Found 2,707 Documents (Results 1–100)
Asymptotic behavior near the boundary of a large solution to semilinear Poisson equation with double-power nonlinearity. (English) Zbl 07930604
Existence and asymptotic behaviors to a nonlinear fourth-order parabolic equation with a general source. (English) Zbl 07927138
Construction of multi-bubble blow-up solutions to the \(L^2\)-critical half-wave equation. (English) Zbl 07926117
Partial mass concentration for fast-diffusions with non-local aggregation terms. (English) Zbl 07923503
Boundedness and finite-time blow-up in a Keller-Segel chemotaxis-growth system with flux limitation. (English) Zbl 07920876
Optimal decay rate and blow-up of solution for a classical thermoelastic system with viscoelastic damping and nonlinear sources. (English) Zbl 07920870
Local and global solutions for a subdiffusive parabolic-parabolic Keller-Segel system. (English) Zbl 07920858
Growth and blow-up of solutions with positive initial energy for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, delay and balakrishnan-Taylor damping terms. (English) Zbl 07920736
The Cauchy problem for general nonlinear wave equations with doubly dispersive. (English) Zbl 07919914
Global-in-space stability of singularity formation for Yang-Mills fields in higher dimensions. (English) Zbl 07919093
Global solutions and blow-up for Klein-Gordon equation with damping and logarithmic terms. (English) Zbl 07916299
Blow-up of positive solutions for the semilinear heat equation with a potential. (English) Zbl 07915847
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential. (English) Zbl 07914770
Scattering of an inhomogeneous coupled Schrödinger system in the conformal space. (English) Zbl 07912327
Large densities in a competitive two-species chemotaxis system in the non-symmetric case. (English) Zbl 07908365
Majda and ZND models for detonation: nonlinear stability vs. formation of singularities. (English) Zbl 07906802
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation. (English) Zbl 07903731
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis. (English) Zbl 07903727
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. (English) Zbl 07901502
Sharp thresholds of blowup and uniform bound for a Schrödinger system with second-order derivative-type and combined power-type nonlinearities. (English) Zbl 07899492
Long time decay of incompressible convective Brinkman-Forchheimer in \(L^2(\mathbb{R}^3)\). (English) Zbl 07899055
Analysis of a free boundary tumor model with time-dependent in the presence of inhibitors. (English) Zbl 07896886
Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equation towards stationary waves. (English) Zbl 07896253
Thermo-elastic and thermo-piezo-elastic interaction crack type boundary-transmission problems with regard to the microrotation. (English) Zbl 07887450
Reviewer: Song Jiang (Beijing)
MSC:
35Q74
35B65
35B40
35A01
35A02
35C15
35D30
35J47
35J57
35S05
45M05
47A50
47G30
47G40
74A15
74E30
74F05
74F15
74G70
74H35
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions. (English) Zbl 1543.35035
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity. (English) Zbl 1543.35051
Renormalization and existence of finite-time blow-up solutions for a one-dimensional analogue of the Navier-Stokes equations. (English) Zbl 1543.35136
Soliton resolution for the radial quadratic wave equation in space dimension 6. (English) Zbl 1543.35111
A note on a mixed pseudo-parabolic Kirchhoff equation with logarithmic damping. (English) Zbl 1543.35104
Blow-up and global existence of solutions to degenerate Kirchhoff equation with variable source. (English) Zbl 1542.35083
Some results for a von Kármán equation with variable exponent modeling suspension bridges. (English) Zbl 1542.35243
Blow-up and decay of solutions for a viscoelastic Kirchhoff-type equation with distributed delay and variable exponents. (English) Zbl 07871693
Gradient blow-up for dispersive and dissipative perturbations of the Burgers equation. (English) Zbl 1542.35345
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in \(\mathbb{R}^3\). (English) Zbl 1542.35292
General decay and blow up of solutions for a plate viscoelastic \(p(x)\)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback. (English) Zbl 1542.35055
Blow-up and decay for a class of pseudo-parabolic equation with \(p\)-Laplacian operator and nonlinearity source. (English) Zbl 1542.35080
Remarks on the smoothness of the \(C^{1,\alpha}\) asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations. (English) Zbl 1541.35368
Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents. (English) Zbl 1540.35056
Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph. (English) Zbl 1541.35456
Potential well method for a class of fourth order wave equations with Newtonian potential. (English) Zbl 1541.35304
Blow-up and decay for a pseudo-parabolic equation with nonstandard growth conditions. (English) Zbl 1541.35066
General decay and blow-up of solution for a viscoelastic wave equation with nonlinear degenerate damping and source terms. (English) Zbl 1541.35074
Blow-up prevention by logistic damping in a chemotaxis-May-Nowak model for virus infection. (English) Zbl 1540.35009
On Fila-King conjecture in dimension four. (English) Zbl 07849975
Reviewer: Slim Tayachi (Tunis)
Singularities in \(L^1\)-supercritical Fokker-Planck equations: a qualitative analysis. (English) Zbl 1540.35399
Nonconvergence of the rotating stratified flows toward the quasi-geostrophic dynamics. (English) Zbl 1540.35403
Vorticity convergence from Boltzmann to 2D incompressible Euler equations below Yudovich class. (English) Zbl 1539.35156
Scattering for nonradial 3D NLS with combined nonlinearities: the interaction Morawetz approach. (English) Zbl 1540.35364
Reviewer: Eugene Postnikov (Kursk)
Limit behaviors of pseudo-relativistic Hartree equation with power-type perturbations. (English) Zbl 1541.35411
Well-posedness and finite-time singularity of solutions in a 4th-order parabolic equation. (English) Zbl 1539.35016
Analytical solutions to the pressureless Navier-Stokes equations with density-dependent viscosity coefficients. (English) Zbl 1539.35162
Instability of homogeneous steady states in chemotaxis systems with flux limitation. (English) Zbl 07835175
Reviewer: Mario Fuest (Hannover)
Unipolar Euler-Poisson equations with time-dependent damping: blow-up and global existence. (English) Zbl 1537.35087
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations. (English) Zbl 1537.35321
On the sharp scattering threshold for the mass-energy double critical nonlinear Schrödinger equation via double track profile decomposition. (English) Zbl 1535.35170
Blow-up and energy decay for a class of wave equations with nonlocal Kirchhoff-type diffusion and weak damping. (English) Zbl 1536.35197
Global existence and finite-time blowup for a mixed pseudo-parabolic \(r(x)\)-Laplacian equation. (English) Zbl 1536.35190
Well-posedness and asymptotic behavior for a \(p\)-biharmonic pseudo-parabolic equation with logarithmic nonlinearity of the gradient type. (English) Zbl 1536.35081
An optimal Liouville theorem for the linear heat equation with a nonlinear boundary condition. (English) Zbl 07818485
Global well-posedness of solutions for 2-D Klein-Gordon equations with exponential nonlinearity. (English) Zbl 1533.35210
Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point. (English) Zbl 1536.34082
Stability of the separable solutions for a nonlinear boundary diffusion problem. (English. French summary) Zbl 1533.35031
Existence and blow-up of solutions for a class of semilinear pseudo-parabolic equations with cone degenerate viscoelastic term. (English) Zbl 1533.35040
Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach. (English) Zbl 1533.35344
Well-posedness, asymptotic stability and blow-up results for a nonlocal singular viscoelastic problem with logarithmic nonlinearity. (English) Zbl 1532.35049
Optimal decay rate and convergence of the incompressible viscous resistive MHD system. (English) Zbl 1532.35376
Blow-up for the 1D cubic NLS. (English) Zbl 1537.35320
Reviewer: Vincent Lescarret (Gif-sur-Yvette)
Global dynamics of an indirect prey-taxis system with an anti-predation mechanism. (English) Zbl 1532.35047
Existence of blowup solutions to the semilinear heat equation with double power nonlinearity. (English) Zbl 1531.35089
Some qualitative properties of weak solution for pseudo-parabolic equation with viscoelastic term and Robin boundary conditions. (English) Zbl 1531.35092
Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel’fand problem. (English) Zbl 1543.35119
Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors. (English) Zbl 1531.35160
Upper estimates for blow-up solutions of a quasi-linear parabolic equation. (English) Zbl 1531.35085
Sharp well-posedness and blowup results for parabolic systems of the Keller-Segel type. (English) Zbl 1530.35033
Asymptotic behavior for the Davey-Stewartson system at the mass-energy threshold. (English) Zbl 1529.35470
Global existence and decay rates to a self-consistent chemotaxis-fluid system. (English) Zbl 1529.35529
Reviewer: Piotr Biler (Wrocław)
Asymptotic circularity of immortal area-preserving curvature flows. arXiv:2410.06183
Preprint, arXiv:2410.06183 [math.DG] (2024).
Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states. arXiv:2410.03233
Preprint, arXiv:2410.03233 [math.AP] (2024).
Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance. arXiv:2409.20049
Preprint, arXiv:2409.20049 [math.AP] (2024).
Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile. arXiv:2409.13274
Preprint, arXiv:2409.13274 [math.AP] (2024).
New solutions for the Lane-Emden problem on planar domains. arXiv:2407.15742
Preprint, arXiv:2407.15742 [math.AP] (2024).
Stability of nondegenerate ODE type blowup for the Fujita type heat equation. arXiv:2406.14218
Preprint, arXiv:2406.14218 [math.AP] (2024).
On Aharonov-Bohm operators with multiple colliding poles of any circulation. arXiv:2406.09942
Preprint, arXiv:2406.09942 [math.AP] (2024).
Collapsing-ring blowup solutions for the nonlinear heat equation. arXiv:2406.04422
Preprint, arXiv:2406.04422 [math.AP] (2024).
Asymptotic behavior of solutions for a critical heat equation with nonlocal reaction. arXiv:2405.17285
Preprint, arXiv:2405.17285 [math.AP] (2024).
Classical solutions of a mean field system for pulse-coupled oscillators: long time asymptotics versus blowup. arXiv:2404.13703
Preprint, arXiv:2404.13703 [math.AP] (2024).
Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity. arXiv:2404.11863
Preprint, arXiv:2404.11863 [math.AP] (2024).
Construction of smooth chiral finite-time blow-up solutions to Calogero–Moser derivative nonlinear Schrödinger equation. arXiv:2404.09603
Preprint, arXiv:2404.09603 [math.AP] (2024).
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