Global solutions for the incompressible Hall-magnetohydrodynamics system around constant equilibrium states. (English) Zbl 1536.35268
Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with \(L^p\) initial datum. (English) Zbl 1536.35110
Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium. (English) Zbl 1536.35274
Well-posedness and decay for 3D non-isothermal Navier-Stokes-Allen-Cahn system in \(\mathbb{R}^3\). (English) Zbl 1536.76111
A rescaled approach for the 3D-Boussinesq system in critical Fourier-Besov spaces. (English) Zbl 1537.35278
On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics. (English) Zbl 1536.35328
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